In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in a (...) system treating apparent terms for numbers using these definitions. (shrink)

This paper explores some of the constructive dimensions and specifics of human theoretic cognition, combining perspectives from (Husserlian) genetic phenomenology and distributed cognition approaches. I further consult recent psychological research concerning spatial and numerical cognition. The focus is on the nexus between the theoretic development of abstract, idealized geometrical and mathematical notions of space and the development and effective use of environmental cognitive support systems. In my discussion, I show that the evolution of the theoretic cognition of space (...) apparently follows two opposing, but in truth, intrinsically aligned trajectories. On the epistemic plane, which is the main focus of Husserl’s genetic phenomenological investigations, theoretic conceptions of space are progressively constituted by way of an idealizing emancipation of spatial cognition from the concrete, embodied intentionality underlying the human organism’s perception of space. As a result of this emancipation, it ultimately becomes possible for the human mind to theoretically conceive of and posit space as an ideal entity that is universally geometrical and mathematical. At the same time, by synthesizing a range of literature on spatial and mathematical cognition, I illustrate that for the theoretic mind to undertake precisely this emancipating process successfully, and further, for an ideal and objective notion of geometrical and mathematical space to first of all become fully scientifically operative, the cognitive support provided by a range of specific symbolic technologies is central. These include lettered diagrams, notation systems, and more generally, the technique of formalization and require for their functioning various cognitively efficacious types of embodiment. Ultimately, this paper endeavors to understand the specific symbolic-technological dimensions that have been instrumental to major shifts in the development of idealized, scientific conceptions of space. The epistemic characteristics of these shifts have been previously discussed in genetic phenomenology, but without devoting sufficient attention to the constructive role of symbolic technologies. At the same time, this paper identifies some of the irreducible phenomenological and epistemic dimensions that characterize the functioning of the historically situated, embodied and distributed theoretic mind. (shrink)

Prior to the twentieth century, theories of knowledge were inherently perceptual. Since then, developments in logic, statis- tics, and programming languages have inspired amodal theories that rest on principles fundamentally different from those underlying perception. In addition, perceptual approaches have become widely viewed as untenable because they are assumed to implement record- ing systems, not conceptual systems. A perceptual theory of knowledge is developed here in the context of current cognitive science and neuroscience. During perceptual experience, association areas (...) in the brain capture bottom-up patterns of activation in sensory-motor areas. Later, in a top-down manner, association areas partially reactivate sensory-motor areas to implement perceptual symbols. The stor- age and reactivation of perceptual symbols operates at the level of perceptual components – not at the level of holistic perceptual expe- riences. Through the use of selective attention, schematic representations of perceptual components are extracted from experience and stored in memory (e.g., individual memories of green, purr, hot). As memories of the same component become organized around a com- mon frame, they implement a simulator that produces limitless simulations of the component (e.g., simulations of purr). Not only do such simulators develop for aspects of sensory experience, they also develop for aspects of proprioception (e.g., lift, run) and introspec- tion (e.g., compare, memory, happy, hungry). Once established, these simulators implement a basic conceptual system that represents types, supports categorization, and produces categorical inferences. These simulators further support productivity, propositions, and ab- stract concepts, thereby implementing a fully functional conceptual system. Productivity results from integrating simulators combinato- rially and recursively to produce complex simulations. Propositions result from binding simulators to perceived individuals to represent type-token relations. Abstract concepts are grounded in complex simulations of combined physical and introspective events. Thus, a per- ceptual theory of knowledge can implement a fully functional conceptual system while avoiding problems associated with amodal sym- bol systems. Implications for cognition, neuroscience, evolution, development, and artificial intelligence are explored. (shrink)

Logic is traditionally considered to be a purely syntactic discipline, at least in principle. However, prof. David Isles has shown that this ideal is not yet met in traditional logic. Semantic residue is present in the assumption that the domain of a variable should be fixed in advance of a derivation, and also in the notion that a numerical notation must refer to a number rather than be considered a mathematical object in and of itself. Based on his work, the (...) central question of this thesis is what kind of logic, if any, results from removing this semantic residue from traditional logic.We differ from traditional logic in two significant ways. The first is that the assumption that a numerical notation must refer to a number is denied. Numerical notations are considered as mathematical objects in their own right, related to each other by means of rewrite rules. The traditional notion of reference is then replaced by the notion of reduction (by means of the rewrite rules) to a normal form. Two numerical notations that reduce to the same normal form would traditionally be considered identical, as they would refer to the same number, and hence they would be interchangeable salva veritate. In the new system, called Buridan-Volpin (BV), the numerical notations themselves are the elements of the domains of variables, and two numerical notations that reduce to the same normal form need not be interchangeable salva veritate, except when they are syntactically identical (i.e., have the same Gödel number).The second is that we do away with the assumption that the domains of variables need to be fixed in advance of a derivation. Instead we focus on what is needed to guarantee preservation of truth in every step of a derivation. These conditions on the domains of the variables, accumulated in the course of a derivation, are combined in a reference grammar. Whereas traditionally a derivation is considered valid when the conclusion follows from the premisses by way of the derivation rules (and possibly axioms), in the BV system a derivation must meet the extra condition that no inconsistency occurs within the reference grammar. For if the reference grammar were to give rise to inconsistency (i.e., it would be impossible to assign domains to all the variables without breaking at least one of the conditions placed on them in the reference grammar), there is no longer a guarantee that truth has been preserved in every step of the derivation, and hence the truth of the conclusion is not guaranteed by the derivation.In Chapter 2 the BV system is introduced in some formal detail. Chapter 3 gives some examples of derivations, notably totality of addition, multiplication and exponentiation, as well as a lemma needed for the proof of Euclid’s Theorem. These examples, taken from prof. Isles’ First-Order Reasoning and Primitive Recursive Natural Number Notations, show that there is a real proof-theoretical difference between traditional logic and the BV system. Here we also find the first major point of departure between myself and prof. Isles, centered on the notion of inheritance of conditions in the reference grammar by way of lemmata. These different points of view are best illustrated in the sections on the totality of exponentiation and on Euclid’s Lemma: prof. Isles maintains that the proof of totality of exponentiation is not BV valid, while I maintain that it is. But I do agree with him that the traditional proof of Euclid’s Lemma is not BV valid. Chapter 6 also expands the arguments for my choice in this matter.Now that it has been shown that there is a difference between traditional logic and BV, the properties of BV need to be examined. In Chapter 4 we give a proof of Cut-elimination for BV minus induction and the subformula property for BV, which allows us to prove the consistency of BV minus induction. We also expand on the reasons for excluding induction. In Chapter 5 we consider in detail the proof of a finite analog to the Löwenheim–Skolem theorem given by prof. Isles in his article with the same title. He proves that under certain conditions it is always possible, given the existence of a (possibly uncountable) model for a derivation, to give a finite model for this derivation. The system he considers deviates from BV as considered in this thesis in two significant ways: it does not contain the induction rule and the domains contain numbers instead of numerical notations. We then go on to show that it is possible to extend the result to include induction, in the sense that the existence of a possibly uncountable model for a derivation guarantees the existence of a model that is at most countable. We also consider the complications that arise from taking numerical expressions instead of numbers as the elements of domains.Finally, in Chapter 6 we consider the philosophical consequences of the BV system, informed by the formal results from the previous chapters. In particular we discuss the relation between reduction and reference, the status of reference grammars, the notion of induction and its function within BV, and some brief considerations on the consequences of the BV system for the discussion regarding nominalism and realism with regard to mathematical objects. The object of the chapter is twofold. On the one hand applying the formal results to philosophical questions, on the other hand arguing that BV is not just a theoretically acceptable alternative to traditional logic, but is in fact deserving of further development and research into its properties. The latter will probably appeal most to those of a nominalist and/or finitist bent.Abstract prepared by Harrie de Swart and Sven Storms.E-mail:sven.storms@tilburguniversity.eduURL:https://research.tilburguniversity.edu/files/6170 1294/Storms_The_Buridan_Volpin_04_05_2022.pdf. (shrink)

This short paper grew out of an observation—made in the course of a larger research project—of a surprising convergence between, on the one hand, certain themes in the work of Mary Hesse and Nelson Goodman in the 1950/60s and, on the other hand, recent work on the representational resources of science, in particular regarding model-based representation. The convergence between these more recent accounts of representation in science and the earlier proposals by Hesse and Goodman consists in the recognition that, in (...) order to secure successful representation in science, collective representational resources must be available. Such resources may take the form of (amongst others) mathematical formalisms, diagrammatic methods, notational rules, or—in the case of material models—conventions regarding the use and manipulation of the constituent parts. More often than not, an abstract characterization of such resources tells only half the story, as they are constituted equally by the pattern of (practical and theoretical) activities—such as instances of manipulation or inference—of the researchers who deploy them. In other words, representational resources need to be sustained by a social practice; this is what renders them collective representational resources in the first place. (shrink)

Supposing the symbol system postulated by Barsalou is perceptual through and through -- what then? The target article outlines an intriguing and exciting theory of cognition in which (1) wellspecified, event- or object-linked percepts assume the role traditionally allotted to abstract and arbitrary symbols, and (2) perceptual simulation is substituted for processes traditionally believed to require symbol manipulation, such as deductive reasoning. We take a more extreme stance on the role of perception (in particular, vision) in shaping cognition, and (...) propose, in addition to Barsalou's postulates, that (3) spatial frames, endowed with a perceptual structure not unlike that of the retinotopic space, pervade all sensory modalities and are used to support compositionality. (shrink)

Abstractionist programs in the philosophy of mathematics have focused on abstraction principles, taken as implicit definitions of the objects in the range of their operators. In second-order logic (SOL) with predicative comprehension, such principles are consistent but also (individually) mathematically weak. This paper, inspired by the work of Boolos (Proceedings of the Aristotelian Society 87, 137–151, 1986) and Zalta (Abstract Objects, vol. 160 of Synthese Library, 1983), examines explicit definitions of abstract objects. These axioms state that there is (...) a unique abstract encoding all concepts satisfying a given formula $$\phi (F)$$, with F a concept variable. Such a system is inconsistent in full SOL. It can be made consistent with several intricate tweaks, as Zalta has shown. Our approach in this article is simpler: we use a novel method to establish consistency in a restrictive version of predicative SOL. The resulting system, RPEAO, interprets first-order PA in extensional contexts, and has a natural extension delivering a peculiar interpretation of PA $$^2$$. (shrink)

We generalise the Blok–Jónsson account of structural consequence relations, later developed by Galatos, Tsinakis and other authors, in such a way as to naturally accommodate multiset consequence. While Blok and Jónsson admit, in place of sheer formulas, a wider range of syntactic units to be manipulated in deductions (including sequents or equations), these objects are invariablyaggregatedvia set-theoretical union. Our approach is more general in that nonidempotent forms of premiss and conclusion aggregation, including multiset sum and fuzzy set union, are considered. (...) In their abstract form, thus,deductive relationsare defined as additional compatible preorderings over certain partially ordered monoids. We investigate these relations using categorical methods and provide analogues of the main results obtained in the general theory of consequence relations. Then we focus on the driving example of multiset deductive relations, providing variations of the methods of matrix semantics and Hilbert systems in Abstract Algebraic Logic. (shrink)

In this essay I will defend three points, the first being that Descartes- unlike the aristotelian traditon- maintained that abstraction is not a operation in which the intellect builds the mathematical object resorting to sensible ob- jects. Secondly I will demonstrate that, according to cartesian philosophy, the faculty of understanding has the ability to instatiate- within the process of abstraction- mathematical symbols that represent the relation between quantities, whether magnitude or multitude.And finally I will advocate that the lack of onthological (...) commitment with sensible experience found in cartesian philosophy of mathematics allows for the creation of a mathematical language that regards the objects of geometry and arithmetics through a system of rules and notations, in other words, algebra. (shrink)

