Two fundamental categories of any ontology are the category of objects and the category of universals. We discuss the question whether either of these categories can be infinite or not. In the category of objects, the subcategory of physical objects is examined within the context of different cosmological theories regarding the different kinds of fundamental objects in the universe. Abstract objects are discussed in terms of sets and the intensional objects of conceptual realism. The category of universals is (...) discussed in terms of the three major theories of universals: nominalism, realism, and conceptualism. The finitude of mind pertains only to conceptualism. We consider the question of whether or not this finitude precludes impredicative concept formation. An explication of potential infinity, especially as applied to concepts and expressions, is given. We also briefly discuss a logic of plural objects, or groups of single objects (individuals), which is based on Bertrand Russell’s (1903, The principles of mathematics, 2nd edn. (1938). Norton & Co, NY) notion of a class as many. The universal class as many does not exist in this logic if there are two or more single objects; but the issue is undecided if there is just one individual. We note that adding plural objects (groups) to an ontology with a countable infinity of individuals (single objects) does not generate an uncountable infinity of classes as many. (shrink)

I conceive of Spinoza’s substance monism as a response to Aristotle’s prohibition against actual infinity for one key reason: nature, being all things, is necessarily infi nite. Spinoza encapsulates his substance monism with the phrase, “Deus sive Natura,” implying that there is only one infinite substance, which also possesses an infi nity of attributes, of which we are but modes. These logical delineations of substance never actually break up God’s reality. Aristotle’s well-known argument against the reality of an actual (...) infinity in his Physics prohibits the existence of an actually infinite bodily substance because it would necessarily “destroy” (Physics 204b26-27) all other elements or bodies. On Aristotle’s view, there is a fundamental and concrete distinction between things: each substance is primarily a this (Categories 3b10). I maintain that Spinoza’s rationalism and radicalization of the principle of sufficient reason lends him greater explanatory potential than Aristotle to justify the (non) existence of actual infinity. (shrink)

This book focuses on the three main categories of Badiou's philosophy-being, truth, and subject- which are elaborated according to three encounters: structure, real, and mathematical infinity. It articulates an underlying theory, "discipline," constituted based on these encounters, which reveals the inner logic of Badiou's method.

Throughout the long centuries of western metaphysics the problem of the infinite has kept surfacing in different but important ways. It had confronted Greek philosophical speculation from earliest times. It appeared in the definition of the divine attributed to Thales in Diogenes Laertius (I, 36) under the description "that which has neither beginning nor end. " It was presented on the scroll of Anaximander with enough precision to allow doxographers to transmit it in the technical terminology of the unlimited (apeiron) (...) and the indeterminate (aoriston). The respective quanti tative and qualitative implications of these terms could hardly avoid causing trouble. The formation of the words, moreover, was clearly negative or privative in bearing. Yet in the philosophical framework the notion in its earliest use meant something highly positive, signifying fruitful content for the first principle of all the things that have positive status in the universe. These tensions could not help but make themselves felt through the course of later Greek thought. In one extreme the notion of the infinite was refined in a way that left it appropriated to the Aristotelian category of quantity. In Aristotle (Phys. III 6-8) it came to appear as essentially re quiring imperfection and lack. It meant the capacity for never-ending increase. It was always potential, never completely actualized. (shrink)

If "being" is usually defined in terms of something roughly equivalent to the Aristotelian categories, are we forced to say that whatever escapes classification by these categories is to that extent beyond or above being? For instance, if "perfection" is used outside of the categories which apply to particular beings and is attributed to a first principle of all things, is "perfection" in this application so different from "perfection" as it applies within the categories that the (...) two applications share nothing in common? (shrink)

In this paper, we develop a mathematical model of awareness based on the idea of plurality. Instead of positing a singular principle, telos, or essence as noumenon, we model it as plurality accessible through multiple forms of awareness (“n-awareness”). In contrast to many other approaches, our model is committed to pluralist thinking. The noumenon is plural, and reality is neither reducible nor irreducible. Nothing dies out in meaning making. We begin by mathematizing the concept of awareness by appealing to the (...) mathematical formalism of higher category theory. The beauty of higher category theory lies in its universality. Pluralism is categorical. In particular, we model awareness using the theories of derived categories and (infinity, 1)-topoi which will give rise to our meta-language. We then posit a “grammar” (“n-declension”) which could express n-awareness, accompanied by a new temporal ontology (“n-time”). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? Another question which could be re-conceptualized in our model is one of soteriology related to this pluralism: what is a self in this context? A new model of “personal identity over time” is thus introduced. (shrink)

Elementary axioms describe a category of categories. Theorems of category theory follow, including some on adjunctions and triples. A new result is that associativity of composition in categories follows from cartesian closedness of the category of categories. The axioms plus an axiom of infinity are consistent iff the axioms for a well-pointed topos with separation axiom and natural numbers are. The theory is not finitely axiomatizable. Each axiom is independent of the others. Further independence and definability (...) results are proved. Relations between categories and sets, the latter defined as discrete categories, are described, and applications to foundations are discussed. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:242 HISTORY OF PHILOSOPHY his political and religious predispositions prodded him to demonstrate that the roots of modern science were in the Christian Middle Ages. Sarton's particular foibles are best understood by referring them to his pacifist commitments and the moralistic assumption that the values of science are transferable to other human endeavors. Categories such as inductivism, conventionalism and Popperianism are of little help in gaining historical understanding. (...) For this, they are in fact Platonic ideals which have little heuristic value. I would venture that a truly historical historiography of science would aid us in spotting errors in the past and help us in the future. My guess is that a good analysis would reveal a major source of trouble to have stemmed from preconceived notions which the history of science was meant to illustrate. Surely some of them have been philosophical in character, and even Baconian or conventionalist. But until recent times, most of these preconceptions have stemmed from religious, nationalistic, or personal motivations, or from scientists who wanted support for a particular concept. I agree with Agassi only in the suggestion that a parti pris was at the root of our troubles. Why, then, substitute a Popperian preconception for a conventionalist one? Why not, on the contrary, combat their distorting influence and reduce their impact? This is in fact what has happened in recent times. As the history of science has fallen into the hands of a gradually organized profession, the blatant motivations --of any type--which colored past historical writings have slowly receded. By a constant and critical confrontation of opposing views among specialists, the purpose for examining the history of science has slowly been transformed. The older external motivations have given way to an interest in the subject for its own sake and a gradual transformation has been in the making for the last few decades. As happens in other human endeavors, professionalization has already raised the standards in the discipline and there is every reason to think it will continue to do so in the future. We need not really be as pessimistic as Agassi, nor embrace his particular salvation. ROGEa HAm~ University o] Cali]ornia, Berkeley A MEDIEVAL ANALYSIS OF INFINITY IN THE COURSEof arguing that time must have had a beginning, St. Bonaventure (1221-74) put forward a demonstration which in some ways seems to anticipate Cantor's definition of infinity.1 Bonaventure pointed out that, if the world were infinitely old, then there would have been an infinite number of annual revolutions of the sun around the ecliptic. But during each such period there occur (roughly) twelve revolutions of the moon, i.e. lunar months or lunations. Thus there would be one infinity which was twelve times another--which, says Bonaventure, is impossible. This attempted proof might be formulated as the following For other adumbrationsof this definition,see I. Thomas,"A TwelfthCentury Paradoxof the Infinite,"Journal o] Symbolic Logic, XXIII (1958), 133-134, and W. & M. Kneale, The Development of Logic (Oxford,1962),p. 440. NOTES AND DISCUSSIONS 243 reductio ad absurdum, in which a revolution of the sun is specified as the period between successive vernal equinoxes. If there could be an infinite set of past lunations, then clearly it could be put in a one-to-one correspondence with a proper sub-set of itself--viz., with the set of past lunar months during which vernal equinoxes occurred. But this consequence is preposterous; no set could be so correlated with its own sub-set. Therefore the set of past lunar months cannot be infinite, and the world must have had a beginning. The passage, which is found in Bonaventure's commentary on the Sentences of Peter Lombard, reads as follows :2 Si mundus est aeternus, revolutiones solis in orbe suo sunt infmitae ; rursus, pro una revolutions solis necesse est fuisse duodecim ipsius lunae: ergo plus revoluta est luna quam sol; et sol infinities: ergo infinitorum ex ea parle, qua infinita sunt, est reperire excessum. Hoe autem est impossibile : ergo etc. PA~-r~asoN BROWN Harpur College, State University o] New York Sententiarum L/b. H, Dist. I, P.I, Art. I, Quaest. II, as found in S. Bonaventurme, Opera Omnla... (shrink)

Many results in logic and mathematics rely on techniques that allow for concrete, often visual, representations of abstract concepts. A primary example of this phenomenon in logic is the distinction between syntax and semantics, itself an example of the more general duality in mathematics between algebra and geometry. Such representations, however, often rely on the existence of certain maximal objects having particular properties such as points, possible worlds or Tarskian first-order structures. -/- This dissertation explores an alternative to such representations (...) known as possibility semantics. Its core idea is to replace maximal objects with ordered systems of partial approximations. Although it originates in the semantics of modal logic and the representation of abstract ordered structures, I argue that it has far-reaching mathematical, foundational and philosophical significance, especially in the context of semiconstructive mathematics, a foundational framework that does not assume any fragment of the Axiom of Choice beyond the Axiom of Dependent Choices. -/- The dissertation is divided in two main parts. The first part explores various applications of the mathematical framework underlying possibility semantics to lattice theory and non-classical propositional logics. A major theme is the development of constructive dualities for various categories of lattices, which are related to standard non-constructive dualities via Vietoris constructions. -/- The second part of the dissertation explores the alternative foundational setting of semi-constructive mathematics, focusing on three applications of possibility semantics for classical first-order logic to the philosophy of the mathematical infinite. In particular, we introduce generic powers, a semi-constructive analogue of ultrapowers in classical model theory, and we explore the merits of these structures from a foundational, conceptual and historical viewpoint. (shrink)

Part Two contains the text-in German and English-of the first two chapters of Hegel's Logic, which cover such categories as being, becoming, something, limit, ...

Il saggio esamina il modo in cui nell’Antichità classica è stato pensato il conflitto politico a partire dalla riflessione su “fazioni” e “partiti”. L’analisi prende le mosse da Omero ed Esiodo, per i quali la Giustizia è lo strumento con cui dal caos originario si passa al cosmo ordinato. Si concentra quindi sulla nascita della polis come fattore di mediazione del conflitto fra le “parti” sociali, affrontando il pensiero di Tucidide, Platone e Aristotele, che condividono la stessa critica nei confronti (...) di “parti” interpretate come “fazioni” distruttive dell’ordine politico. Polibio, invece, valorizza le “parti” come elementi costitutivi del “tutto” politico, mentre per Sallustio le “fazioni” sono la causa della decadenza della Repubblica romana. Anche Cicerone rifiuta le “fazioni” in quanto distruttive della “concordia” dello Stato, mentre con l’Impero viene superato l’orizzonte particolaristico delle poleis; sarà Tacito, infine, a riflettere sulla contraddizione di un potere particolare che si legittima come universale. (shrink)

In this paper, we propose a mathematical model of subjective experience in terms of classes of hierarchical geometries of representations (“n-awareness”). We first outline a general framework by recalling concepts from higher category theory, homotopy theory, and the theory of (infinity,1)-topoi. We then state three conjectures that enrich this framework. We first propose that the (infinity,1)-category of a geometric structure known as perfectoid diamond is an (infinity,1)-topos. In order to construct a topology on the (infinity,1)-category of (...) diamonds we then propose that topological localization, in the sense of Grothendieck-Rezk-Lurie (infinity,1)-topoi, extends to the (infinity,1)-category of diamonds. We provide a small-scale model using triangulated categories. Finally, our meta-model takes the form of Efimov K-theory of the (infinity,1)-category of perfectoid diamonds, which illustrates structural equivalences between the category of diamonds and subjective experience (i.e.its privacy, self-containedness, and self-reflexivity). Based on this, we investigate implications of the model. We posit a grammar (“n-declension”) for a novel language to express n-awareness, accompanied by a new temporal scheme (“n-time”). Our framework allows us to revisit old problems in the philosophy of time: how is change possible and what do we mean by simultaneity and coincidence? We also examine the notion of “self” within our framework. A new model of personal identity is introduced which resembles a categorical version of the “bundle theory”: selves are not substances in which properties inhere but (weakly) persistent moduli spaces in the K-theory of perfectoid diamonds. (shrink)

The article affixes a resolutely structuralist view to Alain Badiou’s proposals on the infinite, around the theory of sets. Structuralism is not what is often criticized, to administer mathematical theories, imitating rather more or less philosophical problems. It is rather an attitude in mathematical thinking proper, consisting in solving mathematical problems by structuring data, despite the questions as to foundation. It is the mathematical theory of categories that supports this attitude, thus focusing on the functioning of mathematical work. From (...) this perspective, the thought of infinity will be grasped as that of mathematical work itself, which consists in the deployment of dualities, where it begins the question of the discrete and the continuous, Zeno’s paradoxes. It is, in our opinion, in the interval of each duality ― “between two ends”, as our title states ― that infinity is at work. This is confronted with the idea that mathematics produces theories of infinity, infinitesimal calculus or set theory, which is also true. But these theories only give us a grasp of the question of infinity if we put ourselves into them, if we practice them; then it is indeed mathematical activity itself that represents infinity, which presents it to thought. We show that tools such as algebraic universes, sketches, and diagrams, allow, on the one hand, to dispense with the “calculations” together with cardinals and ordinals, and on the other hand, to describe at leisure the structures and their manipulations thereof, the indefinite work of pasting or glueing data, work that constitutes an object the actual infinity of which the theory of structures is a calculation. Through these technical details it is therefore proposed that Badiou envisages ontology by returning to the phenomenology of his “logic of worlds”, by shifting the question of Being towards the worlds where truths are produced, and hence where the subsequent question of infinity arises. (shrink)

In “Violence and Metaphysics” Jacques Derrida suggests that “the only effective position to take in order not to be enveloped by Hegel would seem to be…to consider false-infinity…irreducible.” Inversely, refuting the charge of logocentrism associated with Hegelian true infinity ( wahrhafte Unendlichkeit ) would involve showing that Hegel’s speculative logic does not establish the infinity of being exempt from the negativity of the finite. This paper takes up Derrida’s challenge, and argues that true infinity is crucial (...) to Hegel’s understanding of ideality as a question of normative authority, which does not fall prey to logocentrism. Through an exposition of the dialectic of the finite and the infinite in Hegel’s Science of Logic , I argue that true infinity is not an ontological category that eliminates division, but rather refers to the metalogical standpoint involved in a philosophical account of determinacy. Although fully achieved at the end of the Logic , the metalogical standpoint that Hegel elaborates in the Seinslogik under the banner of the true infinite already clarifies that determinacy is a product of normative authority that is itself precarious. (shrink)

The book aims to examine how a Trinitarian Theism can be formulated through the elaboration of a Relational Ontology and a Trinitarian Metaphysics, in the context of a hyperphatic epistemology. This metaphysics has been proposed by some supporters of the so-called Open Theism as a solution to the numerous dilemmas of Classical Theism. The hypothesis they support is that the Trinitarian nature of God, reflected in a world of multiplicity, relationality, substance and relations, demands that we think of God as (...) dynamic, internally multiple and relational. However, if the expression «God is love» – understood as the formula of the Trinity – is the key to a new theism, it leaves a problem open: how can it be translated philosophically? The research develops on two different levels: first, it assesses whether the expression should be translated into the Trinitarian paradigm, and the aporias it generates; secondly, it tries to assess whether this paradigm (eminently relational) has a correspondence in ontology: is there a satisfactory Relational Metaphysics already available? The suspicion is that such Trinitarian-Relational Ontology, invoked by many as a solution to the incongruities of classical theism, has yet to be formulated in a satisfactorily manner, despite the existence of various attempts to formulate Relational Ontologies. In order to provide an evaluation of all these attempts and to outline some possible new perspectives, the thesis consists of five chapters. It is the aim of the present dissertation to evaluate such attempts, and to outline some possible new solutions. In the chapters some points have been established: 1. there must be at least one irreducible real relation (non-reductionist realism); 2. the relation must be equally fundamental to the substance: this means that it is both external and internal; 3. this relation must be able to account for contingent causality; 4. holism is a plausible position; 5. the Trinity is a good theistic model of the divine, apophatic but rational. The last chapter then returns to ontological questions: several Relational Ontologies are examined – including ontic structural realism and process (or eventist) ontology – together with their applications in philosophy of religion (e.g.: the Relational God, Process Trinitarianism, the Entangled God). This assessment shows how all these ontologies postulate real transcendental relations (subsistent relations), inside the substances or inside the powers, inside the tropes or the structures, describing them as monads or processes (or actual occasions). These relations are the same we need to describe the Trinity. Therefore, they are either possible for both domains – ontology and theology – or they are both impossible. It has been opted for the second conclusion. But they are both impossible and inevitable: the fundamental entities of the world and their interactions (causation) must be described as real transcendental relations because each ontology transforms entities or relations into real transcendental relationships at some point. Thus, neither relationalism nor substantialism are convincing: from the fall of these two dogmas (or, rather, from the fall of their naive interpretations) we can realise that the fundamental reality is something that lies between processism (relationalism) and substantialism. It is impossible to completely substitute the notion of substance with the notion of event, process, structure or relation, both in speaking of God and in speaking about the entities of fundamental ontology. Neither monism nor pluralism can be affirmed in their pure forms. The hypothesis proposed, then, is that the notion of gunk-junk is the only one that can translate the relationality hitherto sought in an ontological model. The central part of the chapter describes the merits and defects of an eventist-infinitive ontology (EIO) based on the concept of gunk, and its potentiality to generate new theistic accounts. Through the notion of infinityings it seems to be possible to find some solutions for the questions left open by the causal relation, and therefore to defend at least the existence of one relation (external and internal). Each fundamental entity is described, in this ontology, through four transcendentals: ‘entity’, ‘relation’, ‘unity’ and ‘multiplicity’. The co-primarity between substance and relations (borrowed from the notion of relatio subsistens) differentiates EIO from the process philosophies precisely because it does not pretend to eliminate the substantial principle, or the category of substance, but wants to think of it with the transcendental of relationality. Of course, EIO poses a challenge to the role, the method and the explicative capacity of metaphysics, because what we can state of the fundamental reality is antinomic. EIO tries to assume the antinomy as a result, to make it the basis of a kind of apophatic ontology. If our best ontology is gunky, then it is possible to confirm what has been said in chap. 4: the ‘how’ of individual substances is unknown to us at least as much as the ‘how’ of God. Even in the world we have the mystery of a distinction that is not division. However, the convergence of these antinomies can find an ultimate explanation in a theistic metaphysics (EIM): God creates inside of Himself and his Trinitarian substance is “contracted” into the worldly entities. They are made contingent and ontologically different by this self-limitation, but it is still the infinity of God that makes space in Himself for something new, even though He is totally present in every entity. It is not absurd to think that the substances of the world keep track of the divine nature, even in His “contraction”. Among the characteristics of the divine nature that each created entity maintains we have the subsistent relationality, the pericoretic indwelling (the infinite gunk-junk), the fact of being always one-and-many. If EIO and EIM are accepted as a good compromise between relationalism and substantialism, even in their apophaticity, then, on this basis, a Trinitarian Philosophy is possible. The picture of reality that emerges represents the world as multiple, substantial, contingent and intrinsically relational, forcing us to postulate the transcendental of relationality and multiplicity. Such transcendental leads us to think of the world and God (and their relations) in a Trinitarian way – With the necessary acknowledgement that this is a reasonable but apophatic discourse. (shrink)

