Kant’s theory of cognition centrally builds on his conception of self-consciousness and the transcendental use of the phrase “I think”: the ability to add the phrase “I think” to a representation is a necessary condition of the ability to cognize objects. The paper argues that “I think”, rather than denoting the content of a predicative judgement, is typically an expression of the subject’s thinking. It expresses a kind of self-consciousness that, without assertively representing the subject itself, indicates that representational contents (...) are unified in a single consciousness of a single subject. Our aim is thus to develop and defend an expressivist interpretation of Kant’s “I think”. (shrink)

Conditionals somehow express conditional beliefs. However, conditional belief is a bi-propositional attitude that is generally not truth-evaluable, in contrast to unconditional belief. Therefore, this article opts for an expressivistic semantics for conditionals, grounds this semantics in the arguably most adequate account of conditional belief, that is, ranking theory, and dismisses probability theory for that purpose, because probabilities cannot represent belief. Various expressive options are then explained in terms of ranking theory, with the intention to set out a general interpretive scheme (...) that is able to account for the most variegated usage of conditionals. The Ramsey test is only the first option. Relevance is another, familiar, but little understood item, which comes in several versions. This article adds a further family of expressive options, which is able to subsume also counterfactuals and causal conditionals, and indicates at the end how this family allows for partial recovery of truth conditions for conditionals. (shrink)

I defend a general rule for updating beliefs that takes into account both the impact of new evidence and changes in the subject’s location. The rule combines standard conditioning with a shifting operation that moves the center of each doxastic possibility forward to the next point where information arrives. I show that well-known arguments for conditioning lead to this combination when centered information is taken into account. I also discuss how my proposal relates to other recent proposals, what results it (...) delivers for puzzles like the Sleeping Beauty problem, and whether there are diachronic constraints on rational belief at all. (shrink)

Kant's theory of cognition centrally builds on his conception of self‐consciousness and the transcendental use of the phrase “I think”: the ability to add the phrase “I think” to a representation is a necessary condition of the ability to cognize objects. The paper argues that “I think”, rather than denoting the content of a predicative judgement, is typically an expression of the subject's thinking. It expresses a kind of self‐consciousness that, without assertively representing the subject itself, indicates that representational contents (...) are unified in a single consciousness of a single subject. Our aim is thus to develop and defend an expressivist interpretation of Kant's “I think”. (shrink)

In addition to discussing some philosophical accounts of common sense, this article considers several ways in which common sense can be altered or disturbed in psychopathology. Common sense can be defined as practical understanding, capacity to see and take things in their right light, sound judgment, or ordinary mental capacity. The philosopher Vico described it as the ability to distinguish the probable from the improbable. Goethe understood common sense as an "organ" that is formed in communication for the purpose of (...) communication. Common sense is rooted in the intersubjective constitution of the life-world. Obsessive-compulsive patients show relatively mild disturbances of common sense. Patients with major affective psychoses, in their premorbid personality structure, are overly attached to common sense. In schizophrenia, however, there seems to be a true abdication of common sense involving a loss of "natural self-evidence." Even in premorbid states, such persons often lose both the sense of tact and the ability to "take things in their right light." Although logic, and the ability to engage in theoretical discussion, may be preserved, there is a loss of interpretive skills and the "faculty of judgment"; this results in an inability to cope with everyday practical and social activity. There is also a characteristic sense of perplexity, a sense of amazement before that which would normally seem self-evident and a frequent tendency to reflect upon the conditions of possibility of existence that otherwise remain concealed. The author suggests that the fragility of common sense should not be seen as a mere deficiency state. Rather, it derives from a basic vulnerability inherent in the very structure of being human. (Abstract written by special issue editor: L.A.S.). (shrink)

This Element addresses three questions about Kant's guarantee thesis by examining the 'first addendum' of his Philosophical Sketch: how the guarantor powers interrelate, how there can be a guarantee without undermining freedom and why there is a guarantee in the first place. Kant's conception of an interplay of human and divine rational agency encompassing nature is crucial: on moral grounds, we are warranted to believe the 'world author' knew that if he were to bring about the world, the 'supreme' good (...) would come about too. Perpetual peace is the condition that enables the supreme good to be realized in history. (shrink)