A metaphor can often create novel features in an object or a situation. This phenomenon has been particularly hard to account for using amodal symbol systems: although highlighting and downplaying can explain the shift of focus, it cannot explain how entirely new features can come about. We suggest here that the dynamism of perceptual symbol systems, particularly the notion of simulator, provides an elegant account of the creativity of metaphor. The elegance lies in the idea that the creation (...) of new features by a metaphor proceeds in the same way as the creation of regular features in a perceptual symbol. (shrink)

The main goal of this essay is to propose and make plausible a framework for developing a philosophical account of musical notation. The proposed framework countenances four elements of notation: symbols (abstract objects that collectively constitute the backbone of a ‘system’ of notation), their characteristic ‘forms’ (for example, shapes, understood abstractly), the concrete instances, or ‘engravings’, of those forms, and the meanings of the symbols. It is argued that these elements are distinct. Along the way, several preliminary arguments are (...) given for how one ought to understand them—for example, it is suggested that engravings represent symbols rather than instantiate forms, although they are characteristically seen to represent a symbol by being seen to instantiate an associated form. Having proposed this framework, the essay explores the nature of musical instructions, as the meanings of symbols, and offers an argument in favor of the commonly held (but recently challenged) view that those meanings are imperative. Specifically, composites of musical notation (paradigmatically, musical scores) primarily express instructional meaning, and denote something like ‘sonic structures’ only secondarily, in virtue of their primary, imperative, meaning. (shrink)

his article will focus on the mechanistic origins of the computer metaphor, which forms the conceptual framework for the methodology of the cognitive sciences, some areas of artificial intelligence and the philosophy of mind. The connection between the history of computing technology, epistemology and the philosophy of mind is expressed through the metaphorical dictionaries of the philosophical discourse of a particular era. The conceptual clarification of this connection and the substantiation of the mechanistic components of the computer metaphor is the (...) main goal of this article. The statement is substantiated that the invention of mechanical computing devices, having a long history in the European engineering tradition, formed the prerequisites for the emergence of machine functionalism in the modern philosophy of mind. The idea of multiple implementation stems from the principle that a formal symbol system prescribes rules for the use of rational abstractions through the physical architecture of a computational engine. The article considers the reasons for the conceptual shift and reveals the semantic foundations for the metaphorical transfer of the properties of abstract objects from the theory of automata to the field of modern philosophy of mind. The criticism and ways of protecting the philosophical program of machine functionalism are analyzed by changing the content of the metaphor “Mind as machine”. The reasons for the stability of the information-computer approach in cognitive sciences are also disclosed and explained. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Math Anxiety:Making Room to BreatheValerie Allen (bio) and Todd Stambaugh (bio)"Don't do that to me, Professor," the student said, and everybody laughed, for by this late in the semester, the atmosphere was relaxed. The instructor in question had just reached the point in a worked problem when they could move from reasoning about specific numbers to stating a general principle: x≤y≤z, meaning that y—the value we sought—was always (...) going to be greater than or equal to one value (x) and less than or equal to the other (z). The student who had spoken had earned everyone's affection over the weeks, open about their difficulties with math, ready to risk being wrong, and to ask obvious questions that others may have been reluctant to owning. They had hung in there, despite presenting a classic case of math anxiety, a syndrome long recognized in the scholarship of teaching and learning.Among math anxiety's many symptoms, breathing disruption ranks high: hyperventilation (rapid breathing) and hypoventilation (barely or not breathing). When the energy-conserving parasympathetic nervous system is overtaken by the energy-expending sympathetic nervous system, the long exhalations that decelerate the heart rate are replaced by short, panting puffs from the upper lungs. The timed test provides the perfect environment for math anxiety to flourish. Stress diverts cognitive resources needed for procedural execution, so working memory consequently shrinks.Self-rated metrics for math anxiety have been in place for decades (Richardson and Suinn). Relatively trivial interventions can yield nontrivial results: deep breathing exercises and positive affirmations have a beneficial impact, as does writing about one's nerves immediately prior to an exam (Brunyé et al.). More systemic changes require a reorientation in teaching whereby conceptual mistakes are positively rewarded as opportunities for learning; students compose questions instead of answers; students solve problems together rather than perform solo (Boaler).Return now to that opening scenario to watch it become stereotype incarnate: the student was mature, Black, and female; the teacher, younger, white, and male; her comment was triggered by his shift from a specific [End Page 217] set of numbers into symbolic notation. There is robust evidence to demonstrate that certain demographics are consistently underrepresented in the U.S. math community: women and "African-Americans, Hispanics, American Indians, Alaska Natives, and Pacific Islanders," according to the Mathematical Association of America (MAA) ("Resources for Minority"). Routinely feeling that they do not belong, such groups are particularly vulnerable to math anxiety.Several remedies for such disparity suggest themselves: appointing more women and people of color in the profession; one-on-one tutorial assistance; research projects about the students' personal environment; privileging pre-test, low-stakes work over timed tests; assigning group rather than individual work. When all is said and done, however, such strategies "have little to do with mathematics content" (Martin 304). Mathematicians still need to be able to conceptualize, describe, and manipulate abstract objects, and there seems to be a suspicion that, at heart, abstraction is gendered masculine and colored white.It is possible that the rhetorical immediacy and context-dependence of Black English has misguidedly reinforced such a perception. For poet June Jordan, Black English "devolves from a culture that abhors all abstraction" (Jordan 367). Psychiatrist Alvin Poussaint asks, "Is there a way to say metamorphosis in Ebonics?" (O'Malley). Yet, despite Black English's avoidance of nominalization and similar verbosities that afflict academic prose, abstract logical reasoning flourishes in vernacular idiom, as linguist William Labov demonstrated half a century ago. Our aim is not to explain the asymptote in Black English but rather to consider a feature characteristic of those very minority cultures historically underrepresented in math—storytelling—and to ask how it may be foregrounded in mathematics, where it is decisively sidelined. Storytelling has been claimed by every culture and ethnic group at some point as the repository of wisdom, practical skills, religious beliefs, and shared identity and values; but when it gets corralled into the category of "fiction," and when it gets opposed to "fact," a narrowed concept of truth dispatches storytelling to kindergarten and recreational math. Word problems may supply scenarios but offer none of a plot's satisfactions... (shrink)

Abstract A Note to Cogito Les Jones Blackburn College Previous submissions include -Intention, interpretation and literary theory, a first lookWittgenstein and St Augustine A DiscussionAreas of Interest – History of Western Philosophy, Miscellaneous Philosophy, European A Note on Cogito Descartes' brilliance in driving out doubt, and proving the existence of himself as a thinking entity, is well documented. Sartre's critique (or maybe extension) is both apposite and grounded and takes these enquiries on to another level. Let's take a look. (...) 'I think' somehow, for all its power, lacks something. What? Consider what one does when thinking (difficult, but we can try). Implicit in the word 'think', in fact the very essence of the word 'think', is that activity is going on, and if such activity is going on then it must be going on about something, an object, an emotion, a problem,or maybe some dreamlike state, but common to all these is that something is going on. Is that really so? Well, if that wasn't so we would be able to think in a pure state, wouldn't we? But what does a pure state of 'thinking' mean? It can't mean that there isnothing there, because if there were nothing there then no thinking would be taking place. Can it mean that we are thinking of nothing? Well no, because if we are thinking of nothing then we are thinking of something, we are contemplating the notion, or the nature, of nothing. In fact, one can argue that if we talk of something, inthis case nothing or nothingness, then in our head we have some notion of what that is, i.e. something exists in the mind for it to come out of our mouths. Thinking is a recognition of something outside the individual, for the very act of direction, which isan indispensable part of thinking, recognises, must recognise, that there are things to address outside the individual. Something else to bear in mind. According to Sartre human beings are condemned to freedom. Why condemned? Human beings did not choose to be born, but the act ofbeing born also imparts the freedom of which Sartre speaks. Freedom is something which we parrot off as being a sine qua non for the human condition. I believe that's true, but freedom in this sense isn't without its consequences for the individual humanbeing, for individual human beings handle freedom differently. To some it enables them to fly, to others it imparts immense pressures, anguish, heartbreak, unhappiness can all be associated with such freedom. Each individual is responsible for his destiny, for his direction. If someone says that God impelled him, that individual chose his or her God, and chose to obey his or her God. This believer has to sift through the multitude of things that his or her God desire of him or her. All this is fine, so long as we acknowledge what is going on here. Belief in God is, by definition, a belief. Belief, following Wittgenstein, is a language game with its rules and its boundaries. The essential feature of religion as language game are its boundaries, which can be summed up in the word belief. OK, belief has its practises which are its constituent parts, but belief is the boundary between religion and other language games, as the proof constituents are different. Our world is determined by the language used to describe everything that goes on within it. The boundaries of our world are set by the language we use. This might be better put as language gives access to ever expending boundaries. Ever expanding boundaries are only possible by ever expanding thought, and ever expanding thought is only possible by ever expanding directions to our thought brought about through language. It is a fact taken that to be conscious is to think. How could this be otherwise? Consciousness without thought just does not make sense. Imagine a state of consciousness without directional thought. What would it be like? It would be something never experienced, completely out of our understanding. Why? Because understanding itself is a directional thought process. If we say we are going outside our understanding then that is a world of void, and a world of void does not exist. Can such a world be contemplated in our thinking? Well, yes, but then it requires thinking, and thinking requires direction, and such direction requires language. Why does direction require language? Because there is no other way for human beings to articulate a directional thought. Could one point at an image without language? Well, one could have an image in mind, but the essence of saying something about it, of descriptive power, brings us back to the essence, to the power of language to direct. So what of this language of which we speak? Wittgenstein's private language argument points us towards the notion that language itself constantly develops and redevelops through human interaction. Descarte's cogito implies that thinking rules out doubt of one's own existence. But such thinking, to be valid, to make sense, to direct, must develop in a language that has developed, has been verified, by a plurality, by a plurality whose essence is social. Correct use of language symbols, i.e. words, requires that we verify and reverify the accuracy of such symbols. How do we do that? We do that in constant usage, in constant interaction, with other human beings. An individual using a private language could not be understood by others, his symbol system has not been verified by others, his meanings may not be your meanings. It follows from what we have said above that language is constructed, and is continually constructed, in a social context. Given our previous thoughts regarding verification this could not be otherwise. Language has a normative form. All language users are required, by their very use of the language, to verify the use of terms, grammar etc etc. As Wittgenstein cites (appropriately) games as a model, let us take a look. If I play e.g. Ludo, I am governed by the rules. It is not just that I may play dishonestly, for if I were to play at all that very dishonesty, to count as Ludo, would have to be rule governed. The rules of Ludo are Ludo, they are the essence and the constitution of it. Wittgenstein, particularly in his later writings, interweaves many concepts, and connects them in different and sometimes rather elusive ways. Wittgenstein sees concepts like emotions, sentiments and experiences in these interweaving maps. Of course these can be regarded as psychological concepts ** Language can be considered in another but related way, as embodying the elements of a cultural heritage. Language was seen as embodying the notion of higher culture in the arts, architecture etc. Over recent decades this has tended to shift to consider less tangible benefits, such things as oral traditions, cultural values and cultural identity. So language enables us to explore, through the achievements of past generations, cultural mores that may have laid unchallenged for many years. Many of these values and mores may be seen as independent of the language by which they are transmitted, but still this monumental accomplishment of mankind i.e. language, enables man to explore, to modify, to codify, to extend the boundaries of human experience. There are therefore massive implications for our Note on Cogito of Wittgenstein's work. Following Wittgenstein emotions and other psychological concepts can be termed depth grammar, and are distinguished by the fact that the third person of the present is recognised by observation, the first person is not. Taking Wittgenstein's well known pain example the sentence 'He is in pain' is a third person statement of an observational nature. The sentence 'I am in pain' is not derived from observation but from experience, it is an expression of that experience, it's essence is the experience. The asymmetry consists in the fact that predicting psychological attributes of others is warranted by what they do and say. By contrast, the use of such statements in the first person present tense does not rest on one's observation of one's own behaviour. (Hacker 2010:287) p 9 According to Wittgenstein 'I am in pain' is more like a cry of pain, an expression of pain, than a report of some pain. Of course this appertains for other similar statements. 'I feel good' etc. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Painting in Tongues:Faith-Based Languages of Formalist ArtKevin Z. Moore (bio)A philosophical problem is created by the incoherence between the earlier state and the later one.—Ian Hacking, Historical OntologyWhatever is happening to evidence-based treatment? When the facts contravene conventional wisdom, go with the anecdotes?—New York Times, "Science Times," February 14, 2006Cephalopods have a visual language that may be considered artful; humans have written and vocalized languages that are sometimes (...) artful; but it is doubtful that there is such a thing as a "language of art," particularly in the sense that twentieth-century formalists and their critics carelessly speak of one or many. Cephalopods flash color-forms on their hides to communicate intents and emotions, maybe even to project plans. They speak in tattooed tongues through neurologically embossed patterns and color field designs displayed on the skin. The large-eyed sea creatures communicate voicelessly in a visual language of pure color-forms, each species perhaps having its own dialect. Though not a full or official language by any means, their color-forms display the ideal that twentieth-century formalist artists sought to graphically realize (referential and conceptual immediacy, emotional coloring, communication via pure, that is, nonpictorial, form). Formalist inspired artists and their critic-expositors describe abstract pattern-painting as though it were a visual language equal to that of the cephalopod. Yet [End Page 40] although we can reasonably imagine cephalopods getting the correct message by observation, we cannot reasonably imagine observers getting any message at all, let alone the intended message, from abstractionist painting. This casts suspicion on the formalists' claims about visual language. Observers cannot and famously do not get anything "out" of formalist pattern paintings, though they do project quite a lot "into" them. The telling difference between octopus and artist? Cephalopods communicate visually—their survival depends on it. Formalists do not, though the survival and flourishing of their art depends upon the belief that they do.Notably, explanations of what exactly a formalist language of art is goes missing from accounts of sense and reference in the relevant literature, where we learn that this or that painting exhibits this or that language of art but never how this or that painting functions as a language of any sort. The "language of art" phrase, it seems, has the same force as mentioning truth or existence: it explains nothing. Talk of a language of art suggests merely that a painting exhibits a communicative intent; it does not explain how that intent is linguistically mediated. The phrase is ostensive and nominal, not descriptive and expository.Prior to the twentieth century there may have been some justification for this language since art was shaped by objective reference, identifiable codes (sign and symbol systems), and recognizable scenes (compositions) that made painting a language-like public media. Observers could see immediately or "read" paintings by observation as though they were reading a language. Images were shaped by observation; reference was fixed by convention. The formalist revolution in the late nineteenth and early twentieth centuries dismantled the public character of representation in painting. After the revolution, the new art that appeared was a sort of visual humpty-dumptyism, to invoke a language metaphor. Formalist imagery functioned the way words did for Mr. Carroll's Mr. Dumpty: they meant what the artist intended them to mean and not what observation or convention constrained them to mean. Reference and meaning were as arbitrary as the visual forms chosen to bear them. Once a communicative medium, painting became an expressive medium, the values of the latter superseding those of the former wholly or in part. Even when a formalist painting alluded to a conventional arrangement (a landscape or portrait, for example), the composition was as visually parodic of genre as Mr. Carroll's Jabberwocky was verbally parodic of narrative poetry, preserving syntax (form) but not the integrity of the formal agents of communication. Both are forms of nonsense, yet only one intentionally so.Styles of formalism do not facilitate the observation of intended reference; they are not effective forms of communication because they are not languages. If the basic function of a visual art is to communicate a specific... (shrink)