In this article, we present for the first time Schelling’s early critique of absolute idealism within his middle metaphysics (1804–1820), which has great relevance and influence on the subsequent course of German philosophy, and, more broadly considered, on later systematic thinking about the categories of unity and duality. We aim to show how Schelling defends a form of metaphysical duality, from 1804 onwards, without relapsing into a stronger Kantian dualism. In this sense, our author rejects both the dualism between (...) nature and spirit, necessity and freedom, as well as the monist-immanent metaphysical stance later associated with Hegelian panlogism. Against Hegel, Schelling increasingly vindicates the reality of the finite and degrades the infinite to mere ideality in a movement that resembles later existentialism. Furthermore, we defend Schelling against the accusation of irrationalism that sections of Hegelianism formulated against him and present the concept of infinity without the notion of totality, which he thinks of, much like Fichte, in the light of the concept of an ‘infinite task’. Schelling’s later criticisms of Hegel are shown to be influenced by his early idealist critique of the period at hand. (shrink)

Although some people argue Emmanuel Levinas is a Jewish thinker because he introduces in his philosophical work ideas which come from the Jewish tradition, I want to present him as a philosopher. A philosopher who tries to widen the philosophical horizon which is traditionally a Greek one but, at the same time, a philosopher who does not want to abandon it. In one of his main books Totality and Infinity, he describes western civilization as an hypocritical one because it (...) is attached both to the True and to the Good, but he adds:It is perhaps time to see in hypocrisy not only a base contingent defect of man, but the underlying rending of a world attached to both the philosophers and the prophets, When reading Levinas we may realize that such an ‘hypocrisy’ might well be a blessing from a philosophical point of view. One of Levinas's philosophical aims is to refer to the Greek language of philosophy—a language he asserts to be of universal significance—in order to elucidate ideas that come from the Hebrew world view, from the prophets and from the sages. He wants to give a new insight into Greek categories and concepts but he refuses to abnegate the philosophical requirements for accuracy. That is why when he refers to biblical verses or to Talmudic apologues, he does not want to prove anything. His philosophical writings are indeed philosophical because he does not yield to the temptation of substituting the authority of a certain verse or of a certain name to the philosophical requirement of argumentation. (shrink)

Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school’s motto was “God is number,” or “All is Number”. Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born and Pythagoras’ (...) idea of divinity in numbers died because how could God not be perfect and symmetrical? In Plato’s Republic he discusses something called The Divided Line, which is a map, of sorts, for reaching what he calls the highest Good, which is the ultimate truth where one realizes the true state of the universe and can see the world for what it really is. Many mathematicians have attempted to plot Plato’s Divided Line only to come across a litany of problems and conundrums. Some have said that it the Divided Line cannot be plotted and is merely an allegory not meant to be plotted. This paper discusses some of the conundrums preventing the plotting of Plato’s Divided Line (not an exhaustive list), including Whole ‘vs’ Separate, Equality ‘vs’ Ontological Dissimilarity, Linear ‘vs’ Non-linear, and Infinity ‘vs’ Finite. This paper also explores a new understanding of the Allegory of the Cave in light of ‘the problem of the irrational.’ In exploring the link between the Divided Line and the ‘the problem of the irrational,’ I was able to plot it. It was found that the Divided Line is not a line in the linear sense, but a spiral, the Golden Ratio! This paper is an example of a new category of scholarly inquiry I call “Math Theory” based on scholarly mathematical axioms in theory, rather than including actual maths. In my papers I use existing mathematical equations and place them in an encompassing theory, rather than finding new formulae to fit an existing theory. Keywords: Pythagoras, divided line, math theory, highest good, all is number. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:diacritics 34.2 (2006) 14-36 [Access article in PDF] "The Possibility of the Poetic Said" in Otherwise than Being (Allusion, or Blanchot in Lévinas) Gabriel Riera Language would exceed the limits of what is thought, by suggesting, letting be understood without ever making understandable [en laissant sous-entendre, sans jamais faire entendre] an implication of meaning distinct from that which comes to signs from the simultaneity of systems or the logical (...) definition of concepts. This possibility [vertu] is laid bare in the poetic said. [...] It is shown in the prophetic said. —Emmanuel Lévinas, Otherwise than Being [my emphasis] Writing, without placing itself above art, supposes that one not prefer art, but efface art as writing effaces itself. —Maurice Blanchot, Writing of the DisasterIn an effort to elucidate a more originary difference than Heidegger's ontological difference between Being and entities, as well as an ethicity of thinking able to respond to the trace of transcendence of the other's face, Lévinas's philosophy redefines language radically and does so in uneasy proximity to poetic language. In Otherwise than Being or Beyond Essence (1974), Lévinas deploys a constellation of terms—discourse, expression, communication, face, sincerity, witnessing, prophecy—in order to elucidate the ethical dimension of language, the ethicity of philosophical discourse. This constellation revolves around the crucial notion of signification and the two operative concepts of the said (le dit) and saying (le dire). By the former Lévinas understands the semantic content of an utterance or the giving of signs by a sender to an addressee, but also the different modalities by which a subject masters the world by assimilating it to the measure of consciousness (discourse, narration, history, manifestation, representation). Saying (le dire) refers to the way of signifying primarily that I am for the other, the expression of being-for-the-other that subjectivity "is" before positioned as the source of signs or comprehension: subjectivity as exposition. While the said expresses a content, the saying is expression without content.Language for Lévinas is the "structure" of both the retraction and the inscription of infinity (l'infini), and this "structure" is what Lévinas calls ethics. It is thus possible to affirm that in Lévinas there is no ethical turn without a certain linguistic turn, one in which the a priori of language is interrupted by an anteriority whose a priori character is enigmatic. But Lévinas's linguistic turn is turned inside out: for him language contains the other's call and thus harbors a form of exteriority within itself. This is because language is elevated to a metaphysical category (in the sense of Totality and Infinity [1961], where it means the breaching or interruption of totality) that exceeds the simple [End Page 14] "giving out of signs" [délivrance de signes] [AE 81/OB 48] or communication. Lévinas claims that "saying is communication, to be sure, but as a condition for all communication, as exposure [exposition]" [AE 82/OB 48]. Signification precedes and defines language as proximity and contact with the other and not as the "vicissitude [peripetia] of the thematizing intentionality" [AE 216/OB 137] of a subject whose main attribute is its ability to synchronize questions and answers, being and its manifestations, and by so doing leaves no margin for being exposed to the other. Further, signification also names an enigmatic pre-diction that challenges the primacy that language, understood as a system of signs, enjoys in other philosophies (structuralism and analytic philosophy, for example).Most critics agree that Lévinas's philosophy is inhospitable to aesthetic phenomena and ambivalent toward poetic language. His severe condemnation of the work of art in "Reality and Its Shadow" (1948) is still present in Totality and Infinity, Lévinas's first major work, where he establishes a relation with the other as face-to-face in discourse. And although in Otherwise than Being Lévinas finally acknowledges "poetic" language's ability to suggest significations that exceed the order of discourse and even endows it with a (quasi)-ethical force... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Picturing Hegel: An Illustrated Guide to Hegel’s Encyclopaedia LogicJames A. Dunson IIIJulie E. Maybee. Picturing Hegel: An Illustrated Guide to Hegel’s Encyclopaedia Logic. Lanham, MD: Lexington Books, 2009. Pp. xxvii + 639. Paper, $56.95.If Hegel were alive to read an illustrated guide to his Encyclopaedia Logic, he might not immediately appreciate the project. Not only did he consider “picture-thinking” deficient in comparison to conceptual thinking, but he regarded (...) the Encyclopaedia Logic as a text suitable for German students. In her recent book, Picturing Hegel, Julie Maybee acknowledges these ironies and proceeds to guide those of us who need a little extra help in understanding Hegel’s speculative logic.What results is a significant contribution to the literature, a step-by-step commentary [End Page 536] through one of Hegel’s most underappreciated works. Using diagrams to cut through the often-difficult prose proves to be an excellent strategy. Maybee’s exquisitely detailed and admirably clear exposition makes her a suitable Virgil to guide us through the Inferno of Hegel’s logic.Maybee’s task is to show how Hegel’s logic is, actually, logical, and not, as she puts it, “A jumble of random moves from one step to the next” (xiii). She distinguishes Hegel’s speculative logic from the logic we teach nowadays by emphasizing Hegel’s concern to generate and develop the concepts he employs. That is, he is concerned not merely with the rules connecting the logical terms (i.e. syntax), but also the meanings of the terms themselves (i.e. semantics).As one might expect, these concepts are developed dialectically: two elements that are ordinarily opposed to one another are revealed to be mutually defining and interdependent. Readers already familiar with Hegel’s work will appreciate the way in which Maybee explains complicated ideas like “Actuality” and “spurious infinity.” Maybee has a talent for inventive examples, some of which she carefully carries through the entire work. Also, she has an eye for Hegel’s own examples (see, for instance, the comparison of the Absolute Idea and an old man on 580–82).One of the chief merits of her detailed account is its balanced approach. Instead of perpetuating prevalent but superficial interpretations, she explains the different senses in which something is true. For instance, she distinguishes the different meanings of idealism and shows how Hegel retains some materialist elements in his logic (302). Her knowledge of the history of philosophy helps her to put Hegel’s logic in its proper context. The asides to the Pre-Socratic philosophers and the repeated references to Kant are especially useful.Maybee’s approach to the logic, especially the way in which she frames Hegel’s project, raises interesting philosophical questions. She portrays Hegel as attempting to overcome Kant’s skepticism regarding the unity of thought and being. The question is whether reality is fundamentally accessible to reason, or whether the categories we employ to understand the world are limited to our phenomenal experience.But if Hegel’s logic is supposed to refute the Kantian “thing-in-itself,” we can ask whether this is an intelligible philosophical goal. First, Maybee points out that critics like Nietzsche would ask whether we have to be “committed to logical or conceptual necessity” (130). Perhaps Hegel exhibits a rather typical philosophical bias toward conceptual stability and even necessity. Second, any investigation into logical semantics that is biased in this way inevitably opens Pandora’s Box. Determining the meaning of logical terms is a messy business, and Hegel sometimes seems to stipulate meanings instead of genuinely deriving them. For instance, as Maybee writes, a crucial part of Hegel’s definition of existence is that something is “capable of being experienced” (204). But this simply begs the question against Kant’s “thing-in-itself,” since clearly Kant does not think it exists in this way.Third, given that Maybee points out Hegel’s anthropocentric language, we can ask whether his casual and frequent references to human experience are innocent or self-undermining. For instance, what are we to make of Hegel’s use of ethical examples to explain logical concepts like actuality, necessity, and possibility? A Kantian might... (shrink)

To help consider why some groups solve problems successfully but others do not, this article introduces a framework for analyzing sequences of group members' actions. The dimensions of evaluation of the previous action , knowledge content , and invitational form organize twenty-seven individual actions, each with specific functions and conditions of use. Evaluations, repetitions and invitational forms link actions together to create coherent social interactions, and thereby serve as possible quantitative measures of collaboration quality. Specific individual action also helps constitute (...) specific social interactions. Six types of social interactions that occur during group problem-solving are organized by problem knowledge distribution and degree of cooperation . This framework's mutually exclusive categories and multi-function individual actions allow statistical analyses of many group interactions both in their entirety and infine detail. (shrink)

This work explores questions of God and faith in the context of Martin Heidegger's phenomenological ontology, as developed in Being and Time . One problem with traditional philosophical approaches to the question of God is their tendency to regard God's existence as an objective datum, which might be proven or disproven through logical argumentation. Since Kant, such arguments have largely been dismissed as predicated on a priori assumptions whose legitimacy cannot be substantiated. This dismissal has led to a widening divorce (...) between 'faith' and 'reason,' as the rational grounds for faith have come under increasing, and radical, attack. ;Heidegger provides a new reason to question the legitimacy of traditional philosophical approaches to the question of God. His phenomenological ontology reveals that concernful relations lie at the foundation of our apprehension of Being, hence any attempt to 'prove' the existence of God as a purely 'objective' datum must miss the significance of the very phenomenon it seeks to apprehend. Dasein, as Being-in-the-world, is primordially related to and concerned with the world revealed to it. Any attempt to understand the meaning of Being, then, must take its stance from an examination of the concernfulness of Dasein. This, however, affords us a new possibility for approaching the question of God; one which pursues this question, not in terms of metaphysical categories, but in terms of its significance for the concernful human being. ;At the same time that Heidegger's thought allows us this new approach, however, his existential analyses seem to deny any legitimacy to religious faith at all. For Heidegger, the human being is 'Being-towards-death,' i.e., essentially enclosed in finitude, whereas for religion the human being has an essential relation to the infinity of God. Our work, then, has a twofold purpose. We seek, first, to explore the meaning of God and faith as these may be understood in terms provided by Heidegger's phenomenological ontology. We seek, second, to examine the way in which that ontology is itself challenged by a religious conception of human Being. (shrink)

THE notion of quantity is basic and it is no surprise that Aristotle refers to it in many places. There are two main discussions, that in the Categories—a part of the Organon which is of great interest to modern logicians and that spread over the physical treatises. Naturally the two treatments overlap, but modern logic is at a far remove from classical cosmology and it is fairly easy to separate them at their sources. This I have attempted to do (...) by considering quantity as an attribute and as divisible. There follows a brief consideration of the notions arrived at for their relevance to modern mathematics with particular reference to the real number system and the notion of infinity. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Literature 26.1 (2002) 24-42 [Access article in PDF] Emmanuel Levinas and Iris Murdoch: Ethics as Exit? C. Fred Alford THE LEVINAS EFFECT it has been called, the ability of Emmanuel Levinas's texts to say anything the reader wants to hear, so that Levinas becomes a deconstructionist, theologian, proto-feminist, or even the reconciler of postmodern ethics and rabbinic Judaism. Talmudic scholar and postmodern philosopher, Levinas has become everything (...) to everyone. Abstract and evocative, writing in what can only be described as the language of prophecy, we pretend we understand what he is talking about, writing in much the same style, so as to say whatever we wanted to say in the first place. Even those who disagree with Levinas generally criticize him from within the framework of his project, sharing his assumptions while trying to make Levinas more Levinassian. 1How might one disrupt the Levinas Effect? By disrupt, I mean criticize Levinas sympathetically, from a perspective outside his "system," but not outside his world. Levinas's world is one in which the self is the enemy not only of the other, but of authentic existence. Iris Murdoch shares this view with Levinas. Like Levinas, Murdoch sees the self as the enemy. "Unselfing," as she calls it, is the means; the end is to overcome totality, which means the subjection of the other to my categories and my experience. Levinas means much the same thing by totality. It is his philosophical idée maîtresse, the troubling tendency of Western thought from Plato to Hegel and beyond."What breaks the drive of consciousness to totality is not an appeal to an abstract social or linguistic whole, but an encounter with the concrete other person." Levinas did not say this, nor did Iris Murdoch. Maria Antonaccio says it in a book about Murdoch, in which she compares Murdoch's views to those of Levinas. What they share, says [End Page 24] Antonaccio, is this critique of totality, even if "Murdoch would reject the language of command, lordship and accusation that pervade Levinas's account." 2Certainly Levinas's language of persecution is one of the most striking aspects of his account, and I will not ignore it. But it is not the most important thing that distinguishes him from Murdoch. One might argue that it is the "concrete other person" that distinguishes Levinas from Murdoch, for in many respects the other is an abstraction for Levinas. "The best way of encountering the Other is not even to notice the color of his eyes!" says Levinas. 3 Only at a distance is the other abstract enough to remind us of infinity.This distinction comes closer to capturing the difference between them. Even more important, Levinas shares Sartre's nausea at the thingyness of the world. Levinas calls it the il y a, the "there is." It is this that makes his account closer to Sartre's than one might imagine, and more distant from Murdoch. This does not, of course, make Levinas wrong. The comparison with Murdoch is a way of getting out from under the Levinas Effect.My goal is to better understand Levinas by comparing him with Murdoch. This requires that Murdoch's philosophy be seriously considered, but perhaps not as seriously as that of Levinas. Murdoch is the other, Levinas the subject. Possibly we will end up understanding the other better than the subject. I The outlines of Levinas's philosophy will be familiar to many readers. I will elaborate upon a story told by Levinas to recount it. 4 Imagine that someone rings your doorbell and disturbs your work. As you walk to the door you are distracted, still thinking about your latest project. It takes you a moment to recognize your neighbor at the door, the one who lives upstairs; as soon as you recognize his face you invite him in. You talk for a while. He tells you his problem, you tell him what you might do to help him. You share some pleasant conversation, and soon enough your neighbor leaves. What you originally experienced... (shrink)

The large-structure tools of cohomology including toposes and derived categories stay close to arithmetic in practice, yet published foundations for them go beyond ZFC in logical strength. We reduce the gap by founding all the theorems of Grothendieck’s SGA, plus derived categories, at the level of Finite-Order Arithmetic, far below ZFC. This is the weakest possible foundation for the large-structure tools because one elementary topos of sets with infinity is already this strong.