This book addresses controversies concerning the epistemological foundations of data science: Is it a genuine science? Or is data science merely some inferior practice that can at best contribute to the scientific enterprise, but cannot stand on its own? The author proposes a coherent conceptual framework with which these questions can be rigorously addressed. Readers will discover a defense of inductivism and consideration of the arguments against it: an epistemology of data science more or less by definition has to be (...) inductivist, given that data science starts with the data. As an alternative to enumerative approaches, the author endorses Federica Russo’s recent call for a variational rationale in inductive methodology. Chapters then address some of the key concepts of an inductivist methodology including causation, probability and analogy, before outlining an inductivist framework. The inductivist framework is shown to be adequate and useful for an analysis of the epistemological foundations of data science. The author points out that many aspects of the variational rationale are present in algorithms commonly used in data science. Introductions to algorithms and brief case studies of successful data science such as machine translation are included. Data science is located with reference to several crucial distinctions regarding different kinds of scientific practices, including between exploratory and theory-driven experimentation, and between phenomenological and theoretical science. Computer scientists, philosophers and data scientists of various disciplines will find this philosophical perspective and conceptual framework of great interest, especially as a starting point for further in-depth analysis of algorithms used in data science. (shrink)

It is widely held that if an object a is identical (or non-identical) to an object b, then it is necessary that a is identical (non-identical) to b. This view is supported an argument from Leibniz's Law and a popular conception of de re modality. On the other hand, there are good reasons to allow for contingent identity. Various alternative accounts of de re modality have been developed to achieve this kind of generality, and to explain what is wrong with (...) the argument from Leibniz's Law. (shrink)

Buridan endorsed the principles that any impossible, and a fortiori any self-contradictory, proposition entails each proposition. These principles are usually referred to as ‘Ex impossibili quodlibet’ (EIQ) and ‘Ex contradictione quodlibet’ (ECQ). Buridan further considered the instance ECCQ according to which any proposition follows from the conjunction of two contradictory propositions. Buridan showed how ECCQ can be proven by means the usual laws of conjunction and disjunction. Furthermore, he discovered that EIQ can be derived from ECCQ by means of the (...) principle that if a conclusion q follows from two premises, one of which is necessary, then q follows from the other premise alone. Buridan thought that this principle would be provable; but his proof turned out to be circular since it presupposed EIQ. Nevertheless, EIQ is validated by the definition of a ‘bona consequentia’. Somewhat more exactly, according to Buridan one may distinguish between inferences which are formally valid, ‘materially’ valid, and valid ‘as of now’. It is shown that formally valid inferences satisfy ECQ while ‘materially’ valid inferences satisfy EIQ. Furthermore, inferences which are valid ‘as of now’ satisfy the principle ‘Ex falso quodlibet’ saying that any false proposition ‘as of now’ entails every proposition. (shrink)

It has recently been argued that some cases of naked statistical evidence license a high credence, but not an outright belief. If this is correct, there cannot be an unconditional bridge principle from credence to outright belief. We show that at least one prominent putative counterexample to such a bridge principle is based on a mistake, by demonstrating that the statistical evidence falls short not only of licensing rational belief, but also of justifying a high credence.

Der vorliegende Band enthalt sechs teilweise stark iiberarbeitete Aufsatze, die in der Zeit zwischen der Niederschrift des Buches Theorienstrnkturen und Theoriendynamik, Springer-Verlag 1973, im folgenden mit [Theoriendynamik] bezeichnet, und der Monographie The Strncturalist View of Theories. A Pos­ sible Analogue of the Bourbaki Programme in Physical Science, Springer-Ver­ lag 1979, im folgenden kurz [Strnkturalismus] genannt, entstanden sind. In diesen Abhandlungen werden jeweils gewisse Aspekte des strukturalistischen Theorienkonzeptes behandelt. Am starksten iiberarbeitet wurden die Auf­ satze II, IV, V und VI, die (...) urspriinglich in englischer Sprache erschienen waren. Vier der sechs Arbeiten, namlich I, III, IV und VI, bilden auBerdem erweiterte Fassungen von Vortragen. Obwohl das zweite Buch [Strnkturalismus] durch P. Feyerabends ausftihr­ liche Diskussion der strukturalistischen Auffassung im British Journal for the Philosophy of Science, Dezember 1977, angeregt worden ist, stellt es seinem Ansatz und Aufbau nach eher den Versuch einer systematischen Kurzdarstel­ lung des strukturalistischen Vorgehens nach seinem letzten Stande dar. Dem­ gegeniiber entstanden die hier verOffentlichten Artikel stets aus einem ganz be­ stimmten AnlaB. Diese Anlasse konnte man schematisch in drei Klassen unter­ teilen: Entweder ging es darum, eine anschauliche intuitive Ein/iihrnng zu lie­ fern (I und V); oder die Aufgabe bestand darin, die Beziehung zu anderen philosophischen Positionen. wie z. B. derjenigen L. Wittgensteins, H. Putnams, K. Poppers oder T. S. Kuhns. zu analysieren (II. III und IV); oder es sollte zu den wichtigsten und bis dahin verOffentlichten Kritiken Stellung bezogen wer­ den (wie in VI). (shrink)