(For the English version, see below) Dieser Band schließt an die "Prozessontologie" von Wolfgang Sohst an. In vorliegenden Buch entwickelt er den Begriff der Emergenz auf der Grundlage einer Schichtenontologie. Kern dieser Theorie ist der Nachweis, dass die Struktur alles Gegebenen (also nicht nur des physischen Universums, sondern auch der irdischen Biosphäre und der aus ihr hervorgegangenen psychischen, sozialen und abstrakten Existenzformen) offen ist; es gibt keine absolute Entwicklungsgrenze der Weltstruktur. Alles Gegebene ist allerdings in Schichten gegliedert, beginnend mit den (...) protophysikalischen Weltzuständen über die quantenmechanische, die makrophysikalische und biologische Ebene bis hin zu den sozialen Strukturen menschlicher Wirklichkeit und den noch über sie hinausgehenden abstrakten Strukturen der reinen Symbolsysteme. -/- Der Begriff der Emergenz spielt hierin eine wichtige Rolle. Seine ideengeschichtliche Entwicklung seit den 1920er Jahren verlief allerdings unglücklich, weil von vornherein auf neue Einzelgegenstände und ihre Eigenschaften fixiert. Dabei ging sowohl die Prozesshaftigkeit der Welt verloren als auch die Einsicht, dass neue Strukturschichten der Welt nicht durch einzelne Gegenstände oder ihre Eigenschaften repräsentiert werden, sondern durch neue Gegenstands-, Zustands- und Prozesstypen. Dieser zunächst unauffällig erscheinende Unterschied zur traditionellen Emergenztheorie eröffnet vollkommen neue Zugänge und Verständnismöglichkeiten zur strukturellen Entwicklung des Weltganzen. (560 Seiten, Hardcover) -/- English version: This volume follows on from Wolfgang Sohst's "Process Ontology". In this book, he develops the concept of emergence on the basis of a layered ontology. The core of this theory is the proof that the structure of everything given (i.e. not only of the physical universe but also of the earthly biosphere and the mental, social and abstract forms of existence that emerged from it) is open; there is no absolute developmental limit of the world structure. However, everything given is divided into layers or strata, beginning with the proto-physical world states over the quantum-mechanical, the macrophysical, and biological level up to the social structures of human reality and the abstract structures of the pure symbol systems still going beyond them. -/- The concept of emergence plays an important role in this. However, its development in the history of ideas since the 1920s was unfortunate, because from the outset it was fixed on new individual objects and their properties. In the process, both the processuality of the world and the insight that new structural layers or strata of the world are not represented by individual objects or their properties, but by new types of objects, states, and processes, were lost. This differs from traditional emergence theory, which at first seems inconspicuous, and opens up entirely new approaches and ways of understanding the structural development of the world as a whole. (560 pages, hardcover). (shrink)

This article is dedicated to the issue of achieving consensus in tabletop role-playing games and also addresses the question of how exactly play­ers gain power over the interpretation of events within a tabletop RPG. A tabletop role-playing game presupposes that its participants constantly articulate statements which shift the current configuration of in-game elements and also play the role of being artistic descriptions of said shifts. The alternation and interplay of performative and descriptive statements, their convolution and also the fact that, (...) in tabletop RPGs, unlike in the majority of the rest of the games known to humanity, the same words from natural languages are used both in order to produce a shift in abstract, symbolic structure of a game, and to artistically describe said shift, all lead to the situation where participants cannot tell a proper symbolic system of a given game from other symbolic systems which this game refers to. In this article, we propose an analytical model of a tabletop RPG which would make it possible to draw stricter borderlines between a given RPG’s fictional world and its inner symbolic structure. Furthermore, it would allow us to formulate a clearer question regarding the structures of power produced while playing an RPG, and what exactly players gain control over while playing it. Moreover, this model would enable us to explore in detail the processes of the individual and collective interpretation of events in a tabletop RPG, and classify facts within said interpretation in relation to whether they are held to be objectively or subjectively true. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:THE PARTY'S OVER (ALMOST): TERMINAL CELEBRATION IN CONTEMPORARY FILM Tony Bartlett Syracuse University Movies are a universal language, and as we approach more and more integrated levels of global economy and communication they increasingly become a universal symbol system. At these levels a modern movie from China orNigeria will display swiftly recognizable sensibilities and situations to any viewer in Europe or the USA, and vice versa. But should (...) we not, therefore, also feel prompted to indicate a universal de-symbolization, if movies along with the modern world reflect constitutive elements of decomposition and collapse. For I would like to suggest in this essay that not only do movies constitute a kind ofplanetary envelope, literally a "film" of collective imaginai references wrapped around the world, but that this "film" is peculiarly apt to dismemberment, to breaking up before our eyes even as it still holds together, to abuilt-in "crisis" that is part ofits very nature. The two films that form a background to these remarks, Natural Born Killers and Pulp Fiction, are, I suggest, movies that set out actively to represent this cinematic crisis. In Adam Smith's The Wealth ofNations (Bk. 2, Vol. 5, 795-97), the grandfather ofmodern capitalism discusses the fate ofthe laborer who leaves arural village in which he is known and his life observed, or "attended to," by others. He moves to a great city where promptly "he is sunk in obscurity and darkness." Smith's concern is not directly to remedy this misery ofthe worker forced to seek employment in the anonymity ofthe city, but to avoid a possible course ofaction he might take. He wishes to divert him from the possibility of joining "a small religious sect," in whose company the newly depersonalized worker will achieve "a degree of consideration which he never had before." 2 Tony Bartlett Adam Smith does not relish the prospect ofthe mushroom growth ofclosed, "unsocial" religious factions within the heart of industrialized political economies, and he proposes two remedies by which the state, "without violence," might correct these tendencies. His proposals are remarkable both for their conjunction ofcertain themes and their prescience. The first is a plan for the imposition of the study of science and philosophy on the middle ranks ofthe poor, for science is "the great antidote to the poison of enthusiasm and superstition." Next to this classic Enlightenment nostrum comes the following: The second ofthose remedies is the frequency and gaiety of publick diversions. The state, by encouraging, that is by giving entire liberty to all those who for their own interest would attempt, without scandal or indecency, to amuse and divert the people by painting, poetry, musick, dancing; by all sorts ofdramatic representations and exhibitions, would easily dissipate, in the greater part of them, that melancholy and gloomy humour which is almost always the nurse ofpopular superstition and enthusiasm. Publick diversions have always been the object of dread and hatred, to all the fanatical promoters ofthose popular frenzies. Here are the movies before the fact. Adam Smith in his charter for emergent industrial capitalism sketches an alliance between education and entertainment that together will prevent any reversion to the darkness ofsmallscale society and its ready excrescence of religious fanaticism. All of the components of cinema aesthetic are assembled in Smith's prophetic vision: cinematography, script, score, choreography, plot, spectacle. The only thing lacking was the technology to capture them together on film, and with the release ofinventive energies attending division oflabor that would only be a matter of time. Cinema is the born ally ofrational modernity, and is in itself the child of industrial alienation and the need to find a mass aesthetic to substitute for the control exercised by the sacred in a traditionally local setting. But, ofcourse, there are several levels ofirony that are not lost on us here. First, Smith says explicitly that the state has a direct interest in such mass entertainment. What then is the relationship between the much prized freedom ofthe creative artist and the very concrete concern for self-preservation on the part ofthe state? He specifies that the people's entertainment must be without scandal or indecency: what now should be said when political leaders... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:American Journal of Philology 127.4 (2006) 607-611MuseSearchJournalsThis JournalContents[Access article in PDF]Reviewed byPaul Allen Miller University of South Carolina e-mail: pamiller@sc.eduThomas Habinek. The World of Roman Song: From Ritualized Speech to Social Order. Baltimore: Johns Hopkins University Press, 2005. x + 329 pp. Cloth, $52.It has become increasingly evident that the texts we study from ancient Rome are embedded objects, implicated in a rich field of symbolic (...) class='Hi'>systems and corporeal practices. The image of the poem as an isolated aesthetic object has become untenable as the field has become dominated by concepts of intertextuality, performativity, social construction, and self-fashioning. The text in books like Tony Corbeill's Controlling Laughter (Princeton 1996) is less an object than an action. Thomas Habinek's The World of Roman Song represents an attempt to make good on the promise of these developments by rethinking the entirety of Roman literature as an embedded social process of "song," of marked speech, that stands at the origins of the Roman social order. Ritual hymns, funereal laudations, convivial play, and comedic performances become so many moments in the constitution of what it means to be Roman, even as conflicts between center and periphery, masculine and feminine, vir and cinaedus are both played out and resisted in the various genres that constitute the world of ritualized speech and its formal derivatives.Any such sweeping endeavor brings with it both a necessary boldness—asking us to rethink the history of Roman culture from a new perspective—and the danger of reductiveness. For the most part, these are dangers that Habinek manages skillfully to skirt through a combination of fine-grained philological analysis and a sophisticated, but never overbearing, theoretical apparatus. The World of Roman Song features close readings of the usage of words such as cano, carmen, dico, ludus, convivia, and sodalis, from their earliest attestations through their appearance in later imperial literature. It also deploys an intellectual armature that draws upon contemporary anthropology, Frankfurt-school Marxism, object-relations psychoanalysis, and the theories of Bourdieu, Bakhtin, and Bataille. Yet, as we shall see, the very methodology that makes this sweeping [End Page 607] and important survey possible—the examination not of texts but of lemmata to trace the memes of Roman self-constitution through formalized language—leads to certain unavoidable distortions. Complex textual systems become reduced to exemplary moments of embeddedness. This reduction is an enabling gesture that like any mode of analysis, however, ultimately produces its own limit.For this reader, the heart of the book is to be found in chapter 4, "Song and Play." Here Habinek traces the relation between three primary sets of terms: dico, dictum, and implicitly dictator, meaning to make an authoritative statement; cano, canto, and carmen, meaning to perform a song (carmen) of one's own (cano), or to repeat that of another (canto), so as to establish a relation between the singer and the constituted social, and ultimately cosmic, whole, via ritualized speech; and ludo, ludus, and lusus, referring to scripted or formalized movements of the body. Thus a poetic ludus, such as that described in Catullus 50 between the poet and Licinius Calvus, would refer not so much to the acts of song (carmina) to which the game of composition gave rise as to the formalized interchange and embodied practice of writing capping verses in different meters in a convivial setting. The previous chapter, "Song and Speech," had established the difference between loquor and dico, with the former referring to unmarked speech and the latter to the making of statements that the speaker asserts as authoritative and hence true. It is thus possible for the terms cano and dico to overlap and those of ludo and cano as well. Nevertheless, the ultimate dream of aristocratic Roman manhood (and, as any number of feminists would point out, of patriarchy as a whole) is for carmen—the ritualized speech that constitutes the community as a living unity—to assume the status of dictum, authoritative speech freed from the... (shrink)