Structure or system is a ubiquitous and indispensable feature of all our experience and theory, and requires an ontological analysis. The essays collected in this volume provide an account of structure founded upon the proper analysis of polyadic relations as the irreducible and defining elements of structure. Following from an analysis of ontic predication there is given a number of principles delineating realist instance ontology, together with a critique of both nominalistic trope theory and modern revivals of Aristotle's instance ontology (...) of the Categories. It is shown how the resulting theory of facts can, via "horizontal" and "vertical" composition, account for all the hierarchical structuring of our experience and theory, and, importantly, how this can rest upon an atomic ontic level composed of only dependent ontic predicates. The latter is a desideratum for the proposed "Structural Realism" ontology for micro-physics where at its lowest level the physical is said to be totally relational/structural. Nullified is the classic and insidious assumption that dependent entities presuppose a class of independent substrata or "substances," and with this any pressure to admit "bare particulars" and intensionless relations or "ties." The logic inherent in realist instance ontology--termed "PPL"--is formalized in detail and given a consistency proof. Demonstrated is the logic's power to distinguish legitimate from illegitimate impredicative definitions, and in this how it provides a general solution to the classic self-referential paradoxes. PPL corresponds to Gdel's programmatic "Theory of Concepts." The last essay, not previously published, provides a detailed differentiation of identity from indiscernibility, preliminary to which is given an explanation of in what sense a predicate logic presupposes an ontology of predication. The principles needed for the differentiation have the significant implication (e.g., for the foundations of mathematics) of implying an infinity of logical entities, viz., instances of the identity relation. Donald Mertz is currently the director of the Center for Academic Development at the University of Missouri - St. Louis. He has taught both university philosophy and mathematics, and has published a number of articles in analytic philosophy. He is the author of Moderate Realism and Its Logic, and is an associate editor of The Modern Schoolman. (shrink)

Questo articolo studia la natura dinamica della conoscenza per giungere a meglio identificarne i suoi congegni formativi, nel versante epistemico come in quello applicativo. La metafora di Jacob sulla natura come “bricoleur” è, nelle nostre intenzioni, una cornice descrittiva di come agisce l’intelligenza e si muove. Si chiarirà la relazione fra biologia e pedagogia, al fine di elaborare ipotesi operative. La prospettiva eremeneutica utilizzerà la categoria di “estetica realazionale” messa a punto da Bateson quale base di una teoria della conoscenza (...) tesa a elaborare processi di ottimizzazione dell’apprendimento. L’analisi delle teorie e delle loro aporie nel dibattito internazionale si basa su di una revisione costante del modello in relazione alle sue evidenze. La verifica si è valutata in merito alla coerenza fra obiettivi, presupposti e categorie utilizzate; infine, fra questi elementi e la possibilità di un loro riassestamento. Risultati attesi sono proposte operative sulla modificabilità cognitiva. (shrink)

I shall argue that Hegel’s concept [Begriff] has emancipatory power [Macht]. In the Science of Logic, Hegel rejects both essentialist conceptions of identity and historical necessity, and he shows that conceiving [begreifen] (or ‘grasping’) is an anticipatory self-movement of thought. The relation between ‘essence’ and ‘concept’ in Book II of the Science of Logic is unlike the relation between ‘essence’ and ‘form’ in Plato to Kant. I will defend this claim not by comparing Hegel’s ‘essence [Wesen]’ with similar categories (...) in the texts of Plato or Kant but, rather, by focusing more narrowly on two transitions in the Logic that illustrate Hegel’s break from prior philosophy with respect to his account of essence. The transition in Book I from ‘the ought [das Sollen]’ to infinity, in combination with the transitions in Book II from Existenz (‘concrete existence’) and appearance to actuality [Wirklichkeit] compose the core of Hegel’s rejection of a Platonic/Kantian normative model of essence. The category of actuality is the turning point of the Logic and shows that Hegel rejects all essentialist conceptions of form. For Herbert Marcuse, actuality is the core of thought’s self-movement, its motility (or, referring to Aristotle as Marcuse does, Hegelian thought’s being qua being). I shall extend Marcuse’s interpretation of the Logic to treat the category of actuality in the context of recent feminism and political theory. (shrink)

I defend a novel interpretation of Kant's conceptualism regarding the contents of our perceptual experiences. Conceptualist interpreters agree that Kant's Deduction aims to prove that intuitions require the categories for their spatiality and temporality. But conceptualists disagree as to which features of space and time make intuitions require the categories. Interpreters have cited the singularity, unity, infinity, and homogeneity of space and time. But this is incompatible with Kant's Aesthetic, which aims to prove that these same features (...) qualify space and time as intuitions, not concepts. On my interpretation, the feature is objectivity. Space and time are objective, in that they ground our judgments in geometry and mechanics. (shrink)

Abstract In this article, I attempt to trace Emmanuel Levinas's notion of transcendence and its relation to infinity to his Talmudic lectures to offer both a philosophical diagnosis as well as a counter to the essentialist logic of what Levinas considers the traditional or ?metaphysical? concept of time. This opens my speculative argument up to two levels of interpretation as it requires an historical investigation into the cultural context that conditioned Levinas's particular understanding of transcendence and infinity in (...) relation to his turn toward Talmud and sacred Jewish texts in the years following World War Two. But it also requires that we take seriously the critique of history as inadequate to such a task that is inherent in Levinas's presentation of these concepts. All of this hinges on the role and place of ?time? in Levinas. I consider Levinas's category of ?time immemorial? as a counter to the essentialist logic of what Levinas considers the traditional or ?metaphysical? concept of time which I claim is at the core of the ?realist? attitude toward the practice of history founded upon the categories of agency, experience, memory, testimony, and most recently the importance of ?presence?. This in turn leads me to propose two possible alternatives, through Freud and Derrida, that conserve Levinas's critique of the essentialist understanding of time uncoupled from any transcendent or theological mechanism. (shrink)

The article discusses the theoretical status of the category of uncertainty. Instead of the classical definitions of uncertainty as an ontological or epistemological concept, a composite theoretical construct is proposed. In classical science, the objectivist representation of the subject of research was preferred. With the nonclassical type of rationality, there rises problem of including subjective elements in a theoretical description. Attention to subject-subject-object methodologies is increasing due to the complication of communicative interactions in science and society in the digital era. (...) One of the consequences of active innovative projective activity on a planetary scale and increasing risks is the perception in the public mind of uncertainty as a challenge. The author considers it appropriate to study the uncertainty-certainty as a paired category. The category of uncertainty was considered in philosophy, science, and management. The status of uncertainty as infinity and formlessness was recognized by Greek natural philosophers. Classical science developed the methodology of knowing the “infinite limit” through the construction of theoretical schemes (forms) and types of empirical testing. The paradox served as a means of destroying dogmatic schemes. In the context of increasingly complex communications in science, the importance of cognitive problems in the study of collective thinking and the personal beginning of creativity is increasing. Modern economic positivism is distinguished by its rejection of objective uncertainty, and the installation of the ability to efficiently manage exclusively accurate calculations is brought to extremes. (shrink)

Saunders Mac Lane has drawn attention many times, particularly in his book Mathematics: Form and Function, to the system of set theory of which the axioms are Extensionality, Null Set, Pairing, Union, Infinity, Power Set, Restricted Separation, Foundation, and Choice, to which system, afforced by the principle, , of Transitive Containment, we shall refer as . His system is naturally related to systems derived from topos-theoretic notions concerning the category of sets, and is, as Mac Lane emphasises, one that (...) is adequate for much of mathematics. In this paper we show that the consistency strength of Mac Lane's system is not increased by adding the axioms of Kripke–Platek set theory and even the Axiom of Constructibility to Mac Lane's axioms; our method requires a close study of Axiom H, which was proposed by Mitchell; we digress to apply these methods to subsystems of Zermelo set theory , and obtain an apparently new proof that is not finitely axiomatisable; we study Friedman's strengthening of , and the Forster–Kaye subsystem of , and use forcing over ill-founded models and forcing to establish independence results concerning and ; we show, again using ill-founded models, that proves the consistency of ; turning to systems that are type-theoretic in spirit or in fact, we show by arguments of Coret and Boffa that proves a weak form of Stratified Collection, and that is a conservative extension of for stratified sentences, from which we deduce that proves a strong stratified version of ; we analyse the known equiconsistency of with the simple theory of types and give Lake's proof that an instance of Mathematical Induction is unprovable in Mac Lane's system; we study a simple set theoretic assertion—namely that there exists an infinite set of infinite sets, no two of which have the same cardinal—and use it to establish the failure of the full schema of Stratified Collection in ; and we determine the point of failure of various other schemata in . The paper closes with some philosophical remarks. (shrink)

Il saggio propone una lettura del materialismo speculativo di Ernst Bloch interpretandolo come “scienza della speranza”. La filosofia politica di Bloch viene presentata come un pensiero dell’emancipazione determinato da un’antropologia e un’ontologia sviluppate attorno alle categorie di “anticipazione” e di “materia”, entrambe indicizzate dalla logica della “possibilità oggettivo-reale”. Infine, il saggio propone di considerare il contributo filosofico-politico di Bloch come un pensiero marxista aperto a processi di soggettivazione plurale che rappresentano concrete possibilità di emancipazione nel quadro della dimensione globale della (...) formazione sociale capitalistica. (shrink)

Pāṇini's fourth century BC Sanskrit grammar uses rewrite rules utilizing an explicit formal language defined through a semi-formal metalanguage. The grammar is generative, meaning that it is capable of expressing a potential infinity of well-formed Sanskrit sentences starting from a finite symbolic inventory. The grammar's operational rules involve extensive use of auxiliary markers, in the form of Sanskrit phonemes, to control grammatical derivations. Pāṇini's rules often utilize a generic context-sensitive format to identify terms used in replacement, modification or deletion (...) operations. The context-sensitive rule format is itself defined using Pāṇini's more general method of auxiliary markers, the latter used to define many dozens of linguistic categories and rules controlling derivations of Sanskrit sentences through the manipulation of ‘non-terminal’ and ‘terminal’ symbols. This technique for controlling formal derivations was rediscovered by Emil Post in the 1920s and later shown by him to be ca... (shrink)

continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...) has been a defense against horror and madness. Kant's prohibition on speculative metaphysics such as dogmatic metaphysics and transcendental realism, on thinking beyond the imposition of transcendental and moral constraints, has been challenged by numerous figures proceeding him. One of the more interesting critiques of Kant comes from the mad black Deleuzianism of Nick Land stating, “Kant’s critical philosophy is the most elaborate fit of panic in the history of the Earth.” And while Alain Badiou would certainly be opposed to the libidinal investments of Land's Deleuzo-Guattarian thought, he is likewise critical of Kant's normative thought-bureaucracies: Kant is the one author for whom I cannot feel any kinship. Everything in him exasperates me, above all his legalism—always asking Quid Juris? Or ‘Haven’t you crossed the limit?’—combined, as in today’s United States, with a religiosity that is all the more dismal in that it is both omnipresent and vague. The critical machinery he set up has enduringly poisoned philosophy, while giving great succour to the academy, which loves nothing more than to rap the knuckles of the overambitious [….] That is how I understand the truth of Monique David-Menard’s reflections on the properly psychotic origins of Kantianism. I am persuaded that the whole of the critical enterprise is set up to to shield against the tempting symptom represented by the seer Swedenborg, or against ‘diseases of the head’, as Kant puts it. An entire nexus of the limits of reason and philosophy are set up here, namely that the critical philosophy not only defends thought from madness, philosophy from madness, and philosophy from itself, but that philosophy following the advent of the critical enterprise philosophy becomes auto-vampiric; feeding on itself to support the academy. Following Francois Laruelle's non-philosophical indictment of philosophy, we could go one step further and say that philosophy operates on the material of what is philosophizable and not the material of the external world. [1] Beyond this, the Kantian scheme of nestling human thinking between our limited empirical powers and transcendental guarantees of categorical coherence, forms of thinking which stretch beyond either appear illegitimate, thereby liquefying both pre-critical metaphysics and the ravings of the mad in the same critical acid. In rejecting the Kantian apparatus we are left with two entities – an unsure relation of thought to reality where thought is susceptible to internal and external breakdown and a reality with an uncertain sense of stability. These two strands will be pursued, against the sane-seal of post-Kantian philosophy by engaging the work of weird fiction authors H.P. Lovecraft and Thomas Ligotti. The absolute inhumanism of the formers universe will be used to describe a Shoggothic Materialism while the dream worlds of the latter will articulate the mad speculation of a Ventriloquil Idealism. But first we must address the relation of philosophy to madness as well as philosophy to weird fiction. /1/ – Philosophy and Madness There is nothing that the madness of men invents which is not either nature made manifest or nature restored. Michel Foucault. Madness and Civilization. The moment I doubt whether an event that I recall actually took place, I bring the suspicion of madness upon myself: unless I am uncertain as to whether it was not a mere dream. Arthur Schopenhauer. The World as Will and Idea, Vol. 3. Madness is commonly thought of as moving through several well known cultural-historical shifts from madness as a demonic or otherwise theological force, to rationalization, to medicalization psychiatric and otherwise. Foucault's Madness and Civilization is well known for orientating madness as a form of exclusionary social control which operated by demarcating madness from reason. Yet Foucault points to the possibility of madness as the necessity of nature at least prior to the crushing weight of the church. Kant’s philosophy as a response to madness is grounded by his humanizing of madness itself. As Adrian Johnston points out in the early pages of Time Driven pre-Kantian madness meant humans were seized by demonic or angelic forces whereas Kantian madness became one of being too human. Madness becomes internalized, the external demonic forces become flaws of the individual mind. Foucault argues that, while madness is de-demonized it is also dehumanized during the Renaissance, as madmen become creatures neither diabolic nor totally human reduced to the zero degree of humanity. It is immediately clear why for Kant, speculative metaphysics must be curbed – with the problem of internal madness and without the external safeguards of transcendental conditions, there is nothing to formally separate the speculative capacities for metaphysical diagnosis from the mad ramblings of the insane mind – both equally fall outside the realm of practicality and quotidian experience. David-Menard's work is particularly useful in diagnosing the relation of thought and madness in Kant's texts. David-Menard argues that in Kant's relatively unknown “An Essay on the Maladies of the Mind” as well as his later discussion of the Seer of Swedenborg, that Kant formulates madness primarily in terms of sensory upheaval or other hallucinatory theaters. She writes: “madness is an organization of thought. It is made possible by the ambiguity of the normal relation between the imaginary and the perceived, whether this pertains to the order of sensation or to the relations between our ideas” Kant's fascination with the Seer forces Kant between the pincers of “aesthetic reconciliation” – namely melancholic withdrawal – and “a philosophical invention” – namely the critical project. Deleuze and Guattari's schizoanalysis is a combination and reversal of Kant's split, where an aesthetic over engagement with the world entails prolific conceptual invention. Their embrace of madness, however, is of course itself conceptual despite all their rhizomatic maneuvers. Though they move with the energy of madness, Deleuze and Guattari save the capacity of thought from the fangs of insanity by imbuing materiality itself with the capacity for thought. Or, as Ray Brassier puts it, “Deleuze insists, it is necessary to absolutize the immanence of this world in such a way as to dissolve the transcendent disjunction between things as we know them and as they are in themselves”. That is, whereas Kant relied on the faculty of judgment to divide representation from objectivity Deleuze attempts to flatten the whole economy beneath the juggernaut of ontological univocity. Speculation, as a particularly useful form of madness, might fall close to Deleuze and Guattari’s shaping of philosophy into a concept producing machine but is different in that it is potentially self destructive – less reliant on the stability of its own concepts and more adherent to exposing a particular horrifying swath of reality. Speculative madness is always a potential disaster in that it acknowledges little more than its own speculative power with the hope that the gibbering of at least a handful of hysterical brains will be useful. Pre-critical metaphysics amounts to madness, though this may be because the world itself is mad while new attempts at speculative metaphysics, at post-Kantian pre-critical metaphysics, are well aware of our own madness. Without the sobriety of the principle of sufficient reason we have a world of neon madness: “we would have to conceive what our life would be if all the movements of the earth, all the noises of the earth, all the smells, the tastes, all the light – of the earth and elsewhere, came to us in a moment, in an instant – like an atrocious screaming tumult of things”. Speculative thought may be participatory in the screaming tumult of the world or, worse yet, may produce its spectral double. Against theology or reason or simply commonsense, the speculative becomes heretical. Speculation, as the cognitive extension of the horrorific sublime should be met with melancholic detachment. Whereas Kant's theoretical invention, or productivity of thought, is self -sabotaging, since the advent of the critical project is a productivity of thought which then delimits the engine of thought at large either in dogmatic gestures or non-systematizable empirical wondrousness. The former is celebrated by the fiction of Thomas Ligotti whereas the latter is espoused by the tales of H.P. Lovecraft. /2/ – Weird Fiction and Philosophy. Supernatural horror, in all its eerie constructions, enables a reader to taste treats inconsistent with his personal welfare. Thomas Ligotti Songs of a Dead Dreamer. I choose weird stories because they suit my inclination best—one of my strongest and most persistent wishes being to achieve,momentarily, the illusion of some strange suspension or violation of the galling limitations of time, space, and natural law which forever imprison us and frustrate our curiosity about the infinite cosmic spaces beyond the radius of our sight and analysis H.P. Lovecraft. “Notes on Writing Weird Fiction” Lovecraft states that his creation of a story is to suspend natural law yet, at the same time, he indexes the tenuousness of such laws, suggesting the vast possibilities of the cosmic. The tension that Lovecraft sets up between his own fictions and the universe or nature is reproduced within his fictions in the common theme of the unreliable narrator; unreliable precisely because they are either mad or what they have witnessed questions the bounds of material reality. In “The Call of Cthulhu” Lovecraft writes: The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the deadly light into the peace and safety of a new dark age. Despite Lovecraft's invocations of illusion, he is not claiming that his fantastic creations such as the Old Ones are supernatural but, following Joshi, are only ever supernormal. One can immediately see that instead of nullifying realism Lovecraft in fact opens up the real to an unbearable degree. In various letters and non-fictional statements Lovecraft espoused strictly materialist tenets, ones which he borrowed from Hugh Elliot namely the uniformity of law, the denial of teleology and the denial of non-material existence. Lovecraft seeks to explore the possibilities of such a universe by piling horror upon horror until the fragile brain which attempts to grasp it fractures. This may be why philosophy has largely ignored weird fiction – while Deleuze and Guattari mark the turn towards weird fiction and Lovecraft in particular, with the precursors to speculative realism as well as contemporary related thinkers have begun to view Lovecraft as making philosophical contributions. Lovecraft's own relation to philosophy is largely critical while celebrating Nietzsche and Schopenhauer. This relationship of Lovecraft to philosophy and philosophy to Lovecraft is coupled with Lovecraft's habit of mercilessly destroying the philosopher and the figure of the academic more generally in his work, a destruction which is both an epistemological destruction and an ontological destruction. Thomas Ligotti's weird fiction which he has designated as a kind of “confrontational escapism” might be best described in the following quote from one of his shortstories, “The human phenomenon is but the sum of densely coiled layers of illusion each of which winds itself on the supreme insanity. That there are persons of any kind when all there can be is mindless mirrors laughing and screaming as they parade about in an endless dream”. Whereas Lovecraft's weirdness draws predominantly from the abyssal depths of the uncharted universe, Ligotti's existential horror focuses on the awful proliferation of meaningless surfaces that is, the banal and every day function of representation. In an interview, Ligotti states: We don't even know what the world is like except through our sense organs, which are provably inadequate. It's no less the case with our brains. Our whole lives are motored along by forces we cannot know and perceptions that are faulty. We sometimes hear people say that they're not feeling themselves. Well, who or what do they feel like then? This is not to say that Ligotti sees nothing beneath the surface but that there is only darkness or blackness behind it, whether that surface is on the cosmological level or the personal. By addressing the implicit and explicit philosophical issues in Ligotti's work we will see that his nightmarish take on reality is a form of malevolent idealism, an idealism which is grounded in a real, albeit dark and obscure materiality. If Ligotti's horrors ultimately circle around mad perceptions which degrade the subject, it takes aim at the vast majority of the focus of continental philosophy. While Lovecraft's acidic materialism clearly assaults any romantic concept of being from the outside, Ligotti attacks consciousness from the inside: Just a little doubt slipped into the mind, a little trickle of suspicion in the bloodstream, and all those eyes of ours, one by one, open up to the world and see its horror [...] Not even the solar brilliance of a summer day will harbor you from horror. For horror eats the light and digests it into darkness. Clearly, the weird fiction of Lovecraft and Ligotti amount to a anti-anthrocentric onslaught against the ramparts of correlationist continental philosophy. /3/ – Shoggothic Materialism or the Formless Formless protoplasm able to mock and reflect all forms and organs and processes—viscous agglutinations of bubbling cells—rubbery fifteen-foot spheroids infinitely plastic and ductile—slaves of suggestion, builders of cities—more and more sullen, more and more intelligent, more and more amphibious, more and more imitative—Great God! What madness made even those blasphemous Old Ones willing to use and to carve such things? H.P. Lovecraft. “At the Mountains of Madness” On the other hand, affirming that the universe resembles nothing and is only formless amounts to saying that the universe is something like a spider or spit. Georges Bataille. “Formless”. The Shoggoths feature most prominently in H.P. Lovecraft's shortstory “At the Mountains of Madness” where they are described in the following manner: It was a terrible, indescribable thing vaster than any subway train – a shapeless congeries of protoplasmic bubbles, faintly self -luminous, and with myriads of temporary eyes forming and un-forming as pustules of greenish light all over the tunnel-filling front that bore down upon us, crushing the frantic penguins and slithering over the glistening floor that it and its kind had swept so evilly free of all litter. The term is a litmus test for materialism itself as the Shoggoth is an amorphous creature. The Shoggoths were living digging machines bio engineered by the Elder Things, and their protoplasmic bodies being formed into various tools by their hypnotic powers. The Shoggoths eventually became self aware and rose up against their masters in an ultimately failed rebellion. After the Elder Ones retreated into the oceans leaving the Shoggoths to roam the frozen wastes of the Antarctic. The onto-genesis of the Shoggoths and their gross materiality, index the horrifyingly deep time of the earth a concept near and dear to Lovecraft's formulation of horror as well as the fear of intelligences far beyond, and far before, the ascent of humankind on earth and elsewhere. The sickly amorphous nature of the Shoggoths invade materialism at large, where while materiality is unmistakably real ie not discursive, psychological, or otherwise overly subjectivist, it questions the relation of materialism to life. As Eugene Thacker writes: The Shoggoths or Elder Things do not even share the same reality with the human beings who encounter them—and yet this encounter takes place, though in a strange no-place that is neither quite that of the phenomenal world of the human subject or the noumenal world of an external reality. Amorphous yet definitively material beings are a constant in Lovecraft's tales. In his tale “The Dream-Quest of Unknown Kadatth” Lovecraft describes Azathoth as, “that shocking final peril which gibbers unmentionably outside the ordered universe,” that, “last amorphous blight of nethermost confusion which blashphemes and bubbles at the centre of all infinity,” who, “gnaws hungrily in inconceivable, unlighted chambers beyond time”. Azathoth's name may have multiple origins but the most striking is the alchemy term azoth which is both a cohesive agent and a acidic creation pointing back to the generative and the decayed. The indistinction of generation and degradation materially mirrors the blur between the natural and the unnatural as well as life and non-life. Lovecraft speaks of the tension between the natural and the unnatural is his short story “The Unnameable.” He writes, “if the psychic emanations of human creatures be grotesque distortions, what coherent representation could express or portray so gibbous and infamous a nebulousity as the spectre of a malign, chaotic perversion, itself a morbid blasphemy against Nature?”. Lovecraft explores exactly the tension outlined at the beginning of this chapter, between life and thought. At the end of his short tale Lovecraft compounds the problem as the unnameable is described as “a gelatin—a slime—yet it had shapes, a thousand shapes of horror beyond all memory”. Deleuze suggests that becoming-animal is operative throughout Lovecraft's work, where narrators feel themselves reeling at their becoming non-human or of being the anomalous or of becoming atomized. Following Eugene Thacker however, it may be far more accurate to say that Lovecraft's tales exhibit not a becoming-animal but a becoming-creature. Where the monstrous breaks the purportedly fixed laws of nature, the creature is far more ontologically ambiguous. The nameless thing is an altogether different horizon for thought. The creature is either less than animal or more than animal – its becoming is too strange for animal categories and indexes the slow march of thought towards the bizarre. This strangeness is, as aways, some indefinite swirling in the category of immanence and becoming. Bataille begins “The Labyrinth” with the assertion that being, to continue to be, is becoming. More becoming means more being hence the assertion that Bataille's barking dog is more than the sponge. This would mean that the Shoggotth is altogether too much being, too much material in the materialism. Bataille suggests that there is an immanence between the eater and the eaten, across the species and never within them. That is, despite the chaotic storm of immanence there must remain some capacity to distinguish the gradients of becoming without reliance upon, or at least total dependence upon, the powers of intellection to parse the universe into recognizable bits, properly digestible factoids. That is, if we undo Deleuze's aforementioned valorization of sense which, for his variation of materialism, performed the work of the transcendental, but refuse to reinstate Kant's transcendental disjunction between thing and appearance, then it must be a quality of becoming-as-being itself which can account for the discernible nature of things by sense. In an interview with Peter Gratton, Jane Bennett formulates the problem thusly: What is this strange systematicity proper to a world of Becoming? What, for example, initiates this congealing that will undo itself? Is it possible to identify phases within this formativity, plateaus of differentiation? If so, do the phases/plateaus follow a temporal sequence? Or, does the process of formation inside Becoming require us to theorize a non-chronological kind of time? I think that your student’s question: “How can we account for something like iterable structures in an assemblage theory?” is exactly the right question. Philosophy has erred too far on the side of the subject in the subject-object relation and has furthermore, lost the very weirdness of the non-human. Beyond this, the madness of thought need not override. /4/ - Ventriloquial Idealism or the Externality of Thought My aim is the opposite of Lovecraft's. He had an appreciation for natural scenery on earth and wanted to reach beyond the visible in the universe. I have no appreciation for natural scenery and want the objective universe to be a reflection of a character. Thomas Ligotti. “Devotees of Decay and Desolation.” Unless life is a dream, nothing makes sense. For as a reality, it is a rank failure [….] Horror is more real than we are. Thomas Ligotti. “Professor Nobody's Little Lectures on Supernatural Horror”. Thomas Ligotti's tales are rife with mannequins, puppets, and other brainless entities which of replace the valorized subject of philosophy – that of the free thinking human being. His tales such as “The Dream of the Manikin” aim to destroy the rootedness of consciousness. James Trafford has connected the anti-egoism of Ligotti to Thomas Metzinger – where the self is at best an illusion and we plead desperately for someone else to acknowledge that we are real. Trafford has stated it thus, “Life is played out as an inescapable puppet show, an endless dream in which the puppets are generally unaware that they are trapped within a mesmeric dance of whose mechanisms they know nothing and over which they have no control”. An absolute materialism, for Ligotti, implies an alienation of the idea which leads to a ventriloquil idealism. As Ligotti notes in an interview, “the fiasco and nightmare of existence, the particular fiasco and nightmare of human existence, the sense that people are puppets of powers they cannot comprehend, etc.” And then further elaborates that,“[a]ssuming that anything has to exist, my perfect world would be one in which everyone has experienced the annulment of his or her ego. That is, our consciousness of ourselves as unique individuals would entirely disappear”. The externality of the idea leads to the unfortunate consequence of consciousness eating at itself through horror which, for Ligotti, is more real than reality and goes beyond horror-as-affect. Beyond this, taking together with the unreality of life and the ventriloquizing of subjectivity, Ligotti's thought becomes an idealism in which thought itself is alien and ultimately horrifying. The role of human thought and the relation of non-relation of horror to thought is not completely clear in Ligotti's The Conspiracy Against the Human Race. Ligotti argues in his The Conspiracy Against the Human Race,that the advent of thought is a mistake of nature and that horror is being in the sense that horror results from knowing too much. Yet, at the same time, Ligotti seems to suggest that thought separates us from nature whereas, for Lovecraft, thought is far less privileged – mind is just another manifestation of the vital principal, it is just another materialization of energy. In his brilliant “Prospects for Post-Copernican Dogmatism” Iain Grant rallies against the negative definition of dogmatism and the transcendental, and suggests that negatively defining both over-focuses on conditions of access and subjectivism at the expense of the real or nature. With Schelling, who is Grant's champion against the subjectivist bastions of both Fichte and Kant, Ligotti's idealism could be taken as a transcendental realism following from an ontological realism. Yet the transcendental status of Ligotti's thought move towards a treatment of the transcendental which may threaten to leave beyond its realist ground. Ligotti states: Belief in the supernatural is only superstition. That said, a sense of the supernatural, as Conrad evidenced in Heart of Darkness, must be admitted if one's inclination is to go to the limits of horror. It is the sense of what should not be- the sense of being ravaged by the impossible. Phenomenally speaking, the super-natural may be regarded as the metaphysical counterpart of insanity, a transcendental correlative of a mind that has been driven mad. Again, Ligotti equates madness with thought, qualifying both as supernatural while remaining less emphatic about the metaphysical dimensions of horror. The question becomes one of how exactly the hallucinatory realm of the ideal relates to the black churning matter of Lovecraft's chaos of elementary particles. In his tale “I Have a Special Plan for This World” Ligotti formulates thus: A: There is no grand scheme of things. B: If there were a grand scheme of things, the fact – the fact – that we are not equipped to perceive it, either by natural or supernatural means, is a nightmarish obscenity. C: The very notion of a grand scheme of things is a nightmarish obscenity. Here Ligotti is not discounting metaphysics but implying that if it does exist the fact that we are phenomenologically ill-equipped to perceive that it is nightmarish. For Ligotti, nightmare and horror occur within the circuit of consciousness whereas for Lovecraft the relation between reality and mind is less productive on the side of mind. It is easier to ascertain how the Kantian philosophy is a defense against the diseases of the head as Kant armors his critical enterprise from too much of the world and too much of the mind. The weird fiction of both Lovecraft and Ligotti demonstrates that there is too much of both feeding into one another in a way that corrodes the Kantian schema throughly, breaking it down into a dead but still ontologically potentiated nigredo. The haunting, terrifying fact of Ligotti's idealism is that the transcendental motion which brought thought to matter, while throughly material and naturalized, brings with it the horror that thought cannot be undone without ending the material that bears it either locally or completely. Thought comes from an elsewhere and an elsewhen being-in-thought. The unthinkable outside thought is as maddening as the unthought engine of thought itself within thought which doesn't exist except for the mind, the rotting décor of the brain. /5/ - Hyperstitional Transcendental Paranoia or Self -Expelled Thought Weird fiction has been given some direct treatment in philosophy in the mad black Deleuzianism of Nick Land. Nick Land along with others in the 1990s created the Cyber Culture Research Unit as well as the research group Hyperstition. The now defunct hyperstitional website, an outgrowth of the Cyber Culture Research Unit, defined hyperstition in the following fourfold: 1-Element of effective culture that makes itself real. 2-Fictional quantity functional as a time-traveling device. 3-Coincidence intensifier. 4-Call to the Old Ones. The distinctively Lovecraftian character of hyperstition is hard to miss as is its Deleuzo-Guattarian roots. In the opening pages of A Thousand Plateaus Deleuze and Guattari write, “We have been criticized for over-quoting literary authors. But when one writes, the only question is which other machine the literary machine can be plugged into”. The indisinction of literature and philosophy mirrors the mess of being and knowing as post-correlationist philosophy, where philosophy tries to make itself real where literature, especially the weird, aims itself at the brain-circuit of horror. The texts of both Lovecraft and Ligotti work through horror as epistemological plasticity meeting with proximity as well as the deep time of Lovecraft and the glacially slow time of paranoia in Ligotti. Against Deleuze, and following Brassier, we cannot allow the time of consciousness, the Bergsonian time of the duree, to override natural time, but instead acknowledge that it is an unfortunate fact of existence as a thinking being. Horror-time, the time of consciousness, with all its punctuated moments and drawn out terrors, cannot compare to the deep time of non-existence both in the unreachable past and the unknown future. The crystalline cogs of Kant's account of experience as the leading light for the possibility of metaphysics must be throughly obliterated. His gloss of experience in Prolegomena to any Future Metaphysics could not be more sterile: Experience consists of intuitions, which belong to the sensibility, and of judgments, which are entirely a work of the understanding. But the judgments which the understanding makes entirely out of sensuous intuitions are far from being judgments of experience. For in the one case the judgment connects only the perceptions as they are given in sensuous intuition [....] Experience consists in the synthetic connection of appearances in consciousness, so far as this connection is necessary. Here it is difficult to dismiss the queasiness that Kant's legalism induces upon sight for both Badiou and David-Menard. Kant's thought becomes, as Foucault says when reflecting on Sade's text in relation to nature, “the savage abolition of itself”. For Badiou, Kant's philosophy simply closes off too much of the outside, freezing the world of thought in an all too limited formalism. Critical philosophy is simply the systematized quarantine on future thinking, on thinking which would threaten the formalism which artificially grants thought its own coherency in the face of madness. Even the becoming-mad of Deleuze, while escaping the rumbling ground, makes grounds for itself, mad grounds but grounds which are thinkable in their affect. The field of effects allows for Deleuze's aesthetic and radical empiricism, in which effects and/or occasions make up the material of the world to be thought as a chaosmosis of simulacra. Given a critique of an empiricism of aesthetics, of the image, it may be difficult to justify an attack on Kantian formalism with the madness of literature, which does not aim to make itself real but which we may attempt to make real. That is, how do Lovecraft's and Ligotti's materials, as materials for philosophy to work on, differ from either the operative formalisms of Kant or the implicitly formalized images of Deleuzian empiricism? It is simply that such texts do not aim to make themselves real, and make claims to the real which are more alien to us than familiar, which is why their horror is immediately more trustworthy. This is the madness which Blanchot discusses in The Infinite Conversation through Cervantes and his knight – the madness of book-life, of the perverse unity of literature and life a discussion which culminates in the discussion of one of the weird's masters, that of Kafka. The text is the knowing of madness, since madness, in its moment of becoming-more-mad, cannot be frozen in place but by the solidifications of externalizing production. This is why Foucault ends his famous study with works of art. Furthermore extilligence, the ability to export the products of our maligned brains, is the companion of the attempts to export, or discover the possibility of intelligences outside of our heads, in order for philosophy to survive the solar catastrophe. To borrow again from Deleuze, writing is inseparable from becoming. The mistake is to believe that madness is reabsorbed by extilligence, by great works, or that it could be exorcised by the expelling of thought into the inorganic or differently organic. Going out of our heads does not guarantee we will no longer mean we cannot still go out of our minds. This is simply because of the outside, of matter, or force, or energy, or thing-in-itself, or Schopenhauerian Will. In Lovecraft’s “The Music of Erich Zahn” an “impoverished student of metaphysics” becomes intrigued by strange viol music coming from above his room. After meeting the musician the student discovers that each night he plays frantic music at a window in order to keep some horridness at bay, some “impenetrable darkness with chaos and pandemonium”. The aesthetic defenses provided by the well trained brain can bear the hex of matter for so long, the specter of unalterability within it which too many minds obliterate, collapsing everything before the thought of thought as thinkable or at least noetically mutable on our own terms. Transcendental paranoia is the concurrent nightmare and promise of Paul Humphrey's work, of being literally out of our minds. It is the gothic counterpart of thinking non-conceptually but also of thinking never belonging to any instance of purportedly solid being. As Bataille stated, “At the boundary of that which escapes cohesion, he who reflects within cohesion realizes there is no longer any room for him” Thought is immaterial only to the degree that it is inhuman, it is a power that tries, always with failure, to ascertain its own genesis. Philosophy, if it can truly return to the great outdoors, if it can leave behind the dead loop of the human skull, must recognize not only the non-priority of human thought, but that thought never belongs to the brain that thinks it, thought comes from somewhere else. To return to the train image from the beginning “a locomotive rolling on the surface of the earth is the image of continuous metamorphosis” this is the problem of thought, and of thinking thought, of being no longer able to isolate thought, with only a thought-formed structure. [1] One of the central tenets of Francois Laruelle's non-philosophy is that philosophy has traditionally operated on material already presupposed as thinkable instead of trying to think the real in itself. Philosophy, according to Laruelle, remains fixated on transcendental synthesis which shatters immanence into an empirical datum and an a prori factum which are then fused by a third thing such as the ego. For a critical account of Laruelle's non-philosophy see Ray Brassier's Nihil Unbound. (shrink)