Connectionism and computationalism are currently vying for hegemony in cognitive modeling. At first glance the opposition seems incoherent, because connectionism is itself computational, but the form of computationalism that has been the prime candidate for encoding the "language of thought" has been symbolic computationalism (Dietrich 1990, Fodor 1975, Harnad 1990c; Newell 1980; Pylyshyn 1984), whereas connectionism is nonsymbolic (Fodor & Pylyshyn 1988, or, as some have hopefully dubbed it, "subsymbolic" Smolensky 1988). This paper will examine what is and is (...) not a symbol system. A hybrid nonsymbolic/symbolic system will be sketched in which the meanings of the symbols are grounded bottom-up in the system's capacity to discriminate and identify the objects they refer to. Neural nets are one possible mechanism for learning the invariants in the analog sensory projection on which successful categorization is based. "Categorical perception" (Harnad 1987a), in which similarity space is "warped" in the service of categorization, turns out to be exhibited by both people and nets, and may mediate the constraints exerted by the analog world of objects on the formal world of symbols. (shrink)

Abstract:Sustainable development and built heritage are oft-naturalized hegemonic discourses of the dominant social class. However, under the lens of critical sociomateriality, these categories destabilize—and in Brexit-era London, epicenter of a financial and technological capitalist circulatory space, “all that is solid melts” into the scopal regime of London's View Management Framework (LVMF). Analyzing multiple discourses of Southwark's Strata SE1— billed London's first “sustainable tower”—and adaptive reuse of the historically preserved Lambeth Water Tower, I argue that these structures constitute ‘interface objects’ (...) in a broader relational geography imbricating physical material, social objects, gentrification and the naturalized epistemologies of hegemonic development within London's skyline itself. I offer a reading of critical sociomateriality which illuminates rhythms of daily life within spatial-technological systems of energy provision, urban metabolic processes, as well as “hegemonic premiums,” what Richard Barras terms expected return on symbolic capital vis-à-vis the dominant panopticism of the LVMF. This paper contributes a theorization of critical sociomateriality, operating across a diversity of scales, tactics, and disciplines, analyzing discourses and practices which insinuate politics, artifacts, and technologies across contested issues. Critical sociomateriality is presented as a methodology for deconstructing tactics for inhabiting and interfacing with ‘sustainability’ through London's skyline in an unequal capitalist system marked by dissensus over runaway development, social precarity, and inequality in lived experiences of the urban environment. (shrink)

In this paper a parallel is drawn between the problem of epistemic access to abstract objects in mathematics and the problem of epistemic access to idealized systems in the physical sciences. On this basis it is argued that some recent and more traditional approaches to solving these problems are problematic.

In a world plagued by disagreement and conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible, systems. Do these disagreements admit of resolution? Can such resolution be achieved without disturbing assumptions that the theorems of logic and mathematics state objective truths about the real world? In this original and historically rich book John Woods explores apparently intractable disagreements in (...) logic and the foundations of mathematics and sets out conflict resolution strategies that evade or disarm these stalemates. An important sub-theme of the book is the extent to which pluralism in logic and the philosophy of mathematics undermines realist assumptions. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists. (shrink)

An algebraization of multi-signature first-order logic without terms is presented. Rather than following the traditional method of choosing a type of algebras and constructing an appropriate variety, as is done in the case of cylindric and polyadic algebras, a new categorical algebraization method is used: The substitutions of formulas of one signature for relation symbols in another are treated in the object language. This enables the automatic generation via an adjunction of an algebraic theory. The algebras of this theory are (...) then used to algebraize first-order logic. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Different Paths, Different Summits: A Model for Religious PluralismJohn B. Cobb Jr.Different Paths, Different Summits: A Model for Religious Pluralism. By Stephen Kaplan. Lanham, MD: Rowman and Littlefield, 2002. Pp. xi + 187.Those of us who believe that religious traditions are radically different from one another are divided between two camps. One camp holds that they are simply incommensurable. Participants in this camp often emphasize the decisive (...) importance of language. They may argue that each language creates its own world within which every part of the symbolic system has its meaning in its relation to other parts of the system. Since language does not refer to a nonlinguistic reality, there is no possibility of translation among languages.Some who recognize the possibility of translation for some parts of the linguistic systems still reject any such possibility in the sphere of religion. It is in this sphere that the denial that language has nonlinguistic reference is most firmly insisted upon. It is urged that each religious system is simply what it is.The second group, the one to which I belong, holds that religious language does have referential character, and that dialogue, although complex and difficult, is possible and fruitful. But against those who hold that all religions are speaking, in their very diverse ways, of the same reality, we hold that the reality to which reference is made is multiple or diverse. It is our belief that the concrete and detailed study of religious experience and of the language through which it comes to expression enables us to distinguish these diverse references.To the best of my knowledge, Stephen Kaplan has written the first book-length argument in favor of this view. He entitles it, quite appropriately, Different Paths, Different [End Page 367] Summits. The contrast, of course, is with the common image of different paths up a single mountain to the same summit.Those of us who take this approach do not believe that every religious path leads to a different summit. Whether two paths lead to the same or different summits is to be decided on the basis of careful study of the traditions that follow these paths. Kaplan develops a threefold typology. One path is that of the theists, who seek communion with God. Another is that of Advaita Vedānta, which aims at final identity with the changeless real. A third is that of many forms of Buddhism, which seek to realize the wholly processive and interconnected character of all reality including the self.Kaplan rightly emphasizes his agreement with those who stress the importance of language and culture in shaping religious experience as well as its articulation. He does not take this to mean that we cannot discern families of experience, such as the experiences of those who seek communion with God. The experiences of those with this goal in diverse traditions differ in their imagery. The language used to speak of the experience is that of a particular community. But the judgment that what constitutes experience in multiple communities is theistic reality fits many of them. There are thus several paths to the same summit. But not all religious paths are directed to this theistic summit.Kaplan understands that a main objection to this radical religious pluralism is the deep-seated assumption that reality cannot have more than one fundamental character. If it is theistic, then the Hindu and Buddhist versions are in error. If either of them is correct, then all differing views are illusory. To adopt a radical pluralism is, then, in principle, to force a profound choice among religious traditions, holding that two out of three groups of traditions fail to provide paths up any mountain at all.Kaplan responds to this objection thoughtfully and thoroughly. He finds in David Bohm's holographic model a clue to how three very different views of reality may all be justified by one reality. Bohm holds that the hologram illustrates and embodies the distinction between the implicate and the explicate orders. The implicate order is represented by the plate on which are inscribed the results of laser beams. When these are projected they give rise to an explicate order of... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Ad Infinitum: The Ghost in Turing’s Machine: Taking God Out of Mathematics and Putting the Body Back InTony E. JacksonAd Infinitum: The Ghost in Turing’s Machine: Taking God Out of Mathematics and Putting the Body Back In, by Brian Rotman; xii & 203 pp. Stanford: Stanford University Press, 1993, $39.50 cloth, $12.95 paper.Brian Rotman’s book attempts to pull mathematics—the last, most solid home of metaphysical thought—off its (...) absolutist foundations and into the roiling current of postmodernism. His argument works in what has by now become a rather standard manner. He shows how the grounding ideas of mathematics rest upon the insupportable assumption of a realm of absolute truth, “truth perfect, truth outside time, outside space, outside the material world of matter, energy, and entropy, truth somehow able to be discovered or apprehended but never invented” (p. 19). Rotman questions this Platonic grounding in a number of ways.First, with the help of linguistics (de Saussure, Benveniste, Wittgenstein, and Peirce) he provides a semiotic analysis of mathematical arguments as real-world linguistic events. Proof he looks at “not as a form of inference engaged in preserving eternal truths, but as an historically conditioned species of rhetoric” (p. 35). Secondly, Rotman argues that one idea has most secured the fortress-like solidity of mathematical Platonism: the idea of ad infinitum or infinite iteration. Mathematics takes off from the givenness of the natural numbers, our everyday 1, 2, 3 and so on to infinity. It is the “so on to infinity” that frames up the house of arithmetic as it has stood since Euclid. (Euclidean in this context is equivalent to Platonic in the context of philosophy.) But what is the referent of these numbers? Ultimately they are said to be the symbolic representation of the action of counting, which is the “mathematical ur-cognition” (p. 51). And yet we cannot imagine any material human situation in which counting could actually go on to infinity. Therefore, some impossible, supernatural agent (the ghost of the title) must be projected in order for this conception to exist. Similarly, Rotman argues against the assumption of “perfect repeatability” because this notion depends upon some purely imaginary, ideal identity of object or action that could possibly be repeated. Ad infinitum requires and assumes both a disembodied, metaphysical counter and a disembodied, metaphysical counted.So Rotman sets about putting the body back into this symbolic system by rejecting the idea of ad infinitum. Instead of assuming the existence of counting activities that run, in principle, out to infinity without changing their nature, Rotman posits what he calls “realizable iteration,” that is, counting that admits the necessary dissolution or change of whatever repetitive function you begin with. Put simply, he includes the fact that quantitative accumulation or repetition always eventually brings about a qualitative change: at some point in everyday life a difference of degree of the “same” thing or action inevitably becomes a difference of kind. The natural numbers and the ad infinitum [End Page 390] remain blissfully sheltered from this inescapable real world truth, but Rotman reformulates mathematics so as to include this truth in the very idea of numbering.In fact (and he acknowledges this) he theorizes counting after the model of chaos or complexity theory in the physical sciences. Realizable iteration, he says, will bring in the “qualitative differences” forgotten or repressed (the language of Nietzsche, Heidegger, and Freud runs throughout) in the metaphysical version of number, and “display [the qualitative differences] as the emergent effects of repetition” (p. 131). Even numerical addition, for instance, which had been the most linearly continuous of activities, now will be linear beginning from some initial point, but will become increasingly nonlinear as quantitative increase tends towards some point of qualitative discontinuity with what had come before. The point of discontinuity, though certain to appear, is by its nature not specifiable beyond a horizon of probability, and in this, Rotman aligns his arithmetic not only with chaos theory, but also with quantum mechanics. In an appendix, Rotman elaborates at least to a degree the “pre-elements” of his non-Euclidean arithmetic.As chaos theory does not destroy everyday cause... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:FOR A NON-VIOLENT ACCORD: EDUCATING THE PERSON Marie-Louise Martinez Education has been criticized, no doubt justly, for the symbolic violence of its prohibitions and exclusionary rituals that mirror the violence of society (Bourdieu, etc.). But this criticism is short-sighted. When restraints are removed in teaching and education (in the family and in the school), violence wells up anew and produces at least the following two results: access (...) to meaning and knowledge is restricted; access to the law and its structure-inducing prohibitions is restricted. The result is that we foster vulnerable personalities who confuse fiction and reality, and who do not hesitate to turn their violence into acts of hostility directed toward themselves, other people, and society. A further consequence has been a certain violent non-differentiation that has tended in turn to produce a violent re-differentiation ofsociety. There is a nostalgia everywhere today for a return to discipline, to the rule oflaw, etc. One hears talk of the "sanctuary of the classroom" or again of the necessity of preserving a "symbolic cloister." We are not able, purely and simply, to feel remorse for having maintained the rule ofa violent symbolic order. One might ask in what the symbolic consists. How is it connected to teaching and education? Is there not a fundamental violence in the symbolic? Does there exist a less violent symbolic, or even a non-violent one? How might one define it and put it to work in teaching and education? Girardian theory can help us to reinterpret various contributions from a number of authors in the human sciences (Benveniste, Lacan, etc.) and from the personalist philosophy of language. I would like to propose the hypothesis that there are two stages ofthe symbolic: first, a violent symbolic accord and, second, a non-violent threshold within the symbolic, which alone can serve as an appropriate model for teaching and education. 56Marie-Louise Martinez I. The symbolic and its powers. We are not using symbolic in its specific sense as metaphorical or figurative language as it occurs in myth and poetry but in a more general sense, i.e., to refer to the totality ofthe sign and code systems employed by human beings, as that which allows for the production and deployment of significations within society. Stemming from the Greek symbolein (to throw or put together, to assemble), the symbolic is that type or order of signs that assembles. Much more than the pure language of linguistics, the symbolic is the totality ofverbal, non-verbal, and para-verbal conventions, of systems ofexchange, and ofrites. It also comprises the regulated use ofbodies and ofnature. Our definition ofthe symbolic is not idealist: more than simply the expression of ideas, it is also interaction and action, on oneself, on others, and the world. It includes technical and bodily activities to the degree that these have been codified. In this sense, the symbolic (in agreement with philosophers as diverse as Cassirer or Clifford Geertz) can be said to embrace the totality of what is called culture. But ifthe symbol throws orputs together, it is necessary to discuss what and why and how it does so. The modern science ofsigns (semiology) has shown that the sign or symbol serves to place in relation. Relying on the contemporary semiology that stems from the American philosopher Pierce, and also on the work of Francis Jacques in France, we can say that this relation, far from being a simple binary one (sign/referent or sign/signifier) is a complex relation which aligns signs with the objects to which they refer, but also with the people deploying those signs. This latter signifying relation, which is intersubjective and social, was invisible in Saussurean semiology. In itself, the symbolic is the product of a complex relation which links people among themselves and the things referred to by the agency of signs. In other words, the basis of the signifying relationship is not the dyad subject/object (relation to objects) but a triadic relation, subject/ subject/object (intersubjective and objectai). This triangular relationship, which traverses the intersubjective and the objectai, is a relationship of convention, underlined in antiquity by Plato in the Cratylus (for Hermogenes, a word... (shrink)

In this paper, the author shows how one can independently prove, within the theory of abstract objects, some of the most significant claims, hypotheses, and background assumptions found in Kripke's logical and philosophical work. Moreover, many of the semantic features of theory of abstract objects are consistent with Kripke's views — the successful representation, in the system, of the truth conditions and entailments of philosophically puzzling sentences of natural language validates certain Kripkean semantic claims about natural language.

This short paper will discuss the background to the special issue through a consideration of the basic knowledge representation issues in AI. We will briefly introduce the symbolic and sub-symbolic representations which are traditionally associated with AI, before noting the socially constructed views of knowledge with which they are at odds and the techniques for knowledge elicitation which they use. This forms the context against which this special issues sits, highlighting the broad view of knowledge elicitation and representation (...) and the issues that they raise which we feel are important to debate in the discipline. By gathering this set of papers together, we hope to encourage researchers to see the value in differing approaches and to encourage a more synthetic view of the discipline, where contributions and insights from different perspectives may be of use. (shrink)

The aim of the paper is to answer some arguments raised against mathematical structuralism developed by Michael Resnik. These arguments stress the abstractness of mathematical objects, especially their causal inertness, and conclude that mathematical objects, the structures posited by Resnik included, are inaccessible to human cognition. In the paper I introduce a distinction between abstract and ideal objects and argue that mathematical objects are primarily ideal. I reconstruct some aspects of the instrumental practice of mathematics, such as symbolic (...) manipulations or ruler-and-compass constructions, and argue that instrumental practice can secure epistemic access to ideal objects of mathematics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 34.1 (2001) 1-20 [Access article in PDF] On the Hegelian Sublime: Paul de Man's Judgment Call Martin Donougho In recent years, the sublime has become a focus of renewed interest in philosophy and literary theory, despite being (perhaps in part because it is) "the most confused and confusing notion of the time" (Honour 1977, 145). 1 Much of the interest has been directed at the (...) Kantian account and the long tradition stemming from it. By contrast, little attention has been paid to G. W. F. Hegel's version of the sublime, whether of the phenomenon itself or of its conceptualization. That is natural enough, it might be thought, given the marginal place accorded the sublime in Hegel's scheme of things--he simply was not interested. Yet, that very marginality is of interest, if we follow the lead of the subtlest of commentators, Paul de Man, in his essay "Hegel on the Sublime" (1983). As de Man reads and diagnoses it, Hegel's marginalizing of the sublime (much as with the section on symbolics or, indeed, aesthetics tout court) serves the interests of an aesthetic ideology. The gesture of putting the sublime aside in fact reveals more about the philosopher's system than is found in his express doctrine, de Man insists. The sublime, like Hegel's allegory, should then be read symptomatically, as the "defective cornerstone" of the entire system. 2 In this essay, I have two aims: besides explicating Hegel's theory of the sublime on its own terms, I try to assess de Man's reading of Hegel's rhetorical strategies.Even if de Man's charges fail--as I argue they do--his approach to Hegel remains, I think, full of insights. The sublime, it might well be thought, betokens the same penetration of an objective field by subjective theory that (for Heidegger and others) is at issue with Western metaphysics as a whole; a prime instance of this would be Hegel's own allegedly masterful project, including his attempt at an aesthetic system. So understood, "on the sublime" would translate as over the sublime, that is, in a bid to enframe and control discourse about "the most high" or "great writing" (see Longinus). 3 And then we might ask, for example, what Hegel is doing [End Page 1] when he consigns the sublime to a minor role, or when he instead gives the classical Ideal star billing. How exactly does he stage his discourse about art?Oddly enough, Hegel's sublime is not at all part of the main theoretical line stemming (if only in retrospect) from Immanuel Kant. That line might be dubbed "the Romantic sublime"--the title of an influential book by Thomas Weiskel, which appeared posthumously in 1976--or, alternatively, "the Yale sublime," in honor of an entire group (which includes Geoffrey Hartman and Harold Bloom) who wrote about the tendency of Romantics such as William Wordsworth and Ralph Waldo Emerson to invest themselves in their topic. 4 Kant himself points to a possible illusory move he labels subreption. Here--to apply a useful distinction Peter de Bolla (1989) draws--we have not just a discourse on, but also a discourse of the sublime. 5 The discourse of the sublime produces the very category it is meant to analyze, hence providing a space for "experience" of the sublime. A boot-strapping process induces a "subject-effect," calls forth a subject position. The remarkable thing is that--although he is said at sixteen to have made a translation of Longinus 6 and although he was, of course, familiar with the whole Kantian approach, which in many respects should have been congenial to him--Hegel stands apart from this "Romantic," or "hermeneutic," sublime. He does not at all give the appearance of staging readings in the manner sketched above, but instead adopts a distanced, disinterested perspective on the phenomenon.Even so, his aesthetic system might be accused of framing a discourse on the sublime, which, through seeking dialectical profit on its investment, shades into a discourse of the sublime. Thus, de... (shrink)

The invention of symbolic algebra in the sixteenth and seventeenth centuries fundamentally changed the way we do mathematics. If we want to understand this change and appreciate its importance, we must analyze it on two levels. One concerns the compositional function of algebraic symbols as tools for representing complexity; the other concerns the referential function of algebraic symbols, which enables their use as tools for describing objects (such as polynomials), properties (such as irreducibility), relations (such as divisibility), and operations (...) (such as factorization). The reconstruction of both the compositional function and the referential function of algebraic symbols requires the use of different analytic tools and the taking of different temporal perspectives. In this chapter, we offer both: a reconstruction of the compositional function of algebraic symbols, and a reconstruction of their referential function. (shrink)

Principia Logico-Metaphysica contains a foundational logical theory for metaphysics, mathematics, and the sciences. It includes a canonical development of Abstract Object Theory [AOT], a metaphysical theory that distinguishes between ordinary and abstract objects. This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL. Initial experiments within this framework reveal a crucial but overlooked fact: a deeply-rooted and known paradox is reintroduced in AOT when the logic of (...) complex terms is simply adjoined to AOT’s specially formulated comprehension principle for relations. This result constitutes a new and important paradox, given how much expressive and analytic power is contributed by having the two kinds of complex terms in the system. Its discovery is the highlight of our joint project and provides strong evidence for a new kind of scientific practice in philosophy, namely, computational metaphysics. Our results were made technically possible by a suitable adaptation of Benzmüller’s metalogical approach to universal reasoning by semantically embedding theories in classical higher-order logic. This approach enables one to reuse state-of-the-art higher-order proof assistants, such as Isabelle/HOL, for mechanizing and experimentally exploring challenging logics and theories such as AOT. Our results also provide a fresh perspective on the question of whether relational type theory or functional type theory better serves as a foundation for logic and metaphysics. (shrink)