: Fodor was passionately unwilling to compromise. Of his several commitments, I focus here on informational atomism. Fodor staunchly rejected semantic holism for two conspiring reasons. He took it to threaten his commitment to the nomic character of psychological explanation. He also took it to pave the way towards relativism, which he found deeply offensive. In this paper, I reconstruct the strands of Fodor’s commitment to the computational version of the representational theory of mind that led him to informational atomism. (...) I take issue with three features of informational atomism. First, I argue that it deprives content from its expected causal role in psychological explanation. Secondly, I take issue with Fodor’s claim that only informational atomism can meet the requirements of the principle of compositionality. Finally, I argue that informational atomism yields a bloated or unwieldy category of nomic properties. Keywords: Informational Atomism; Representational Theory of Mind; Psychological Explanation; Principle of Compositionality; Jerry A. Fodor Fare i conti con l’atomismo informazionale: uno dei lasciti di Jerry Fodor Riassunto : Fodor è stato fortemente maldisposto al compromesso. Tra le molte cose di cui si è occupato, intendo qui concentrarmi sull’atomismo informazionale. Fodor ha coerentemente rifiutato l’olismo semantico per due ragioni convergenti. Lo vedeva come minaccia per il suo impegno verso il carattere nomico della spiegazione psicologica e come porta aperta verso il relativismo, cosa che considerava profondamente minacciosa. In questo lavoro, intendo riprendere le fila dell’impegno di Fodor verso la versione computazionale della teoria rappresentazionale della mente che lo ha portato all’atomismo informazionale, chiarendo tuttavia che non sono d’accordo con tre aspetti dell’atomismo informazionale. In primo luogo, mostrerò come questo sottragga al contenuto il suo ruolo causale nella spiegazione psicologica. In secondo luogo, non sono d’accordo con l’affermazione di Fodor per cui solo l’atomismo informazionale possa soddisfare i requisiti del principio di composizionalità. Illustrerò infine come l’atomismo informazionale ceda il passo a un insieme di proprietà nomiche ampio o difficile da gestire. Parole chiave: Atomismo informazionale; Teoria rappresentazionale della mente; Spiegazione psicologica; Principio di composizionalità; Jerry A. Fodor. (shrink)

The key word in the title is 'otherness', since this book aims to show how even Hegel, the master of dialectic, fails to adequately explain the phenomenon of otherness. Desmond claims that the common experience of difference can be thought of from four basic perspectives of which dialectic is one. Dialectic has advantages over two of them, yet the last category, the metaxological, is best able to account for the intentional infinity that human beings have paradoxically within the finite (...) boundaries of the self. The problem is to maintain the self while allowing its driving force, infinite desire, to be open to the world. At the same time, this desire for wholeness must not negate or consume the other. (shrink)

“To him who looks at the world rationally, the world looks rational in return. The relation is mutual.” This emblematic sentence illustrates Hegel's philosophy of history as a hermeneutics of history which, opposed to the apriorism explicitly rejected, searches for its “empirical” verification in trying to “accurately apprehend” history. The much-celebrated “end of history” is not so much an empirical assertion about historical reality as a methodological requirement for an interpretative strategy founded upon the logical category of “true” or “genuine (...) infinity”. (shrink)

This paper presents a taxonomy of divisibilism, a philosophical perspective advocating for the infinite divisibility of continua. The taxonomy is founded on various conceptualizations of indivisibles, enabling the identification of two types of divisibilism: ‘moderate’ and ‘strong’. The former denies indivisibles as constituent parts of magnitudes, whereas the latter rejects indivisibles as even intrinsic elements (such as limits or junctions) of magnitudes. The paper proceeds to demonstrate how Gregory of Rimini falls into the second category, utilizing geometry and non-entitism as (...) primary tools to dismiss the very possibility of the existence of indivisibles. Within the framework of this ‘strong divisibilism’, the paper also examines Gregory’s interpretation of mathematical items (e.g. points, lines, surfaces) against the backdrop of one of his main sources, that is, Augustine. Lastly, the paper delves into Gregory’s interpretation of the fundamental Aristotelian divisibilist claim, namely, that a continuum is infinitely divisible. It highlights how Gregory’s stance ultimately conflicts with Aristotelian premises, particularly concerning his assertion that the division of all continua is made into infinitely many actual parts. (shrink)

This study is the first work ever to interpret the Meditations as theodicy. I show that Descartes' attempt to define the role of God for man's cognitive fallibility in so far as God is the creator of man's nature, is a reiteration of an old Epicurean argument pointing out the incongruity between the existence of God and evil. The question of the nature and origin of error which Descartes addresses in the First Meditation is reformulated in the Fourth Meditation into (...) broader considerations about the nature and scope of human freedom. ;The point of gravity of my thesis is Descartes' conceptions of human freedom and divine liberty. Since the conception of human freedom is the reversal of the doctrine of divine liberty, I analyze the two conceptions as two sides of the same problem--the problem of man's relation to God, or the problem of the relation of finitude to Infinity. I show that Descartes' quest for Certitude--which runs parallel to his attempt to overcome the problem of an evil deity--can be reformulated into the problem of creation. I present the problem of error as the problem of evil, and the problem of human will I present as the problem of human freedom, and the search for Certitude I interpret as the vindication of God's goodness and omnipotence, that is, theodicy. ;There are several points which are essential for Cartesian metaphysics, and which, as I demonstrate, Descartes borrowed from St. Augustine: the doctrine of the eternal truths , the conception of human freedom, the theory of error and the explanation of the will's propensity towards error , and the account of human nature. It is my contention that as much as Descartes insisted on the timelessness of his philosophy, what he had to say on the relationship between God and man is a reflection of the 17th c. theological debates which were fought by the Augustinians and the Molinists and were expressed by Descartes in the language and categories created by St. Augustine. (shrink)

A theistic study which rejects negative and purely analogical theology. An historical review of the traditional categories applied to the divine nature shows that God's perfection includes an infinity of possibles whose actualization is a matter of free but controlled selection. The argument does not always appear precise or inevitable, but it is suggestive.--A. R.

Kierkegaard notwithstanding, Hegel's notion of the "good" and "bad" infinity was not unprecedented. On the contrary, this attempt to invest a "logical" category with ethical significances goes back to the very roots of the Western metaphysical tradition. In the Pythagorean doctrine of limit and the unlimited, limit was the arche of the good; the unlimited of evil. In the Pythagorean concept of number as an ens, limit and the unlimited attained ontological status. And since number constituted the determinate character (...) of all things, the Pythagorean peras and apeiron was a logos doctrine, the rational principle of the universe. Thereby Pythagoreanism marked a great advance over the Ionian materialisms. (shrink)

In 1964, Jacques Derrida’s long essay “Violence and Metaphysics” opened a dialogue with Emmanuel Levinas that would not be interrupted until Derrida’srecent death. Published only three years after the appearance of Totality and Infinity and at a moment when Derrida’s own early texts were still in the course of elaboration, this text right away recognizes the legitimacy and the import of Levinas’s philosophical project. Derrida pays homage to the Levinasian attempt to interrogate the whole of the western philosophical tradition (...) beginning from its Greek origin — which should not be understood as an empirical place but as a system of categories and fundamental concepts, elaborated for the first time in Greece and structuring the entire philosophical discourse. According to Levinas, these concepts are dominated by “the supremacy of the One and the Same” making the long history of philosophy a history that takes place in the shadow of Parmenides, who would still command — all the more surely from afar — the phenomenology of Husserl and the ontology of Heidegger. The reservations that Derrida expresses in “Violence and Metaphysics” concern more Levinas’s discursive strategy than his intentions. He does not contest the desire to open philosophy to another origin than the Greek origin, no more than the necessity of making resonate in philosophical discourse the call of an alterity capable of contesting the supremacy of the One and the Same. His reservations are situated, rather, at the level of the strategy to follow in order to render this opening finally effective. (shrink)

The aim of this paper is to present and discuss main philosophical ideas concerning logic and mathematics of a significant but forgotten Polish philosopher Benedykt Bornstein. He received his doctoral degree with Kazimierz Twardowski but is not included into the Lvov–Warsaw School of Philosophy founded by the latter. His philosophical views were unique and quite different from the views of main representatives of Lvov–Warsaw School. We shall discuss Bornstein’s considerations on the philosophy of geometry, on the infinity, on the (...) foundations of set theory and his polemics with Stanisław Leśniewski as well as his conception of a geometrization of logic, of the categorial logic and of the mathematics of quality. (shrink)

Pour Aristote, sous le rapport de sa composition en parties, le continu est divisible mais sous le rapport de ses limites (point, ligne, surface et profondeur), le continu est indivisible. Walter Burley, comme ses contemporains, a commenté la coexistence problématique de la divisibilité et de l’indivisibilité dans la structure du continu. Bien plus, aux prises avec sa célèbre polémique contre son adversaire Guillaume d’Ockham à propos de l’ontologie de la catégorie de quantité, il admet une structure du continu originale qui (...) semble contenir à la fois des intervalles ou parties divisibles et des points ou indivisibles. (shrink)

: ‘Alā’ al-Dawla al-Simnānī (d. 736/1336) was a Kubrawī sheikh lived in Simnān one hundred years after Ibn al-Arabī (d. 638/1240). He authored around ninety works in Arabic and Persian on various fields within Sūfism, raised many disciples. His contribution to the sūfī tradition mainly come to forefront regarding problems like unity, latāif (subtle organs), rijāl al-ghaib (men of the unseen), wāqia (dream-like mystical experiences) and tajallī (manifestation). Simnānī’s understanding of the unity influenced subsequent sūfī’s and specifically Ahmad Sirhindī (d. (...) 1034/1624) and his sheikh Bāqībillah’s (d. 1012/1603) views of the unity overlap with Simnānī’s one. In Maktūbāt, Sirhindī who developed the idea of unity of the seen against the unity of the existence expresses that his understanding of being is the same with Simnānī’s one. Simnānī is also known as the first critic of Ibn al-Arabī’s conception of the unity among sūfī’s. Such that, whenever his name is mentioned the first thing comes to one’s mind has been his criticism against Ibn al-Arabī. However, his criticism against Ibn al-Arabī was not studied as a whole looking at his ouvre. Studying Simnānī’s works, it is seen that his criticism is concentrated on two main problems. First is Ibn al-Arabī’s employing the concept wujūd al-mutlaq (absolute being) for God. He maintains that it is not convenient to use this concept for al-Haq. His second criticism is against a sentence mentioned in al-Futūhāt: “سبحان من أظهر الأشياء وهو عينها”. In this article, causes for Simnānī’s critiques will be discussed and both sūfī’s conceptions of wujūd al-mutlaq and ‘ayn (quintessence) will be studied.Summary: One of the famous names in the Kubrawī tradition, ‘Alā’ al-Dawla al-Simnānī is a sheikh who lived in the city of Simnān in the contemporary Iran between 659-736/1261-1336. In his youth, he served in the service of Arghūn Khan (r. 1284-1291) in the Īlkhānid Palace; and later, after a spiritual experience, he left the palace and turned to a Ṣūfī life. For a certain period, he continued worshipping and riyādhat (spiritual fight against the evil commanding self) on his own, and looked for a guide convenient to his character. Eventually, he became the disciple of the Kubrawī sheikh in Baghdad, Nūr al-Dīn ʿAbd al-Raḥmān Isfarāyīnī (d. 717/1317), and obtained ijāzah (permission) for irshād (guidance). After that, with the instruction of his sheikh, he went back to Simnān; and spent rest of his life with guiding his disciples and writing scholarly works. He authored around ninety works in Arabic and Persian on various fields within Sūfism. His contribution to the sūfī tradition mainly comes to forefront regarding problems like unity, latāif, rijāl al-ghaib, wāqia and tajallī; and influenced subsequent sūfī’s. Simnani’s influences can best be seen on the founder of the Mujaddidiyya branch of Naqshbandiyya, Ahmad Sirhindī (d. 1034/1624), and Sirhindī’s sheikh Bāqībillah (d. 1012/1603). In a letter Bāqībillah wrote to Sirhindī, he mentions certain differences between Simnānī’s understanding of unity and unity of the existence by stating that Simnānī’s path is not that of unity of the existence, and that his shuhūd (seen) is the most perfect shuhūd. Also in the Maktūbāt, Sirhindī expresses that his understanding of being is the same with that of Simnānī’s. Simnānī is also known as the first critic of Ibn al-Arabī’s conception of being and unity among sūfī’s. It would not be incorrect to say that he is more famous for this critique so much so that whenever his name is mentioned the first thing comes to one’s mind has been his criticism against Ibn al-Arabī. The main reason for this is that a letter Simnānī wrote to one of the followers of Ibn al-Arabī, ʿAbd al-Razzāq al-Kāshānī (d. 736/1335) in which Simnānī criticizes Ibn al-Arabī’s conception of unity, was included in the famous work of Abd al-Raḥmān Jāmī (d. 898/1492), Nafakhāt al-uns. This letter’s presence in the Nafakhāt played a vital role in its publicity. For this reason, it can be said that Nafakhāt made Simnānī famous. Yet, it should also be said that the fame stemming from Nafakhāt is incomplete and it is just about one aspect of Simnānī, a scholar who authored dozens of books on the Sūfism. Moreover, it is not correct to defend that Simnānī’s statements in that letter reflects a full picture of his opinion about Ibn al-Arabī. Hence, to have a better understanding of his criticism and thoughts about Ibn al-Arabī, one should explore other works of Simnānī as well. Studying Simnānī’s works, it is seen that his criticism is concentrated on two main problems. First is Ibn al-Arabī’s employing the concept wujūd al-mutlaq for God. His second criticism is against a sentence mentioned in al-Futūhāt: “سبحان من أظهر الأشياء وهو عينها”. To understand the first criticism, one needs to know the meaning both sūfī’s attribute to the concept of wujūd al-mutlaq; and for the second the meaning they attribute to the concept of ‘ayn. First, it should be known that Ibn al-Arabī did not think of being as a form category the members of which are beings. To the contrary, he uses wujūd exclusively for the Eternal, and refrains from using the concept of wujūd for the creation; and calls them mawjūd. In other words, Ibn al-Arabī differentiates between being and existence; and limits the concept of being only for the al-Haqq. Ibn al-Arabī states this view repeatedly in statements such as “al-Haqq (the Truth) is being; things, however, are attributes of being.” What Ibn al-Arabī means by wujūd al-mutlaq is al-Haqq who is wajib al-wujūd (the Necessary Being) and free from all restrictions. Thus, in a certain sense wujūd al-mutlaq means wajib al-wujūd. By writing that “Wujūd al-Haqq is the essence of wajib al-wujūd who is qualified with the perfect attributes of eternity and infinity. Absolute Being is the actions emanating from these attributes. Wujūd al-Muqayyad (the Limited Being) is the outcome that comes into existence as a result of these actions”, Simnānī explicitly states that for him Absolute Being is the actions of al-Haqq. What one can understand from the statements of both sūfī’s is that while by wujūd al-mutlaq Ibn al-Arabī refers to wajib al-wujūd (i.e. the essence of al-Haqq), for the same term Simnānī refers to actions of al-Haqq. Since in criticizing Ibn al-Arabī, Simnānī takes into account his own definition of the term Wujūd al-Mutlaq as the actions of al-Haqq, his criticisms are not valid. In fact, both exonerate al-Haqq from all the conditions. However, while Ibn al-Arabī chooses to verbalize the existence of God with the concept of “Absolute Being”, Simnānī only approves to express the existence of God with the concepts of wājib al-wujūd and al-Wujūd al-Haqq and differing from Ibn al-Arabī attributes the meaning of the actions of God to the concept of Absolute Being.Simnānī’s second critique against Ibn al-Arabī is related to this sentence: “سبحان من أظهر الأشياء وهو عينها”. An annotation that is written by Simnānī on a page which is out of his gloss on al-Futūhāt is highly harsh reads as follows: “O, followers of the most deviant leader! If you hear that one says that your sheikh is identical with his beard, put the claim that he is identical with his rejectomenta aside, should you accept this and tolerate him?” It is understood from these sentences that Simnānī considers the concept “al-ayn” as the essence of that thing. Though, the word “al-ayn” is one of the most multi-meaning word in the Arabic language and in Ibn al-Arabī’s works it is used with various meanings such as eye, the quintessence, spring, water source, tangible being of a thing, the essence of a thing and so on. The usage as “the essence of a thing” is very much common in Ibn al-Arabī’s works. It is interesting that while this word has so many meanings, Simnānī takes one meaning as base and blaspheme against Ibn al-Arabī. It is obvious that the main cause for Simnānī’s critique against Ibn al-Arabī in both problems is his attribution to the concepts different meanings than Ibn al-Arabī and then judging him in the context of his attributes. (shrink)