Principia Logico-Metaphysica contains a foundational logical theory for metaphysics, mathematics, and the sciences. It includes a canonical development of Abstract Object Theory [AOT], a metaphysical theory that distinguishes between ordinary and abstract objects.This article reports on recent work in which AOT has been successfully represented and partly automated in the proof assistant system Isabelle/HOL. Initial experiments within this framework reveal a crucial but overlooked fact: a deeply-rooted and known paradox is reintroduced in AOT when the logic of complex (...) terms is simply adjoined to AOT’s specially formulated comprehension principle for relations. This result constitutes a new and important paradox, given how much expressive and analytic power is contributed by having the two kinds of complex terms in the system. Its discovery is the highlight of our joint project and provides strong evidence for a new kind of scientific practice in philosophy, namely, computational metaphysics.Our results were made technically possible by a suitable adaptation of Benzmüller’s metalogical approach to universal reasoning by semantically embedding theories in classical higher-order logic. This approach enables one to reuse state-of-the-art higher-order proof assistants, such as Isabelle/HOL, for mechanizing and experimentally exploring challenging logics and theories such as AOT. Our results also provide a fresh perspective on the question of whether relational type theory or functional type theory better serves as a foundation for logic and metaphysics. (shrink)

There has been much discussion recently about the scope and limits of purely symbolic models of the mind and about the proper role of connectionism in cognitive modeling. This paper describes the symbol grounding problem : How can the semantic interpretation of a formal symbol system be made intrinsic to the system, rather than just parasitic on the meanings in our heads? How can the meanings of the meaningless symbol tokens, manipulated solely on the basis of their shapes, be (...) grounded in anything but other meaningless symbols? The problem is analogous to trying to learn Chinese from a Chinese/Chinese dictionary alone. A candidate solution is sketched: Symbolic representations must be grounded bottom-up in nonsymbolic representations of two kinds: iconic representations, which are analogs of the proximal sensory projections of distal objects and events, and categorical representations, which are learned and innate feature-detectors that pick out the invariant features of object and event categories from their sensory projections. Elementary symbols are the names of these object and event categories, assigned on the basis of their categorical representations. Higher-order symbolic representations, grounded in these elementary symbols, consist of symbol strings describing category membership relations. Connectionism is one natural candidate for the mechanism that learns the invariant features underlying categorical representations, thereby connecting names to the proximal projections of the distal objects they stand for. In this way connectionism can be seen as a complementary component in a hybrid nonsymbolic/symbolic model of the mind, rather than a rival to purely symbolic modeling. Such a hybrid model would not have an autonomous symbolic module, however; the symbolic functions would emerge as an intrinsically dedicated symbol system as a consequence of the bottom-up grounding of categories ' names in their sensory representations. Symbol manipulation would be governed not just by the arbitrary shapes of the symbol tokens, but by the nonarbitrary shapes of the icons and category invariants in which they are grounded. (shrink)

The Civil Code of Lithuania (1964), in force until 2000, did not regulate the objects of civil rights, thus Chapter V of Part III of Book I of the Civil Code of Lithuania is a significant novelty. Several approaches to an abstract definition of the objects of civil rights still exists in the legal doctrine: whether the object of civil rights and the object of the civil relationship coincide; is the object of civil rights an element of the civil (...) relationship and can separate objects (e.g. actions) be considered as the objects of civil rights. Some authors consider such discussion useless to the practical implementation of the law, however, other authors emphasise that the lack of attention of the theory to this subject causes methodological problems while analysing the functional and systemic links among different types of civil relationships. Therefore, the purpose of this research is to analyse the link between the concepts of the object of civil rights and the object of civil relationship, the link between the objects of civil rights and property objects and the types of objects of civil rights in order to reveal the system of objects of civil rights. The subject-matter of the research is the analysis of legal regulation and legal doctrine of the objects of civil rights and their types and their interrelation with the property objects in order to identify the abstract definition of the object of civil rights and examine the system of objects of civil rights. (shrink)

Human participants and recurrent (“connectionist”) neural networks were both trained on a categorization system abstractly similar to natural language systems involving irregular (“strong”) classes and a default class. Both the humans and the networks exhibited staged learning and a generalization pattern reminiscent of the Elsewhere Condition (Kiparsky, 1973). Previous connectionist accounts of related phenomena have often been vague about the nature of the networks’ encoding systems. We analyzed our network using dynamical systems theory, revealing topological and geometric (...) properties that can be directly compared with the mechanisms of non-connectionist, rule-based accounts. The results reveal that the networks “contain” structures related to mechanisms posited by rule-based models, partly vindicating the insights of these models. On the other hand, they support the one mechanism (OM), as opposed to the more than one mechanism (MOM), view of symbolic abstraction by showing how the appearance of MOM behavior can arise emergently from one underlying set of principles. The key new contribution of this study is to show that dynamical systems theory can allow us to explicitly characterize the relationship between the two perspectives in implemented models. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 8.4 (2001) 323-326 [Access article in PDF] The Tacit Dimension Thomas Fuchs Thirty years after its appearance, Blankenburg's "Psychopathology of common sense" has not lost its relevance. In my commentary I will try to illustrate the fruitfulness of his approach by pointing to some connections with the phenomenology of the body as well as with recent memory and infant research.As Blankenburg himself indicates, the (...) notion of common sense developed by a shift of meaning from the classical sensus communis and thus has its original basis in the sensual-bodily experience. By the koinè aísthesis, Aristoteles meant a central sense organ integrating all single modalities of sensation (which he localized in the heart). In German physiology and psychiatry of the nineteenth century, the sensus communis was still translated as "Gemeingefühl" ("common feeling") or "cenesthesia" (Fuchs 1995). This term denoted the inner, proprioceptive bodily sensations, but also an original unity of the senses, which has been rediscovered by recent infant research as intermodal sensory perception. The affection of the body was thus regarded as the common basis of all sensation.Looking on this track for a bodily basis of the common sense, we find it in the habitual structure of the lived-body as analysed by Merleau-Ponty (1945). The body is the primary "matter-of-course," namely, the tacitly functioning medium of our everyday being-in-the-world prior to any subject-object split. The body schema, in Merleau-Ponty's view, is not only a system of familiar units of movement or "kinetic melodies," it also incorporates the surrounding things, tools, and spaces that are familiar to us and that we "inhabit." Thus, the musician "does not only manipulate the instrument like a separate object, but lives in it like a limb and inhabits the expressive musical space it opens" (Behnke 1997). But for Merleau-Ponty, the body schema is also the basis of "intercorporeity," i.e., a prepersonal sphere of reciprocal comportment and understanding prior to any explicit consensus and symbolic communication. In this sphere of elementary contact, the "atmospheric" senses play a major role: The sense of smell (as shown, e.g., by the expression "to scent treason" or in German, "jemand nicht riechen können" [not be able to "smell" or stand someone]) as well as the sense of taste whose ambiguous meaning, mentioned by Blankenburg, points to the bodily basis of the feeling for what is suitable, decent, or aesthetically pleasing. Even the designation of homo sapiens that we give to ourselves is derived from the latin sapere (to taste/to know), and thus shows that the knowledge characteristic for man is not an explicit one, but an intuitive, implicit knowing or "feel" for his surroundings, or as Kant says, an "aesthetic rather than intellectual judgment" (cited by Blankenburg).Polanyi (1967) has analysed this knowledge at the roots of common sense as "tacit knowledge." It is based on processes of Gestalt formation that enable us to grasp unified wholes through their constituting elements without still being aware of the latter. Thus, we understand the facial expression of others immediately but cannot tell from which details. Or we know how [End Page 323] to waltz without knowing the single movements or being able to explain it. Tacit knowledge implies all the taken-for-granted that we have forgotten once it has become our second nature and part of our bodily habits. It is mainly based on the neuronal coupling of single sensori-motor units by repeated perception or action. This unconscious knowing has only recently come to be explored by psychology under the heading of "implicit" or "procedural memory" (Schacter 1987, 1996). It contains familiar styles or "melodies" of moving, perceiving, and being-with-others in which our whole bodily and emotional experience is engaged. There is an atmospheric, "felt" quality about them that cannot be analysed into single elements. Implicit knowledge may, therefore, never be wholly expressed by words—it is only realized in the concrete situation. It may only be circumscribed by expressions such as "how it feels...," "how it is...," e.g., how it is... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 117 of both. He is free to turn from things to their ideas, from objects to concepts. This turn is the soul's movement towards itself and the noetic. It is free from empirical reality; its reflections start from hypotheses making use of the sensible as symbol only. In this way it links the sensible to the intelligible and forces, so to speak, their relation to each (...) other. This type of life is conscious of itself as its own inner activity but it suffers from the dualities of its world and does not make the effort to transcend them. Thus it is "mixed," torn between good and bad and remains in time. To reach the "pure life" or consciousness of being, man has to abandon any relation to the sensible world. For man, as Plotinus says, participates in being, he is being. Real life is the life of the loges and of eternity and the noetic part of his soul reawakens his consciousness of these. When all "outer voices" are stilled, freed from the elements of perception, belief and reflection (dianoia), the soul follows the loges. In its ascent to Nous and the One dialectics is its helper and leads it to the insight that thought, life, and being are identical and that this identity is the lifegiving force to all else. The final aim and the highest experience of the soul is its union with the One. The means towards this are the soul's catharsis through the virtues, its fulfillment through science and knowledge, and its striving (eros) toward the beautiful and the Good. The wise man is the one who travels this, of necessity, solitary road. He alone has the strength and the will to turn all the powers of his soul into such intense noetic activity that what his soul once knew and forgot is restored to it in the vision of the identity of subject and object, of the beholder and what he beholds, of itself with the One. This is the mystic ecstasy, the unity of the human with the divine, which Plotinus describes as the "flight of the alone to the alone." It is life in truth and its highest bliss. Mr. Kostaras' look at the last of the great classical thinkers is a fruitful and refreshing one. By placing the concept of life at the center of Plotinus' thought, it seems to me, that he places man there also. All great philosophy starts from the life of man and after all its meanderings comes back to where it began. And since all systems are relative to certain purposes, is Plotinus' metaphysics a means towards helping man to find his true being? Is it a framework within which man is able to reach a degree of awareness undreamed of before in Greek philosophy, making it possible for him to experience the "eternal Now" within the succession of fleeting moments, to have an unclouded vision (theoria) of being in the midst of becoming, of the divine at the heart of the human? Once man has reached this experience, he is no longer in need of the metaphysical framework and the question of its objective validity becomes quite irrelevant. Mr. Kostaras does not commit himself to this view, but this reader wishes that he had. RIA STAVRIDES Temple Buell College Themes of Islamic Civilization. By John Alden Williams. (Berkeley and Los Angeles: University of California Press, 1971. Pp. viii+382. $11.75) There are few published anthologies on Islamic civilization. Most of the available books on this topic are straightforward descriptive analyses of the intellectual development of Islam; the majority of these books tend to be repetitious in content. What is unique, however, about J. A. Williams' Themes of Islamic Civilization is the methodological approach adopted by the author. The editor has compiled for the reader a number of essays, drawn from various Islamic writings such as history, philosophy, 118 HISTORY OF PHILOSOPHY jurisprudence, ethics, poetry. Most of the compiled essays have been carefully edited and well translated from Arabic into English for the first time. Also included in this reader are the editor's numerous commentaries which help to shed much light... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Transcendence, Immanence, and Ultimacy: The Theological Adequacy of Religious NaturalismJeffrey B. Speaks (bio)I. IntroductionIn the Introduction of Volume II of his Systematic Theology, Paul Tillich positions his “self-transcendent” and “ecstatic” conception of God as a via media that moves beyond the conflict of supranaturalism and naturalism.1 While Tillich’s rejection of Supranaturalism (i.e., God as a being, or the highest being) and more aggressively reductive forms of naturalism (i.e., (...) eliminative materialism) is not surprising, ST:II has remained a challenging piece for the religious naturalist due to Tillich’s rejection of non-reductive, religious forms of naturalism (as well as pantheism) as theologically insufficient. For Tillich, even a religious naturalism that claims God is “identical with natura naturans, the creative nature, the creative ground of all natural objects” is objectionable because it “denies the infinite distance between the whole of finite things and their infinite ground, with the consequence that the term ‘God’ becomes interchangeable with the term ‘universe’ and therefore is semantically superfluous.”2 For the religious naturalist who has taken seriously Tillich’s claim that the object of religious concern should be something ultimate (i.e., the religious ultimate should also be metaphysically ultimate), this critique has the potential to be devastating by leaving the religious naturalist open to the charge of idolatry. Clearly, the challenge that Tillich raises to religious naturalism must be explored, wrestled with, and answered.The central problem that Tillich raises is that of transcendence—namely, that to qualify as metaphysically and religiously ultimate the referent of the word “God” must infinitely transcend the finite creature. How is it possible for a religious naturalism to register infinite transcendence (whether it uses the language of God or not) in what is often considered to be a radically immanentist theology? To establish the theological adequacy of religious naturalism, it is necessary to clarify what are religiously significant conceptions of transcendence and establish a metric by which varieties of religious naturalism can be evaluated. [End Page 44]The first section of this article will unpack Tillich’s conceptions of supra-naturalism, naturalism, and ecstatic/self-transcendent theism to clarify his critique of religious naturalism and explain why Tillich thinks infinite self-transcendence is necessary for a theologically satisfactory religious ultimate. The second section of this article will develop a conceptual framework for evaluating dimensions of transcendence within a religious naturalist metaphysical system. It will establish immanent transcendence as a vague comparative category, within which are three dimensions of transcendence at play: axiological self-transcendence, conceptual transcendence, and ontological transcendence. The three dimensions provide a framework for evaluating a religious naturalist philosophical theology: high scores in all three dimensions show that metaphysics registers a greater degree of transcendence. The third section of the article will test the evaluative framework on a test-subject, by examining the role of transcendence in Donald A. Crosby’s Religion of Nature.3 It will be shown that Crosby’s metaphysics show a great deal of promise in the dimensions of axiological self-transcendence and conceptual transcendence, but cannot register the degree of ontological self-transcendence that Tillich thinks an adequate religious ultimate requires.II. Paul Tillich’s Self-Transcendent TheismIn between the publication of the first and second volumes of his Systematic Theology, Tillich faced substantial criticism over the doctrine of God developed in the first volume: namely, that God is to be identified as being-itself, and beyond this statement “nothing else can be said about God as God which is not symbolic.”4 In the second volume, Tillich hoped to shed new light on his conception by reframing his God as being “beyond naturalism and supranaturalism,” or as “[overcoming] the conflict of naturalism and supranaturalism.”5 As Tillich’s terminology is somewhat idiosyncratic (e.g., supranaturalism), it behooves the reader to carefully determine what Tillich means by these terms in order to properly identify why his ecstatic conception of God overcomes this conflict.Tillich defines supranaturalism as the belief that God is the highest being. “In this position [God] has brought the universe into being at a certain moment... governs it according to his plan, directs it toward an end, interferes... (shrink)