Il libro si articola in tre parti - nella prima l’autore ricostruisce che cosa intenda Marx quando usa i termini 'dialettica' e 'Hegel', cercando al contempo di individuare alcune fonti di questa interpretazione e di valutarne la correttezza che risulterà essere limitata; alla luce di questi chiarimenti, nella seconda parte viene ripreso il tema dell’alienazione che tanto ha pesato nell’analisi del rapporto tra i due pensatori; infine, nella terza parte si procede ad una contestualizzazione dell’uso di determinate categorie dialettiche nella (...) teoria del Capitale che rimandano alla loro possibile formulazione in una Logica astratta. Ne emerge un Marx profondamente dialettico, le cui affinità col metodo hegeliano sono maggiori di quanto lui stesso credesse. (shrink)

The essay aims to analyse the gradual historical process of the partial overlap, replacement and expansion of the theoretical paradigm of depression with respect to that of melancholy. The first part is devoted to analysing some of the central features of the multivalent thematizations of melancholy drawn up during modernity, also with relation to the spirit of capitalism (in its Weberian acceptation). This is followed by an overview of the birth of the modern category of depression, and the process that (...) during the twentieth century led to its transformation into a theoretical and nosological paradigm which in the end replaced that of melancholy. The second part is the attempt to draw up a Zeitdiagnose: the aim is to assess the ‘depressive’ psychosocial impact exercised by particular socio-economic mechanisms and cultural trends, with particular reference to what has been defined as the ‘new spirit of capitalism’, as well as the new forms of individualism and their paradoxical dynamics. In conclusion, I will form a bridge between the history of the two aforesaid paradigms and the contemporary psychosocial dynamics correlated to the phenomenon today interpreted as a ‘depression epidemic’. Il saggio mira ad analizzare il graduale processo storico di parziale sovrapposizione, sostituzione ed ampliamento del paradigma teoretico della depressione rispetto a quello della melanconia. La prima parte è dedicata ad analizzare alcuni dei tratti nevralgici delle polivalenti tematizzazioni della malinconia avvenuti nel corso della modernità, anche in relazione allo spirito del capitalismo (nella sua accezione weberiana). Segue una panoramica sulla nascita della categoria moderna di depressione, e del processo che nel corso del XX secolo l’ha condotta alla sua trasformazione in un paradigma teoretico e nosologico che ha infine sostituito quello della melanconia. La seconda parte rappresenta il tentativo di elaborare una Zeitdiagnose: l’obiettivo è valutare l’impatto psicosociale di natura ‘depressiva’ esercitato da particolari meccanismi socioeconomici e tendenze culturali, con particolare riferimento a ciò che è stato definito il «nuovo spirito del capitalismo», nonché alle nuove forme dell’individualismo e alle loro dinamiche paradossali. In conclusione viene gettato un ponte tra la storia dei due suddetti paradigmi e le dinamiche psicosociali contemporanee correlate al fenomeno oggi interpretato quale «epidemia depressiva». (shrink)

continent. 1.2 (2011): 78-91. This article consists of three parts. First, I will review the major themes of Quentin Meillassoux’s After Finitude . Since some of my readers will have read this book and others not, I will try to strike a balance between clear summary and fresh critique. Second, I discuss an unpublished book by Meillassoux unfamiliar to all readers of this article, except those scant few that may have gone digging in the microfilm archives of the École normale (...) supérieure. The book in question is Meillassoux’s revised doctoral dissertation L’Inexistence divine (or The Divine Inexistence ), with its seemingly bizarre vision of a God who does not yet exist but might exist in the future. Without literally accepting this view, I will claim that it is philosophically interesting in ways that even a hardened sceptic might be able to appreciate. Third and finally, I will speculate on the possible future of Meillassoux’s speculative materialism itself. And here I mean its future development not by Meillassoux, but by those readers who might be inspired by his book. Plato could never have predicted the emergence of Aristotle’s philosophy, despite the obvious debt of the latter to the former. Nor could Descartes have predicted Spinoza and Leibniz, nor Kant the German Idealists, and neither could Husserl in 1901 have foreseen the later emergence of Heidegger. How are the works of interesting philosophers transformed by later thinkers of comparable importance? While it may seem that there are countless ways to do this, I think there are only two basic ways in which this happens: you can radicalize your predecessors, or you can reverse them. I will close this article with a few words about these two methods, and try to imagine how Meillassoux might be radicalized or reversed by some future admirer. My view is that the more important thinkers are, the easier they are to radicalize or reverse. This helps explain why the great philosophers of the West have so often appeared in clusters, succeeding one another at relatively brief intervals during periods of especial ferment. 1. After Finitude After Finitude is unusually short for such an influential book of philosophy: running to just 178 pages in the original French, and an even more compact 128 pages in the English version, despite the introduction of roughly eight pages of new material for the English edition. Rather than summarizing Meillassoux’s book in the order he intended, I will focus on six points that strike me as the pillars of his debut book. Along the way, I will offer a few criticisms as well. The first pillar of the book is Meillassoux’s own term “correlationism.”1 Although he introduces this term as the name for an enemy, it is striking that Meillassoux remains impressed by correlationism much more than his fellow speculative realists are. This continued appreciation for his great enemy influences the shape of his own ontology. Is there a world outside our thinking of it, or does the world consist entirely in being thought? Traditionally, this dispute between realism and idealism has been dismissed in continental philosophy as a “pseudo-problem,” in a strategy pioneered by Husserl and extended by Heidegger. We cannot be realists, since following Kant we have no direct access to things-in-themselves. But neither are we idealists, since the human being is always already outside itself, aiming at objects in intentional experience, deeply engaged with practical implements, or stationed in some particular world-disclosing mood. The centuries-old dispute between realism and idealism is dissolved by saying that we cannot think either real or ideal in isolation from the other. There is neither human without world nor world without human, but only a primordial correlation or rapport between the two. This is what “correlationism” means: philosophy trapped in a permanent meditation on the human-world correlate, trying to find the best model of the correlate: is it language, intentionality, embodiment, or some other form of correlation between human and world? Among other problems, this generates some friction between philosophy and the literal meaning of science. When cosmologists say that the universe originated 13.5 billion years ago, they do not mean “13.5 billion years ago for us ,” but literally 13.5 billion years ago, well before conscious life existed, and thus at a time when there was no such thing as a correlate. Meillassoux also coins the term “ancestrality” (10) for the reality that predated the correlate, and later expands this term to “dia-chronicity,” (112) to refer to events occurring after the extinction of human beings no less than to those occurring before we existed. Up to this point, Meillassoux’s focus on ancestral entities existing prior to consciousness might seem like a straightforward realist who wants to unmask correlationism as just another form of idealism. Yet Meillassoux also admires the correlationist maneuver, which can obviously be traced back to Kant. Unlike a thinker such as Whitehead, Meillassoux feels no nostalgia for the pre-critical realism that came before Kant: “we cannot but be heirs of Kantianism,” he says (29). What impresses Meillassoux about correlationism is something both simple and familiar. If we attempt to think a tree outside thought, this is itself a thought . Any form of realism which thinks it can simply and directly address the world the way it is fails to escape the correlational circle, since the attempt to think something outside of thought is itself nothing other than a thought, and thereby collapses back into the very human-world correlate that it pretends to escape. For Meillassoux this step, suggested by Kant but first refined by the ensuing figures of German Idealism, marks decisive forward progress in the history of philosophy that must not be abolished. Any attempt to break free from the correlate must first acknowledge its mighty intellectual power. Realist though he may seem, Meillassoux’s works are filled with praise of such figures as Fichte and Hegel, not of so-called “naïve realists.” It is also the case that for Meillassoux, not all correlationisms are the same. The second pillar of his book is a distinction between various positions that I have termed “Meillassoux’s Spectrum,” though of course he is never so immodest as to name it after himself. He distinguishes between at least six different possible positions, and perhaps we could add even subtler variations if we wished. But in its simplest form, Meillassoux’s Spectrum allows for just four basic outlooks on the question of realism vs. anti-realism. Three of these are easy to understand, since we have already been discussing them. At one extreme is so-called “naïve realism,” which holds that a world exists outside the mind, and that we can know this world. Meillassoux rejects this naïve realism as having been overthrown by Kant’s critical philosophy. At the other extreme is subjective idealism, in which nothing exists outside the mind. For to think a dog outside thought immediately turns it into a thought, and therefore there cannot be anything outside; the very notion is meaningless. In between these two is what we have called correlationism. And here comes a crucial moment for Meillassoux, since he distinguishes between the two forms of “weak” and “strong” correlationism, and chooses the strong form as the launching pad for his own philosophy. Weak correlationism is easy to explain, since we all know it from the philosophy of Kant. The things-in-themselves can be thought but not known. They certainly must exist, since there cannot be appearances without something that appears. And we can think about them, which idealism holds to be impossible. They are simply unknowable due to the finitude of human thought. Strong correlationism is the new position introduced by Meillassoux (though he sees it at work in numerous twentieth century thinkers), midway between weak correlationism and subjective idealism. The major difference between the three positions is as follows. Weak correlationism says: “The things-in-themselves exist, but we cannot know them.” The subjective idealist says: “This is a contradiction in terms, since when we think the things-in-themselves, we already turn them into thoughts.” But the strong correlationist says: “Just because ‘things-in-themselves’ is a meaningless notion does not mean that they cannot exist. No one has ever traveled to the world-in-itself and come back to make a report on it. Thus, the fact that we cannot think things-in-themselves without contradiction does not prove that they do not exist anyway. There may be things-in-themselves, we simply are not capable of thinking them without contradiction form within the correlational circle.” This step is crucial for Meillassoux, since strong correlationism is the position he attempts to radicalize into his own new standpoint: speculative materialism. As I see it, this step of the argument fails. Strong correlationism cannot avoid collapsing into subjective idealism, since the statements of the strong correlationist are rendered meaningless from within. All three of the other positions in the Spectrum make perfectly good sense even for those who disagree with them. The naïve realist says that things-in-themselves exist and we can know them; the meaning of this statement is clear. The weak correlationist can say that things-in-themselves exist but lie forever beyond our grasp; this too makes perfect sense, even though the German Idealists try to show a contradiction at work here. We can also understand the claim of the subjective idealist that to think anything outside thought turns it into a thought, and that for this reason we cannot think the unthought. The strong correlationist, alone among the four, speaks nonsense . This person says “I cannot think the unthought without turning it into a thought, and yet the unthought might exist anyway.” But notice that the final phrase “the unthought might exist anyway” is fruitless for this purpose. For we have already heard that to think any unthought turns it into a thought. But now the strong correlationist wants to do two incompatible things simultaneously with this unthought. On the one hand, he neutralizes the unthought by showing that it instantly changes into just another thought. But on the other hand, he wants to appeal to the unthought as a haunting residue that might exist outside thought, thereby undercutting the absolute status of the human-world correlate found in idealism. But this is impossible. If you accept the argument that thinking the unthought turns it into a thought, you cannot also add “but maybe there is something outside that prevents this conversion from being absolutely true,” because this “something outside” is immediately converted into nothing but a thought for us. In short, Meillassoux here seems to be offering a kind of Zen koan: his “strong correlationism” is reminiscent of the gateless gate, or the sound of one hand clapping, or the command to punch Hegel in the jaw when meeting him on the road. We cannot at the same time both destroy the realist challenge of the things-in-themselves in order to undercut realism and reintroduce that very realist sense in order to undercut idealism. In a world where everything is instantly converted into thought, we cannot claim that there might be something extra-mental anyway, because this “might be something” is itself converted into a thought by the same rules that condemned dogs, trees, and houses to the idealist prison. This brings us to the third pillar of Meillassoux’s argument, which is the key to all the rest: the necessity of contingency. His strategy is to transform our supposed ignorance of things-in-themselves into an absolute knowledge that they exist without reason, and that the laws of nature can change at any time for no reason at all. In this way the cautious agnosticism of Kantian philosophies is avoided, but so is the collapse of reality into thought as found in German Idealism. Meillassoux does try to prove the existence of things-in-themselves existing outside thought; he simply holds that they must be proven after passing through the rigors of the correlationist challenge, not just arbitrarily decreed to exist in the manner of naïve realism. As he puts it, “Everything could actually collapse: from trees to stars, from stars to laws, from physical laws to logical laws; and this not by virtue of some superior law whereby everything is destined to perish, but by virtue of the absence of any superior law capable of preserving anything, no matter what, from perishing” (53). If idealism thinks that the human-world correlate is absolute, for Meillassoux it is the facticity of the correlate that is absolute. He tries to show this with a nice brief dialogue between five separate characters (55-59) which is covered in detail in my forthcoming book,2 but which I will simplify here for reasons of time. In this simplified version, we first imagine a dogmatic realist arguing with a dogmatic idealist. The realist says that we can know the truth about the things-in-themselves; the idealist counters that we can only the truth about thought, since all statements about reality must be turned into statements concerning our thoughts about reality. Here the correlationist enters and proclaims that both of these positions are equally dogmatic. For although we have access to nothing but thoughts, we cannot be sure that these thoughts are all that exist; there could be a reality outside thought, there is simply no way to know for sure. And this latter position is the one that Meillassoux attempts to transform from an agnostic, skeptical point into an ontological claim about the contingency of everything. Consider it this way. How does the correlationist defeat the idealist? The idealist holds that the existence of anything outside thought is impossible. The correlationist, by contrast, holds that something might exist outside the human-world correlate. But this “something might” has to be an absolute possibility. It cannot mean that “something outside thought might exist for thought ,” because that is what the idealist already says. No, the correlationist must mean that something might exist outside thought quite independently of thought. In other words, the correlationist says that idealism might be wrong, and this means it is absolutely true that idealism might be wrong. Thus, correlationism is no longer just a skeptical position. It holds that all the possibilities of the world are absolute possibilities. We have absolute knowledge that any of the possibilities about the existence or non-existence of things-in-themselves might be true, and this means that correlationism flips into Meillassoux’s own position: speculative materialism. As Meillassoux sees it, there are only two options here. Option A is to absolutize the human-world correlate, which is what the idealist does: there absolutely cannot be anything outside thought. Option B, by contrast, is to absolutize the facticity of the correlate: its character of simply being given to us, without any inherent necessity. The correlationist cannot have it both ways by saying: “there absolutely might be something outside thought, yet maybe this is absolutely impossible.” In other words, once we escape dogmatism we can only be idealists or speculative materialists, not correlationists. The human-world correlate is merely a fact, not an absolute necessity. But this facticity itself cannot be merely factical: it must be absolute. Here Meillassoux coins the French neologism factualité , which has been suitably translated into the English neologism “factiality.” (7, 122-3) Factialty means that for everything that exists, it is absolutely possible that it might be otherwise, not just that we cannot know whether or not it might be otherwise. Just as Kant transformed philosophy into a meditation on the categories governing human finitude, Meillassoux wishes to turn philosophy into a meditation on the necessary conditions of factiality, which he calls “figures”—a new technical term for him. (80) One such figure is that the law of non-contradiction must be true, and for an unusual reason. Since everything is proven to be contingent, nothing that exists can be contradictory, for whatever is contradictory has no opposite into which it might be transformed, and thus contingency would be impossible.3 Another such figure is that there must be something rather than nothing: for since contingency exists, something must exist in order to be contingent. It is a daring high-wire act, one that sacrifices realism to the correlational circle in order to rebuild it from out of its own ashes. Some might conclude that the lack of reason in things is a byproduct of the ignorance of finite humans, Meillassoux is making precisely the opposite point. For in fact, the doctrine of finitude usually leads directly to belief in a hidden reason. The fact that it lies beyond human comprehension merely increases our belief in this arbitrarily chosen concealed ground. By defending anew the concept of absolute knowledge Meillassoux evacuates the world of everything hidden. The reason for things having no reason is not that the reason is hidden, but that no reason exists. Thus, even while insisting on the necessity of non-contradiction, he rejects the other Leibnizian principle: sufficient reason. Everything simply is what it is, in purely immanent form, without deeply hidden causes. Or as Meillassoux puts it: “There is nothing beneath or beyond the manifest gratuitousness of the given—nothing but the limitless and lawless power of its destruction, emergence, or persistence” (63).The world is a “hyper-chaos”(64). But this is not the same thing as flux. For the chaos of the world is such that stability might occur just as easily as constant, turbulent change. Let’s now digress a bit, and return to the question of ancestrality, which Meillassoux transforms later in the book into “dia-chronicity.” Correlationism holds that all talk of a world outside the correlate is immediately recuperated by the correlate. The phrase “13.5 billion years ago” becomes “13.5 billion years ago for us ,” and the phrase “the universe following the extinction of humans” becomes “the universe following the extinction of humans for humans .” But notice that whether we talk about the world before or after humans, in both cases it is time that is used to challenge the correlate. Meillassoux has no interest in challenges that might be posed by space. For example, what about a vase in a lonely country house that topples to the floor and smashes when no one is there to watch it? Isn’t this also a challenge to correlationism, no less than the Big Bang or the heat death of the universe long after humans have vanished? In an eight-page supplement to the English translation of After Finitude ,4 possibly in response to my own 2007 review of the French original,5 Meillassoux bluntly denies that space is of any relevance to the question. Spatial distance is a merely harmless challenge to the human-world correlate. After all, even though no one is there in the lonely country house to witness the shattering of the vase, we can say that had there been an observer , that observer would have witnessed the toppling and destruction of the vase. For this event still occurs in a world in which the human-world correlate already exists, whereas the diachronicity of events both before and after the existence of humans makes it impossible to say that had there been an observer they would have witnessed the Big Bang occurring in such and such a fashion. However, it seems to me that Meillassoux merely asserts that the temporal simultaneity of our existence with that of the vase in the lonely country house is enough to render it harmless. It is true that the house does not exist prior to the correlate, but nonetheless it exists outside the correlate, and that is enough to make the same challenge. It is difficult to see why the “had there been an observer” maneuver succeeds in the case of a vase in the countryside in April 2011 but fails in the case of the Big Bang. This is not just a matter of nitpicking Meillassoux’s argumentative style: the fact that he bases his argument on time has at least two important consequences for his position. For in the first place, even though Meillassoux insists that the laws of nature are absolutely contingent, this turns out to be true only in a temporal sense. That is to say, it is a paradoxical feature of Meillassoux’s philosophy that he does allow for the existence of laws of nature, and simply believes that they can change at any moment without reason. Within any given moment, laws of nature do exist. He never suggests that different parts of the universe can have different laws at the same time, nor does he have any interest in the laws of part/whole composition that take place within any given instant. Could it be the case that rather than being made of gold atoms, a small chunk of gold could be made of silver atoms, cotton, horses, or that this same small piece of gold could be made of gigantic vaults filled with even more gold? These are not topics that draw Meillassoux’s attention, since he is focused solely on how the laws of nature might change or endure from one moment to the next . Another implication for Meillassoux’s system is that his concept of things-in-themselves turns out to be to be inadequate. For when he proves that things-in-themselves can exist without humans, this turns out to be true only in a temporal sense as well. Namely, things-in-themselves existed ten billion years ago, and they will continue to exist after all humans have succeeded in exterminating themselves. However, being able to exist before our births and after our deaths is just one small part of what it means to be a thing-in-itself. The more important part is that even if a thing is sitting on a table right now, in front of me, even if I stroke it lovingly or press my face up against it directly, I am still dealing only with a phenomenal version of the thing; the thing-in-itself continues to withdraw from all access. Yet no such thing is acknowledged by Meillassoux. For him finitude is a disaster, and absolute knowledge is in fact possible. Meillassoux’s thing-in-itself exists in independence only of the human lifespan , not of human knowledge. The fifth pillar of Meillassoux’s argument is his use of Cantor’s transfinite mathematics to show that even if the laws of nature are contingent, they need not be unstable, and thus we cannot use the apparent stability of nature to disprove his metaphysics of absolute contingency. What Cantor showed is that there are different sizes of infinity, and that all these infinities cannot be totalized in a single infinite number of infinities. Meillassoux sees this as crucial, since it allows him to discredit any “probabilistic” argument against his theory. The probabilistic argument (as defended quite clearly by Jean-René Vernes)6 would say this: given that the laws of nature seem so stable, it it is extremely improbable that there is no hidden reason for their remaining so stable. As Meillassoux sees it, probability is of value only when we can index an accessible total of cases. These can even be infinite: for example, there are an infinite number of points where a rope can break when stretched tight, but this does not stop us from calculating probabilities for various sections of the rope to break. By contrast, there is no way to sum up the number of possible laws of nature. For here there is no way to totalize; we cannot stand outside of nature and calculate the possible number of laws so as to determine the probabilities that any one of them might change. Therefore, although we can speak of probability when dealing with intraworldly events such as elections, horse races, and coin-flips, we cannot use the words “probable” or “improbable” when describing alterations at the level of nature as a whole. Rather than commenting on the validity of this argument and its use of Cantor, let me simply note that it once again creates a dualistic ontology. We already saw that Meillassoux treats time differently from space. In analogous fashion, he now treats the level of world differently from that of intraworldly events. The emergence of worlds is purely contingent and virtual and governed by no probability at all, while events within the world necessarily follow laws (even if these laws can change at any moment without reason), and thus their probabilities can be calculated. It is a strategy deeply reminiscent of Badiou’s (2005) own dualism between the normal “state of the situation” and the rare and intermittent “event.” The sixth and final pillar of Meillassoux’s book can be dealt with briefly, since we have already touched on it elsewhere. It comes at the very beginning of the book, when Meillassoux says that we must revive the distinction between primary and secondary qualities, and that the primary qualities are the ones that can be mathematized. He admits that he has not yet published a proof of this idea, though in fact it is already known as one of his primary doctrines. And here we encounter the familiar problem with Meillassoux’s inadequate conception of things-in-themselves. “Primary qualities” refers to those qualities that a thing has independently of its relations with us or anything else. But if the primary qualities can be mathematized, this means that they are not entirely independent of us, since our knowledge can get right to the bottom of them. The mathematized qualities of things are independent of us only in Meillassoux’s sense that they will still have those qualities even when all humans are dead. But to repeat, autonomy from the human lifespan is not the same as autonomy from human access. Here once more Meillassoux is concerned only with independence from the human-world correlate across time, not in any given instant. 2. L’Inexistence divine In 1997, the same year in which he turned thirty years old, Meillassoux earned his doctorate at the École normale supériuere with a brazen dissertation entitled L’Inexistence divine ( The Divine Inexistence ). The work was substantially revised in 2003. But even then, with typical fastidiousness, Meillassoux decided that the work was not yet ready for press. It has now been scrapped in favor of some future, multi-volume work bearing the same title. While writing my book on Meillassoux for Edinburgh University Press, I was permitted to translate excerpts from this unpublished work for use as an appendix in my own book; in total, the appendix contains approximately twenty percent of Meillassoux’s 2003 manuscript, the first time any of it will be published in any language. Nonetheless, a portion of the argument was already tested in the article “Spectral Dilemma,” published in English in the journal Collapse (2008: 261-75). There the philosophical motives for the virtual God are already made clear. What troubles us most are early deaths, brutal deaths, deaths of especial injustice– the sorts of deaths in which the brutal twentieth century was so abundant. And here, neither the atheist nor the believer can help us. The atheist can offer nothing but a sad and cynical resignation when reflecting on the victims of these terrible crimes. The believer does little better, being unable to explain how God could have allowed such things to happen, due to the famous intractability of the problem of evil. The solution offered to this dilemma by Meillassoux is bold, and all the more so given that he emerges from such a deeply Leftist, materialist, and unreligious background. His solution is that God does not yet exist, and therefore is not blameworthy for these catastrophes. Given that everything is contingent in Meillassoux’s philosophy, this God and divine justice might never exist, but they can at least exist as an object of hope. Let’s begin by jumping to the end of L’Inexistence divine , where the alternatives are laid out so nicely. There are four basic attitudes that humans can have towards God, Meillassoux says. First, we can believe in God because he exists. This is the classical theist attitude, rejected for the simple reason that it would be amoral and blasphemous to believe in a God who allows children to be eaten by dogs, to use Dostoevsky’s example. Second, we can disbelieve in God because he does not exist: the classical atheist attitude. But this leads to sadness, cynicism, and a sneering contempt for the greatness of human capacity. The third option, rather more complex, is to disbelieve in God because he does exist: in other words, to exist in rebellion against God as the one who must be blamed for the evils of the earth. The examples here might range from Lucifer himself, to the more human figure of Captain Ahab in Melville’s Moby-Dick , to Werner Herzog’s even more recent catchphrase, “Every man for himself, and God against all.” That leaves only the fourth option: believing in God because he does not exist. Meillassoux closes his book by saying that the fourth option has now been tried (namely, in the course of his own book), and that now that all four have been specified, we must choose. The first reaction to this theory of the inexistent God will be laughter. Few readers will ever be literally convinced by it, and probably none will immediately be convinced by it. But if we ask ourselves why we laugh, the answer is because it sounds so improbable that an inexistent God might suddenly emerge and resurrect the dead. It obviously sounds more like a gullible theology than a rigorous piece of philosophical work. Yet two things need to be kept in mind. First, Meillassoux’s theories are hardly more unlikely than those of great philosophers of the past such as Plato, Plotinus, Avicenna, Malebranche, Spinoza, Leibniz, Nietzsche, or Whitehead. We read the great philosophers not because their systems are plausible in commonsense terms that can be measured by the laws of probability. Instead, we read them precisely because they shatter the existing framework of common sense and open up new window on the universe. Second, and even more importantly, Meillassoux has already rejected probability as a valid measuring stick in philosophy. Or rather, he accepts probability in the intra-worldly realm (where it is linked with potentiality), and rejects it at the level of the world itself (where potentiality is replaced with what he calls virtuality). The virtual God can appear at any moment for no reason at all, just as any other new configuration of laws of nature can appear: in a manner that the laws of probability cannot calculate. Responding to those who might ridicule the idea of a sudden emergence of God and a resurrection of the dead, Meillassoux cites Pascal, who asserts that the resurrection of the dead would be far less incredible than the fact that we were born in the first place. This shifts philosophy onto new ground. Rather than concerning ourselves with what is likely to happen in the world as we know it, we focus instead on the most important things that could happen. For this reason, the expected objection that a virtual God is no more likely to appear than a virtual unicorn or a virtual flying spaghetti monster misses the point. Unicorns and spaghetti monsters could also appear, just like any other non-contradictory thing. But these would just be novel bizarre entities among others, not the heralds of completely new worlds. For Meillassoux, the emergence of matter, life, and thought have been the three truly amazing advents of the world so far, each of them dependent on the advent(s) preceding them. As he sees it, there can be no greater intraworldly entity than the human beings who already exist, since nothing in the world is better than the absolute knowledge of which humans alone are capable. This means that the next great advent must be something that perfects human beings rather than superseding them. And this can only be the world of justice, in which the dead are resurrected and their horrible deaths partially cancelled (Meillassoux never considers the possibility of a God who would literally erase the pre-divine past so that it never happened at all). The only immortality worth having is an immortality of this life, not an existence in some ill-defined afterworld. Human existence, he holds, must always be governed by a “symbol” that gives us the “immanent and comprehensible inscription of values in a world.” And just as cosmic history made the three great contingent leaps of matter, life, and thought, with a leap to justice as the only one still to come, a similar structure occurs within human culture and its symbols, which consist so far of the cosmological, naturalistic, and historical symbols, with a “factial” symbol still to come. We can review each of these symbols briefly. The cosmological symbol refers to the ancient dualism between the terrestrial and celestial spheres. Here below everything is conflict, corruption, and decay; but in the heavens nothing is perishable, all movement is circular, and everything is arranged in mutual harmony. This symbol is ended by modern physics when Galileo discovers such blemishes as sunspots and craters on the moon, and when Newton integrates both celestial and terrestrial movement into a single gravitational law. Next comes the naturalistic or romantic symbol, in which perfection comes not from the sky but from nature itself. The world is filled with pretty flowers (Meillassoux claims that the ancients never discussed the beauty of flowers until Plotinus in the third century) and with living creatures naturally moved by pity, at least until society corrupts them. This symbol collapses in the face of reality as we know it, since pity is no more common than war, corruption, and violence. This brings us to the historical symbol, which only now is passing away. Bad things may happen, but history has an inner logic of its own, such that everything works out in the end. The ultimate form of the historical symbol is the economic symbol, whether in a Marxist or neo-liberal form. Just as the Marxist holds that the inner economic logic of the capitalists will inexorably lead them to self-destruction, the neo-liberal assumes that the sum total of individual selfish actions will lead, in the long run, to the greatest possible good. We worship the economy and let it guide history for us, just as the ancients worshipped celestial bodies and held them to be free from blemish. The final remaining symbol is the factial symbol, which Meillassoux hopes will now emerge. Factiality, we recall, is his term for the absolute contingency of everything that exists. Once we have grasped this absolute contingency, we are free to expect the dramatic advent of the coming fourth World: the world of justice, inaugurated by a virtual God and even mediated by a messianic human figure. There is the added feature, however, that this messiah must abandon all claims to special status once the messianic realm of justice is achieved. The messianic figure will then be no more special than any person on the street, since a reign of human equality will have arisen. Although this focus on human being might seem like a return to standard humanism, Meillassoux holds that human pre-eminence has never truly been maintained. Previously, humans have been treated as special only because they contemplate the Good, because they resemble their omnipotent creator, or because they happen to be the temporary victors in a cruel Darwinian death-match between millions of living species. For Meillassoux, by contrast, humans have value because they know the eternal. But it is not the eternal that is important, since this merely represents the blind, anonymous contingency of each thing. What is important is not knowledge of the eternal , but knowledge of the eternal. We should not admire Prometheus for stealing fire from the gods; Prometheus is simply as bad as all the gods, no matter how much he increased our power. Feuerbach and Marx were wrong to say that God is a projection of the human essence, since for Meillassoux the usual concept of God represents the degradation of the human essence. If the traditional God was allowed to inflict plagues and tsunamis on the human race, the Promethean human of the twentieth century simply assumes the right to inflict death camps and atomic fireballs instead. In this respect, we have simply begun to imitate the degradation of humanity that was formerly invested in an omnipotent and arbitrary God. In response to charges that absolute contingency might lead to political quietism, Meillassoux counters that the World of justice would mean nothing unless we had already hoped for it beforehand. A World of justice that came along at random would merely be an improved third World of thought: indeed, a perfect one. But it would have satisfied no craving, and would therefore have no redemptive power. For this reason, we must actively hope for the fourth World of justice for such a fourth World ever to arise. Not only justice, but beauty is dependent on such hope: for Meillassoux, who is here somewhat dependent on Kant, beauty means an accord between our human symbolization and the actual world, which could never be present in a World of the blessed any more than justice could. And just as a messianic figure is needed to incarnate our hope and then abandon power once the World of justice is realized, it is the figure of the child whose fragile contingency shows us a dignity and a demand for justice beyond all power. 3. Meillassoux Radicalized or Reversed Given the promising reception of Meillassoux’s first book, it would not be groundless to engage in early speculation about what it might take to earn him a place in the history of philosophy. Maybe this will never happen—who knows?—but quite possibly it will: his lucid argumentative methods and sheer philosophical imagination at least make him a good candidate to be read well into the future, especially following further elaboration in print of his mature system. Philosophy is often practiced as thought it were nothing more than the amassing of “knockdown arguments.” But this is no more insightful than saying that good architecture is the amassing of steal beams. It is true that poorly constructed building cannot stand for long, but sound construction is merely the first, indispensable step in building. In fact, I am inclined to say that what really makes a philosopher important is not being right, but being wrong . I mean this in a very specific sense. I once heard the interesting remark about twentieth century culture that “you have to remember that the sixties really happened in the seventies.” That is to say, it was in the 1970’s rather than the more honored 1960’s that civil rights, free love, long hair, and the rock and roll drug culture really took root. With respect to the history of philosophy, we might just as easily say: “you have to remember that Plato really happened in Aristotle,” that “Kant really happened in Hegel” or “Hume really happened in Kant,” or that “Husserl’s phenomenology first achieved its truth in Heidegger.” One becomes an important philosopher not by being right, but by attracting rebellious admirers who tell you that you are wrong , even as their own careers silently orbit around your own. To recruit faithful disciples may be comforting and flattering, but the greatest thinkers have generally had to experience refutation at the hands of their most talented heirs. For this reason, I would propose that we size up the magnitude of living thinkers not by deciding how many times they are right and wrong, but by asking instead: who would take the trouble to refute this author? For this reason I do not ask: “Is Meillassoux right?”, since I do not believe in the virtual God myself, nor am I convinced by any important aspect of Meillassoux’s philosophy. Instead, I ask if there are interesting ways to overturn him. Only by being overturned, by no longer remaining a contemporary, does one become a classic. Let’s begin with a simple model of refutation, which can be refined further at a later date once the basic point is established. One kind of refutation simply consists in saying: “This author is a complete idiot.” The refuter now walks away in celebration, and no link between the present and the future is built; all is reduced to rubble. But this sort of mediocre triumphalism is generally practiced by those who achieve little of their own, and is not especially interesting. Much more interesting is the sort of refutation that does not take its target to be a complete idiot. I would like to suggest that there are just two basic ways in which this can be done: radicalization and reversal . It has not escaped my notice that this is a fairly good match for the Deleuzian distinction between irony and humor. Whereas irony critiques and adopts the opposite principle of what it attacks, humor accepts what it confronts but pushes it into highly exaggerated form. The ironist is like the worker who sows chaos by rebeling and contradicting the boss, while the humorist is like the worker who follows orders to an absurdly literal degree, with equally chaotic results. Let’s start with a few examples. In Aristotle’s treatment of Plato, and Heidegger’s of Husserl, we find reversal. Plato’s eidei are transformed by Aristotle into mere secondary substances, and the individual worldly things despised by Plato become what is primary. For Husserl what is primary is whatever is present to consciousness, while for Heidegger this is precisely what is secondary, since the primary stuff of the world withdraws from any form of presence at all. As for radicalization, it is most easily found in the transformation of Kant by German Idealism: “Kant was right to wall off the things-in-themselves from human access, and simply should have realized that the thought of the Ding an sich is also a thought, and thereby the noumena are just special cases of the phenomena,” with much following from this discovery. It would also be easy to read Spinoza as a radicalizer of Descartes, and Berkeley and Hume as radicalized versions of Locke. Perhaps the distinction is now sufficiently clear. Admiring refutations are not those that say “Professor X is an idiot,” which is merely the flip side of the eager disciple’s fruitless “Professor X got everything right.” Instead, it will be some variant of one of the following two options: “Professor X is important, but got it backwards,” or “Professor X is important, but didn’t push things far enough.” In the history of philosophy these two latter cases have often been painful in purely human terms: Aristotle expresses sadness at refuting Plato, Kant is openly annoyed at Fichte, and Husserl feels betrayed and used by Heidegger. Rude handling from later figures almost seems to be the sine qua non of being a great philosopher. Now, it has already been claimed that Meillassoux is an emerging philosopher of the first importance, and by no less a figure than Alain Badiou: “It would be no exaggeration to say that Quentin Meillassoux has opened up a new path in the history of philosophy…” (Preface, vii). But rather than taking Badiou’s word for it, or rejecting his word, we might experiment by asking how Meillassoux could be radicalized or reversed. Are there interesting ways of doing this that might launch whole new schools of philosophy, unexpected or even condemned by Meillassoux himself? While no one can see the future, the present is poor when it is not riddled with virtual futures. The relation between philosophers and their predecessors and successors is always somewhat complicated, of course. But generally there is one central divergence at stake, which might be taken as the key to all the others. On this basis we could say that new thinkers primarily radicalize or primarily reverse the main ideas of their chief philosophical forerunner. There may be specific historical conditions and perhaps even personality traits connected with these two types, but this question can be left aside for now. More important for us is that radicalizers will generally be followed by reversers, and vice versa. Consider the textbook example of a reversal in the history of philosophy: Kant’s Copernican Revolution, which inverts the so-called dogmatic tradition that addresses the world itself, and makes the world revolve instead around the conditions by which it is known. While it is not completely impossible that Kant’s successors might have re-reversed this principle back into a new and stronger dogmatic realism, conditions were premature for such a move. Anyone doing this too early would likely have been an angry anti-Kantian reactionary rather than an original thinker in command of a genuinely new realist principle. The far more likely outcome is the one that actually happened: Kant’s reversal of his predecessors was viewed as incomplete, or as retaining lamentable bits of the traditional view, which despite his admirable breakthrough he was unable to shake off. This was the view of German Idealism, anyway. In similar fashion, Spinoza could also be viewed as a radicalizer of Descartes, who is equally accused of preserving various Scholastic dogmas in an otherwise radical project of philosophical reversal. The point is this: reversals in the history of thought tend to be followed soon thereafter by radicalizations of those reversals. The same may hold true in reverse: radicalizations might generally be followed by reversals, given that it is not always possible to be more radical than the radicals have already been. Consider the case of Husserl, who radicalizes Brentano’s early vagueness about what lies beyond immanent objectivity, and Twardowski’s assertion that there must be an external object lying outside the intentional content, by collapsing everything into the intentional sphere: there is no difference between the Berlin in my consciousness and the actual Berlin that is home to millions of people. It is difficult to see how one could be even more radical than Husserl’s idealist turn here. And thus the road is paved to Heidegger’s reversal of classical phenomenology, in which the key point is what lies deeper than any presence to consciousness: the Sein whose power and obscurity cannot be made exhaustively present, but only sends itself in historical epochs. In similar fashion we might also read Leibniz as a reverser of Spinoza’s radicalization, retrieving a strong sense of individual substance and a certain validity of what the Scholastics had said. Returning to Meillassoux, we might ask which kind of philosopher he is: a radicalizer or a reverser? At present, Meillassoux looks to me like a radicalizer (though for now his future remains shrouded in mist). He takes the correlationist tradition, which allows us to speak only of the relation between human and world, and tries to raise it into an even more extreme claim about the absolute contingency of everything. But whereas German Idealism did this by trying to collapse the distinction between thought and world entirely into the “thought” side, Meillassoux does it by trying to shift the non-absolute contingency of the thought-world correlate from epistemology to ontology. It is no longer a question of the inability of human knowledge to know what lies outside the correlate, but the inability of reality itself to be rooted in any definite laws. Furthermore, if we look at the various features of Meillassoux’s philosophy identified earlier tonight, all but one are already so radical that there is no obvious way to push them further. The one exception would be his claim that the world as a whole can change for no reason at any moment, coupled with the inconsistent claim that within a given world there are laws of nature that everything must follow. If gravitational attraction between all masses is a current law in our world, then for Meillassoux there can be no exceptions to this law for as long as it remains in force. A toppled vase will fall to the floor every time for sure,unless there is a cosmic change by which the laws of nature as a whole have altered. (This is reminiscent of the late medieval distinction between the absolute and ordained power of God, according to which God has the power to set or change the laws of nature, but not to contravene those laws locally once they are set.) On this point, to radicalize Meillassoux would simply be to say: there are no laws of nature even in the local sense. Everything that happens, even in the world here and now, is purely contingent and not governed by even a trace of law. And while this would be a more consistent development of Meillassoux’s thoughts on contingency, it is difficult to see how it could lead to a new philosophy. Instead, the admiring successors of Meillassoux are more likely to reverse one of his already sufficiently radical points. At least four candidates come to mind: *First, we have seen that Meillassoux thinks correlationism is challenged by a time before or after consciousness, but not by a space lying outside it. Perhaps this could be reversed into saying that spatial exteriority is the really crucial point. The arguments on this point are perhaps the least convincing in After Finitude (and do not even occur in the original French edition), and therefore it might be a candidate for the “blind spot” of which no philosopher is ever free. *Second, Meillassoux uses Cantor to claim that the contingency of laws of nature would not entail that they are unstable. A successor of Meillassoux might claim that it does make them unstable, and celebrate this fact. This person would then have to explain why common sense seems to encounter a relatively stable world despite its truly rampant instability. Whereas Meillassoux’s problem is to show how stability might exist despite contingency, this successor’s problem would be slightly different: to show why actual, full-blown instability might have the appearance of stability. *Third, Meillassoux claims that the primary qualities of things are those that can be mathematized. He might be reversed by a successor who says the opposite: the mathematizable qualities are the secondary ones, and the primary ones are those that elude symbolic formulation. While this is a perfectly valid possible objection to Meillassoux, it is one that is made in advance by some of his predecessors and is still made by some of his peers, making it less interesting for futurology than some of his other points. *Fourth and finally, whereas Meillassoux claims that God does not exist but might exist in the future, a successor might argue even more bizarrely that God has always existed but might vanish in the future. Let’s arbitrarily select the first of these possibilities, and imagine briefly where it might lead, if pursued in the future by admiring detractors. Meillassoux comes from the circle of Badiou, and some of Badiou’s most ardent admirers are found in Latin America. So, let’s imagine that towards mid-century some ingenious reversers of Meillassoux emerge in that portion of the Spanish-speaking world. Just for fun, let’s call them Castro and Chávez. And in order to avoid any confusion with the present-day politicians of those names, we will stipulate that Meillassoux’s great successors are both women. The philosopher Castro (we will suppose she comes from Peru) reverses Meillassoux’s argument that the ancestral or diachronic are what most threaten the human-world correlate. Instead, she claims that the diachronic does not threaten the correlate at all, and that we must instead look at space as what ruins the correlate and demands a strange new realism. What would such a philosophy look like? In order to determine this, we might ask what price Meillassoux pays for doing it the opposite way. As I see it, he pays in two separate ways. One is that laws of nature for him are contingent over time . The laws of nature apply to the universe as a whole at any given moment, and would be changed globally if they are ever changed at all. The second price he pays is that Meillassoux has no mereology , or theory of parts and wholes. Everything for him is on the level of the given, or immanent in experience, with the sole proviso that the laws governing this immanence might change without notice at any given moment. In reversing Meillassoux, Castro makes the following claims in the preface to her stunning debut book of 2045, The Cosmos and its Neighborhoods , rapidly translated from Spanish into all the languages of the world: Despite his brilliant analysis of the contingency of laws of nature over time, Meillassoux gets two important assumptions wrong. First, he allows for only one set of contingent laws to govern nature as a whole. Second, he allows laws to govern only the world that is immanent in experience, and thereby fails to explore the contingency among part-whole relations. In this book I will argue, first, that the laws of nature vary in any given instant between one region of the universe and the next; and second, that the world is made up of layers of parts and wholes that are also contingent with respect to one another. Those are the words of Castro. This may sound like a hopeless free-for-all of chaos, yet the book somehow succeeds in drawing some compelling deductions about how laws must vary from one place or level in the world to the next. Trapped in the limited horizon of 2011, and not yet inspired by the heavily balkanized political and technological situation of 2050 that somehow lends additional credence to Castro’s vision, we can only vaguely grasp what such a philosophy might look like. After this reversal of Meillassoux by Castro, the usual pattern leads us to expect a radicalization by Chávez, a young Argentine student of Castro. How could the already strange theories of Castro be radicalized? Perhaps as follows, in a disturbing new book entitled The Implosion of the Neighborhoods , which argues as follows: Castro was right to shift the Meillassouxian framework of contingency from time to space. However, in this respect she retained a surprisingly traditional opposition between the two. In this book I will show that time and space collapse into one another. This may sound too much like the discredited four-dimensional block universe of twentieth century physics and philosophy. However, the four-dimensional universe is a model biased in favor of space, merely adding an extra dimension to the commonsense spatial continuum while stipulating that the serial passage of time is an illusion. In this book I will argue instead for a one-dimensional space-time modeled after our experience of time, in which there is no simultaneous co-existence at all between different parts of the universe, or ‘neighborhoods’ as my esteemed teacher Castro has called them. Instead, the various portions of the universe link to one another by succession rather than by coexistence. Buenos Aires, New York, and Amsterdam do not exist simultaneously in the same landscape, but one after the other in the mind of some observer, and this observer can only be an observer much larger than any human. Against Meillassoux’s notion of a virtual God that does not exist now but might exist in the future, I will argue for an actual God that surveys the universe in sequence, thereby generating the illusion of spatial diversity and even the illusion of individual minds located within that diversity. Once this divine observer dies, the universe as a whole must perish. Again, these ideas are so bizarre that we of 2011 can barely comprehend them, just as Aristotle would have had a difficult time grasping the theories of Descartes. We could then perhaps imagine a further reversal of this theory, emanating from the intellectually resurgent Philippines of the twenty-second century. The Filipino School might argue that the universe is already dead, given the collapse of its spatial richness into the serial observations of a flimsy and mortal God. The virtual universe does not yet exist, but might exist in fully spatial form in the future, and this would require the death of God and the resulting liberation of God’s succession of images as independent, spatially situated realities. With a bit of sharpening, we might be able to make all of these imaginary thinkers more intuitively clear. Along with the history of philosophy, there might arise a new discipline generating imaginary futures for philosophy. The richness of Meillassoux’s system comes not from the fact that he is plausibly right about so many things, but because his philosophy offers such a treasury of bold statements ripe for being radicalized or reversed. He is a rich target for many still-unborn intellectual heirs, and this is what gives him the chance to be an important figure. NOTES 1. Quentin Meillassoux, After Finitude . Trans. R Brassier. (London: Continuum, 2008.) Page 5. The word “correlationism” does not appear in his doctoral thesis. As Meillassoux informed me in an email of February 8, 2011, he first coined this term in 2003 or 2004, while editing for publication a lecture he had given at the École normale supérieure on a day devoted to the theme of “Philosophy and Mathematics,” an event including Alain Badiou as one of the participants. 2. Graham Harman, Quentin Meillassoux: Philosophy in the Making . (Edinburgh: Edinburgh University Press, forthcoming 2011). 3. In an email of December 6, 2010, Meillassoux clarifies that in After Finitude he only deduces the impossibility of a “universal contradiction,” not of a determinate contradiction. In the same email he suggests that he can also prove the latter, though the proof is somewhat lengthier than the one found in After Finitude . 4. After Finitude (18-26), in the passage falling between the two sets of triple asterisks. These pages were sent by Meillassoux to translator Ray Brassier (in French) during the translation process, and do not appear in the original French version of the book. 5. Graham Harman, “Quentin Meillassoux: A New French Philosopher.” Philosophy Today 51.1 (2007): Pages 104-117. The passage where I raise the question of space can be found in the first column of page 107. 6. Vernes is first cited on p. 95 of After Finitude . See Jean-René Vernes, Critique de la raison aléatoire, ou Descartes contra Kant . (Paris: Aubier, 1982).  . (shrink)