We propose a formalization of Meinong's theory of objects with the help of Hilbert's $\epsilon$-symbol and a paraconsistent logical system, with an eye towards its application in an axiomatization of the natural sciences.

Abstract This paper addresses the role that argumentation schemes and argument visualization software tools can play in helping to find and counter objections to a given argument one is confronted with. Based on extensive analysis of features of the argumentation in these two examples, a practical four-step method of finding objections to an argument is set out. The study also applies the Carneades Argumentation System to the task of finding objections to an argument, and shows how this system has (...) some capabilities that are especially useful. Content Type Journal Article Pages 1-23 DOI 10.1007/s10503-012-9261-z Authors Douglas Walton, Centre for Research in Reasoning, Argumentation and Rhetoric (CRRAR), University of Windsor, 2500 University Ave. W., Windsor, ON N9B 3Y1, Canada Journal Argumentation Online ISSN 1572-8374 Print ISSN 0920-427X. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 63.3 (2002) 521-537 [Access article in PDF] Two Routes "to Concreteness" in the Work of the Bakhtin Circle Craig Brandist In 1918 the young Georg Lukács published an obituary of the last major Baden School neo-Kantian Emil Lask in which the latter's varied work was commended for being "underlain by an essential common drive [Drang]: the drive to concreteness." 1 This "drive" (...) was especially problematic, however, in the work of thinkers overtly committed to neo-Kantianism, a doctrine that was in its own time a byword for abstruseness and academic abstraction. Just how concrete could a neo-Kantian idealism become without abandoning its core insistence that the world is "produced" by indwelling categories of mind? Lask pursued this problem with a thoroughness unmatched by any other German neo-Kantian, and in doing so he became an important influence on, among others, Lukács, Max Weber, and Martin Heidegger. This article discusses the prevalence of the same "drive" in the varied work of those Russian champions of neo-Kantianism, the Bakhtin Circle, where "concreteness" is invoked so frequently that it almost begins to take on the character of a mantra. The case of the Bakhtin Circle is especially illustrative because the "drive to concreteness," which all members of the Circle shared, resulted in a significant difference of opinion about the extent to which the central theses of neo-Kantianism can be salvaged. Like Lask, Bakhtin was particularly keen to maintain the core of neo-Kantian ideas, while Voloshinov and, following behind him, Medvedev, were much less averse to breaking with the central project of German idealism itself. In each case the Brentanian notion of intentionality, the doctrine that consciousness is always consciousness of something, plays a central role. Consciousness exists in acts directed towards objects, existent or otherwise, that are given to consciousness. Brentano and his followers were invariably anti-Kantian, and they were extremely hostile to the central tenet of neo-Kantian idealism, that objects of consciousness are "produced" from categories dwelling in a transcendental [End Page 521] "consciousness in general" (Bewusstsein überhaupt). While it is far from certain that Brentanian and Kantian principles are incompatible at every level, there is no doubt that any attempt to integrate the notion of intentionality into neo-Kantianism was going to threaten the basis of neo-Kantianism as such. 2 As Gabriel Motzkin notes, Lask's attempt to carry such a project through to its logical conclusion ultimately led to "the destruction of the neo-Kantian empire from within." 3 The Bakhtinian project led in precisely this direction, and this article examines the way in which the work of the Circle shows distinct and ultimately incompatible responses to the crisis of the "empire." Revising neo-Kantianism: Ernst Cassirer and Emil Lask The abstract, or what Bakhtin terms the "theoretist," character of neo-Kantianism derived from two fundamental and interrelated features. The first was a principled opposition to all distinctions between cognition and perception, and the second was an identification of subjectivity with the system of objectifying functions that have their true being in cultural documents. According to neo-Kantian principles, nothing is "given" and everything is posited in an act of subjective spontaneity: objects are constituted from transcendental categories dwelling in "pure consciousness." Summing up the philosophical project of Hermann Cohen, the leader of the Marburg School, Ernst Cassirer noted that "any appeal to a merely given should fall aside; in place of every supposed foundation in things there should enter the pure foundations of thinking, of willing, of artistic and religious consciousness." 4Though seeking to broaden his own enquiry beyond the "trichotomy of the Kantian Critiques," Cassirer, the last major Marburg neo-Kantian, remained wedded to the neo-Kantian project of deriving the transcendental preconditions of the "formations" in which the "objective spirit... consists and exists" and dealt only with a universal subject devoid of practical limitations. 5 Cassirer drew close to phenomenology in the 1920s, when he embarked on his great project The Philosophy of Symbolic Forms, presenting... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Idiot Patrick BatemanA New Configuration of Caricatural "Ultra-Christianity"Fabrizio Arcuri (bio)INTRODUCTIONThis paper1 aims to analyze the figure of Patrick Bateman, the protagonist of the novel American Psycho,2 through René Girard's mimetic theory. It links the character created by Bret Easton Ellis to the concept of caricatural "ultra-Christianity," meaning the degeneration of Christian-based concern for innocent victims.Methodologically, it adopts the approach of the sociology of the imaginary, which is (...) characterized by the division between invisible levels of signification and visible elements of culture. The latter, as a set of representations, narratives, and products, both material and ideal, are influenced by the former, which represent their condition of possibility.3 When considering caricatural "ultra-Christianity" as a phenomenon traceable to the "Regimes of the Imaginary" of the sacred,4 it can be regarded as the deep substratum from which Patrick [End Page 177] Bateman's particular idiocy emerges as a paranoid and victimistic intensification of mimetic desire.For this reason, this paper is subdivided into three sections. In the first, the focus is on the conception of caricatural "ultra-Christianity" that derives from Girard's work, identifying its origin in the revelation of Christ Paraclete. The second examines "idiotism," one of the types of "ultra-Christianity" present in contemporary society. "Idiotism" is understood as a paranoid reaction due to the traumatic split, psychiatrically based, between one's idios kosmos (own-world) and koinos kosmos (common world). Finally, in the third, I concentrate on the peculiarities of American Psycho via the theoretical framework delineated in the previous parts.FROM PARACLETE TO CARICATURAL "ULTRA-CHRISTIANITY"To provide a definition of the nature and function of caricatural "ultra-Christianity," we must first refer to the main concepts of mimetic theory, specifically, the revelation of Christianity in Girard's work. According to René Girard, desire is never authentically spontaneous or individual. Rather, it is influenced by the mutual fascination of subjects. These, often unconsciously, regard their fellow human beings as entities endowed with the fullness of being that they irretrievably lack.5Desire is a form of ontological contagion perpetuated by the continuous activity of imitation. The individual aspires to resolve metaphysical contradictions by emulating the physical, moral, symbolic, and social features of all those he/she prefers as his/her models.6 Nevertheless, within a mimetic relationship, the mediator will defend his/her own position, denying the imitating disciple the chance to match his/her status. Due to the "viral" characteristics of mimesis, the result is a situation of vindication and rivalry that is likely to spread throughout the community, fomenting a vicious cycle of fratricidal violence.7In Girard's view, that form of generalized conflict can lead society to collapse. A community needs to find an object or, better, an individual, always in a mimetic way, on whom to discharge the growing tension. The identification of the collective nemesis occurs through the scapegoat mechanism.8 Although the epidemic of violence plaguing the community is due to the desires and rivalries of all its members, the construction of the collective nemesis designates a single culprit for the mimetic crisis and results in both the disavowal of blame and the enfranchisement of the majority from responsibility. The enemy must be immolated, as only his sacrifice can save the collective. The violence of lynching [End Page 178] becomes the only means of restraining the previous violence of the mimetic escalation. Once the antagonist is killed, the destructive effects of fratricidal mimesis are appeased, at least temporarily.For Girard, the handling of salvific violence represents the essence of the sacred.9 This is a type of managing that, in its regenerative and foundational aspects, constitutes the value system that regulates the circulation of mimesis and the desires of each member of the community. It ensures, albeit precariously, the compactness of the group structure. It could be argued that the construction of meaning that emerges from the lynching of the scapegoat structures the representation of the social order,10 that is, the collective imaginary, understanding it as an instituting narrative of meanings: "This narrative resides in the shared imagination of the group that constructed it and encompasses... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Language of Reciprocity in Euripides' MedeaMelissa MuellerEuripides' Medea is a character who is adept at speaking many languages. To the chorus of Corinthian women, she presents herself as a woman like any other, but with fewer resources; to Jason in the agōn she speaks as if man to man, articulating her claim to the appropriate returns of charis and philia. Even when she addresses herself, in the (...) great monologue, two distinct voices appear, that of the pitiful mother who loves her children and, opposed to this, the voice of the heroic warrior who demands revenge.1 The subject of this article will not be the versatility of Medea's speech, per se. Rather, I will consider the narrower but related issue of how—with what words and weapons—Medea enacts her revenge on Jason.Christopher Gill recently has argued that Medea's revenge is the final episode in the series of exchanges of charis between husband and wife.2 The exchanges began long ago in the mythical past, when Medea first helped Jason obtain the Golden Fleece.3 My argument, building on that of Gill's, is that the language of charis extends in this play to the material medium of the heroine's revenge. The "textiles" given by Medea to Creon's daughter are, I suggest, a significant component in the play's construction of Medea's agency and her participation in relations of philia.4 What can the objects that Medea uses as instruments of vengeance tell us about the identity of this heroine and the active role she [End Page 471] creates for herself?5 Why, more specifically, does Medea use gifts—a crown (plokos) and a robe (peplos)—to kill Creon and his daughter?6 By reading the gifts themselves in relation to the preceding agōn and Aegeus episode we will arrive at a more complete picture of the issues at stake in Medea's revenge.7To do this we will need to take into account several preliminary considerations. First of all, gifts are not given in isolation.8 There is always some reference to past acts of generosity as well as to future obligation when an offer is made. In Medea's case, the plokos and peplos—gifts given to her by her grandfather, Helios—are implicated in her own genealogy and, as I will argue, in her history with Jason. Standing as symbols of the autonomous power that Medea once used to give herself away in marriage, these objects are called upon once again, in this play, in order to punish Jason for his violation of philia.Secondly, the giving of gifts and the revenge take place in the context of two marriages: the marriage of Jason to Medea, and subsequently, his marriage to the princess of Corinth. In the final section of this article I will argue that Medea manipulates wedding gifts and imagery in such a way that the fulfillment of her revenge is conditional upon (and coextensive with) the unraveling of both of these marriages. The approach I am taking toward Medea's revenge therefore raises the important issue of female subjectivity in Greek tragedy, especially in the context of marriage. Recently, Victoria Wohl, Kirk Ormand, and Nancy Rabinowitz have given subtle and thorough consideration to the problems that arise in reading female subjectivity within the constraints of male authorship and the patriarchal systems of exchange of Greek tragedy. [End Page 472] I am for the most part in agreement with their description of marriage in tragedy as a homosocial institution: the exchange of women solidifies social and economic bonds between men—and therefore, should be read from this perspective.9Nevertheless, I believe that the Medea offers an interesting and significant challenge to this generalization. For it is precisely containment by a patriarchal system (and husband) that Medea seems to defy. Medea speaks a language of reciprocity that is usually spoken between men only, and she negotiates an uneasy balance for herself (in the agōn) between the roles of marital and aristocratic philia (as discussed below). When her claims to philia are not heard there, she stages another scene of exchange—this time... (shrink)