Se leggiamo tra le righe del suo lavoro, possiamo scoprire che Varzi prende i mostri molto sul serio. Troviamo, per esempio, mostri mereologici frutto della composizione non ristretta, come l’entità costituita dalla metà sinistra di questa mela e dal bracciolo di quella poltrona.10 Oppure mostri topologici dai quali una teoria mereotopologica delle nicche deve rifuggire, come le curve riempispazio di Peano e Hilbert.11 O, ancora, mostri ontologici come l’antimateria;12 le entità “inesistenti” che, come si sa, non possono esistere, dato che (...) non ci sono cose che non esistono; e le entità “negative”: buchi, mancanze e omissioni, conferenze non date.13 In questo contributo, seguendo il suggerimento di Varzi, parlerò, appunto, di mostri, prendendo l’avvio da alcune creature che popolano il regno della finzione, per poi passare a trattare dei mostri che popolano il nostro mondo. Essendo poco lo spazio e molti i mostri, procederò dapprima proponendone una tassonomia – punto di partenza per ogni generalizzazione che si rispetti – e in seguito cercando di illustrare perché i mostri vadano presi sul serio in metafisica. È d’obbligo precisare che si tratterà di una tassonomia parziale e provvisoria, ma lo è altrettanto ricordare che le tassonomie, quelle biologiche in particolare, lo sono sempre, per due ragioni. In parte, perché la vita è in costante evoluzione, in parte perché le nostre conoscenze e decisioni condizionano la struttura e i contenuti dei nostri sistemi di categorie: basti pensare che la prima edizione del Systema naturae di Linneo contava undici pagine, mentre la tredicesima ben tremila, ripartite in sei volumi. Quando un tassonomo scopre un organismo che ritiene – dopo accurati esami comparativi – essere appartenente a una specie fino ad allora sconosciuta, ne deposita nella letteratura scientifica, insieme al nome binomiale (cioè il nome specifico, composto dall’indicazione del genere e della specie, come Homo sapiens), una descrizione in termini di caratteri fenetici. Quel token è chiamato tipo nomenclaturale, o esemplare-tipo, ed è il portatore del nome della specie di cui viene considerato tipo. Sulla falsariga della procedura appena descritta, riporterò la descrizione di alcuni tipi nomenclaturali per una tassonomia mostruosa che si baserà su tre criteri principali: (1) l’origine, (2) la costituzione genetica, (3) l’aspetto fenotipico. Prima di procedere, vorrei però sottolineare tre rispetti sotto i quali classificare mostri mitologici differisce dal classificare individui “ordinari”. Innanzitutto, nel caso dei mostri mitologici non è possibile, a causa del frequente intervento divino, ricorrere al criterio dell’interfecondità per stabilire se due mostri appartengono alla medesima specie. Ma d’altro canto, tale criterio, benché sia abbastanza affidabile per gli animali, non lo è affatto, per ragioni diverse dai mostri, per molte piante, alghe e funghi. Un’altra peculiarità da segnalare – di cui però non avremo modo di occuparci oltre – è che le entità mitologiche sono frequentemente soggette a trasformazioni sostanziali, mentre la nostra biologia sembra, aristotelicamente, escluderne la possibilità: una tigre non può trasformarsi in un canguro, pena la sua uscita dall’esistenza. Meno paradossalmente, una larva di mosca e la mosca adulta saranno considerate appartenenti alla medesima sorta – la mosca, appunto – benché dall’una all’altra non vi sia praticamente alcuna continuità materiale (nella metamorfosi la larva viene distrutta quasi completamente e l’adulto si genera a partire da pochi aggregati cellulari indifferenziati). Infine, nel caso dei mostri mitologici, parlerò più genericamente di “gruppo tassonomico” anziché di “specie” (e dunque il nome dei tipi nomenclaturali non sarà un nome binomiale) dal momento che, come diverrà chiaro nel corso della lettura, è proprio il concetto di “specie” come diverrà chiaro nel corso della lettura, è proprio il concetto di “specie” come articolazione naturale non oltrepassabile che i mostri che andiamo a classificare ci chiedono di mettere in discussione. (shrink)