In this paper, I explore how Cassirer’s early and mature epistemology, philosophy of science, and philosophy of culture make up a coherent and comprehensive view of the mathematical sciences that is fruitful for understanding contemporary science. In Cassirer’s first systematic work, Substanzbegriff und Funktionsbegriff, the mathematical sciences are understood through the concept of function. This implies that scientific investigation aims at increased unity in a system of functional concepts, rather than at answering the substance-rooted question of what is. In his (...) mature work, Philosophie der symbolischen Formen, Cassirer expands his inquiry to diverse notions of objects and principles of symbolic forming, recognizing the mathematical sciences as one of many ways of structuring experience, alongside other symbolic forms such as myth and ordinary language. Together, Cassirer’s early and mature works detail the preconditions and idiosyncrasies of the unfolding of scientific objects and situate the mathematical sciences within the totality of human experience. Applying these insights to contemporary interpretations of science suggests connecting common misconceptions of science to challenges in translating objects between symbolic forms. I propose the concepts of domestication and mythification of science as instructive for clearing up such misunderstandings. (shrink)

Some decades before Umberto Eco refounded semiotics in the sixties, Alfred Schutz had already elaborated a theory on signs and symbols. Moreover, as Schutz himself affirms, neither was he the first to do so. The thoughts of Charles Sanders Peirce had already clearly influenced American pragmatism, and thinkers like George Herbert Mead and Ernst Cassirer had developed a theory of symbols, both referred to by Schutz in his later works. Nonetheless, sign theory was already present in his first book, Der (...) sinnhafte Aufbau der sozialen Welt, and can be traced to the influence of Edmund Husserl. Schutz’s focus on the analysis of the relationship between individual and society fomented his perception of the importance of intermediary communication and sign processes as the setting and interpretation of signs, “Zeichensetzung und Zeichendeutung”, reflections that in his later working phase resulted in a proper sign theory, which is analyzed in the following article. Based on Husserl’s concept of pairing, Schutz here develops his theory of appresentational references, comprising a subdivision of: marks, indications, signs and symbols. This involves the concept of representation, a relationship between the signifier and the signified, and a subjective as well as constructive interpretation by actors. Consequently, this concept involves an objective sign system, a social situation and, as inserted into a process of communication, complementary producers and receptors of signs and symbols. In the final comments the question is addressed whether, and in what sense, given the preceding theory of appresentational references, Schutz would hold that reality is a symbolic construction, as proposes the title of the 2016 conference on Schutz in Tokyo, The Symbolic Construction of Reality. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 9.3 (2002) 261-264 [Access article in PDF] Mind, Meaning, and the Brain Thomas Fuchs, MD, PhD Keywords: Mind, brain, meaning, translation, depression. A Systemic View of the Mind Progress in brain research over the past two decades demonstrates the power of the neurobiological paradigm. However, this progress is connected with a restricted field of vision typical of any scientific paradigm. The psychiatrist should be (...) aware of this restriction, because, unlike the brain scientist, he deals with patients, not with brains. The restricted view may be described by the terms of (1) reductionism, (2) reification, and (3) isolation.Reductionism: Neurobiology tends to regard subjectivity as a mere by-product of the brain's activity as a symbol-manipulating machine or an information processor. Consciousness becomes an epiphenomon of the neuronal machinery that, operating behind our back, creates the illusion of a continuous self and of an autonomous will (Churchland 1995; Roth 1996).Reification: Mental or subjective states seem to be localizable in the brain; thoughts or feelings, it appears, may be observed in the colored illumination of cortical and subcortical structures. This results in the belief that brain images could also show the cause of a mental illness, or even the illness itself, which then manifests, for instance, in a reduced metabolic activity in certain areas of the cortex.Isolation: As a further consequence, this view isolates the individual patient and considers his illness separated from the interconnections with his environment. However, on these interconnections his personal experiences and dispositions are founded, and it is the actual interpersonal situation that has triggered his present illness.Walter Glannon's paper successfully counters these tendencies toward a neurobiological reductionism with an extended view of the mind: "... the mind is not located in any one place but is distributed among the brain, the body, and the environment." Of course, who observes someone's brain will never see his thoughts, his pain, or his anxiety. For consciousness is not a localizable object or state at all but a process of relating to something: a perceiving of, remembering of, wishing for, aiming at, and so on. Thus on the phenomenological level, there is nothing like a "mental event" that could be isolated from the world and from the stream of conscious experiences. The mind exists only embedded in the world and in the temporal process of life.The same applies to the biological level: Consciousness is based on the continuous interaction of the brain with the organism, and of the organism as a whole with the environment. The role of the brain for mental phenomena is thus comparable to the role of the heart in the circulatory system or of the lung in the respiratory system. Of course, the lung is the central organ of breathing, but respiration may not be restricted to the [End Page 261] lung, nor to the organism as a whole. It means constant exchange with the environment, and there is no sense in asking whether the air taken in still belongs to the surroundings or already to the organism. The same systemic unity is found in the circle of perception and action mediated by the brain: When I am writing a letter, there is no place in the unity of action where my "self" ends and the "world" begins, no border that separates inner and outer worlds.There is another argument to be raised against the reification of the mind if we consider the aspect of a historical biology. From birth on, our mind as well as the correlated brain structures are essentially formed by social and cultural influences. The brain is not inserted into the world as a prefabricated apparatus but through its plastic development in and from the world. Thus it adapts epigenetically to its specific natural and social environment like a key to a lock. This complementarity makes it impossible to restrict one's view to the anatomic organ and requires an interdisciplinary approach to brain-environment investigation, as for example, under the heading of a "social cognitive neuroscience" (Ochsner and Lieberman 2001).As Glannon goes on to argue, to overcome... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Tyrant’s Writ: Myths and Images of Writing in Ancient GreeceThomas ColeDeborah T. Steiner. The Tyrant’s Writ: Myths and Images of Writing in Ancient Greece. Princeton: Princeton University Press, 1994. xiv + 279 pp. Cloth, price not stated.Literacy, as the author correctly points out in her introduction (5), tends to be seen nowadays as “a tool of cultural progress, of rational thought, of scientific analysis, a critical (...) marker that separates the developing from the developed world”; and so the spread of literacy in the Greek world of the Archaic and Classical periods is almost inevitably treated as an event that “heralds in a new rational, skeptical and objective approach,” leading to “advances... in logic, science and technology.” What follows this observation—by way of supplement or corrective to the communis opinio—is an attempt to show that for the Greeks themselves—insofar as their attitude can be documented down to the early fourth century B.C.—writing was something rather different: a multivalent and at times mysterious system of signifiers only partially differentiated from the nonalphabetic symbols and signs that preceded its introduction (chap. 1), a talismanic means of giving greater solemnity and efficacy to the contents of oaths, curses, prayers, and oracles (chap. 2), a frequent source of a “conservative and backward looking” vehicle (metaphor) for carrying on psychological and cosmological speculation (chap. 3), and a medium highly suspect as being the one preferred by tyrants, Greek or oriental, when communicating with their subjects or deputies (chap. 4) and by various types of subversives (conspiring oligarchs, religious fanatics, apolitical shunners of assembly and agora) when communicating among themselves (chap. 5).The attempt, though carried out with energy and imagination, strikes me as ultimately unsuccessful—inconclusive at best and at times dedicated to establishing theses which are refuted by the very evidence that has been assembled to support them. This is especially apparent in chapter 3, which suffers from a failure to allow for the existence of highly traditional modes of argumentation such as metaphor alongside the use of metaphorical vehicles in conjunction with highly “progressive” or revolutionary tenors. The habit of comparing perception, remembering, and forgetting to the inscribing, preservation, and erasure of texts on the wax tablets of the mind (100–5) is surely inseparable from the development both of an empiricist psychology and epistemology and of a materialistic view of the soul; and the atomist analogy between letters and the basic constituents of the cosmos (116–22) stands in equally close relationship to the concern of the scientist—be he ancient or modern—to draw distinctions between primary and secondary sensory qualities and to produce an accounting for the apparently qualitative differences between phenomena in ultimately quantitative terms.While not actually refuting the author’s theses, chapter 2 reveals the existence [End Page 145] of a fairly strong argumentum ex silentio against them. Its discussion is based almost entirely on inferences as to the attitudes whose existence might be posited to explain the frequency with which writing is used in certain contexts, and this frequency is, to my mind, more efficiently and plausibly accounted for as the result of nothing more mysterious than a general recognition of the superiority of written to verbal texts in situations where permanence, transportability, visibility, or reliability and authenticity are called for. We are still far from the skepticism, rationalism, and objectivity posited by the modern communis opinio, but much nearer to that than the obscurantism and authoritarianism of the alternative vision offered here. One would certainly not be surprised if, “as documents came to supplement and then to replace symbolic objects,” the former came to acquire some of the sacral character of the latter, and Steiner cites evidence (63 n. 8) to suggest that this actually occurred in medieval England. Parallels can also be cited from medieval Tibet, where monks sought to secure to themselves the spiritual benefits of Buddhist scriptures by wadding pages from the texts in question into small pellets and swallowing them; or even twentieth-century America, where college students seem to derive comparable reassurance from the photocopies of unread articles that line their bookshelves. But nothing in the evidence Steiner cites... (shrink)