Research Integrity (RI) is high on the agenda of both institutions and science policy. The European Union as well as national ministries of science have launched ambitious initiatives to combat misconduct and breaches of research integrity. Often, such initiatives entail attempts to regulate scientific behavior through guidelines that institutions and academic communities can use to more easily identify and deal with cases of misconduct. Rather than framing misconduct as a result of an information deficit, we instead conceptualize Questionable Research Practices (...) (QRPs) as attempts by researchers to reconcile epistemic and social forms of uncertainty in knowledge production. Drawing on previous literature, we define epistemic uncertainty as the inherent intellectual unpredictability of scientific inquiry, while social uncertainty arises from the human-made conditions for scientific work. Our core argument—developed on the basis of 30 focus group interviews with researchers across different fields and European countries—is that breaches of research integrity can be understood as attempts to loosen overly tight coupling between the two forms of uncertainty. Our analytical approach is not meant to relativize or excuse misconduct, but rather to offer a more fine-grained perspective on what exactly it is that researchers want to accomplish by engaging in it. Based on the analysis, we conclude by proposing some concrete ways in which institutions and academic communities could try to reconcile epistemic and social uncertainties on a more collective level, thereby reducing incentives for researchers to engage in misconduct. (shrink)

& The functional equivalence of overt movements and dynamic imagery is of fundamental importance in neuroscience. Here, we investigated the participation of the neocortical motor areas in a classic task of dynamic imagery, Shepard and Metzler's mental rotation task, by time-resolved single-trial functional Magnetic Resonance Imaging (fMRI). The subjects performed the mental-rotation task 16 times, each time with different object pairs. Functional images were acquired for each pair separately, and the onset times and..

We define classes Φnof formulae of first-order arithmetic with the following properties:(i) Everyφϵ Φnis classically equivalent to a Πn-formula (n≠ 1, Φ1:= Σ1).(ii)(iii)IΠnandiΦn(i.e., Heyting arithmetic with induction schema restricted to Φn-formulae) prove the same Π2-formulae.We further generalize a result by Visser and Wehmeier. namely that prenex induction within intuitionistic arithmetic is rather weak: After closing Φnboth under existential and universal quantification (we call these classes Θn) the corresponding theoriesiΘnstill prove the same Π2-formulae. In a second part we consideriΔ0plus collection-principles. We (...) show that both the provably recursive functions and the provably total functions ofare polynomially bounded. Furthermore we show that the contrapositive of the collection-schema gives rise to instances of the law of excluded middle and hence. (shrink)

The founder of modern logic and grandfather of analytic philosophy was 70 years old when he published his paper 'Der Gedanke' (The Thought ) in 1918. This essay contains some of Gottlob Frege's deepest and most provocative reflections on the concept of truth, and it will play a prominent role in my lectures. The plan for my lectures is as follows. What is it that is (primarily) true or false? 'Thoughts', is Frege's answer. In §1, I shall explain and defend (...) this answer. In §2, I shall briefly consider his enthymematic argument for the conclusion that the word 'true' resists any attempt at defining it. In §3, I shall discuss his thesis that the thought that things are thus and so is identical with the thought that it is true that things are thus and so. The reasons we are offered for this thesis will be found wanting. In §4, I shall comment extensively on Frege's claim that, in a non-formal language like the one I am currently trying to speak, we can say whatever we want to say without ever using the word 'true' or any of its synonyms. I will reject the propositional-redundancy claim, endorse the assertive-redundancy claim and deny the connection Frege ascribes to them. In his classic 1892 paper 'Über Sinn und Bedeutung' (On Sense and Signification) Frege argues that truth-values are objects. In §5, I shall scrutinize his argument. In §6, I will show that in Frege's ideography (Begriffsschrift) truth, far from being redundant, is omnipresent. The final §7 is again on truth-bearers, this time as a topic in the theory of intentionality and in metaphysics. In the course of discussing Frege's views on the objecthood, the objectivity of thoughts and the timelessness of truth(s), I will plead for a somewhat mitigated Platonism. (shrink)

We show that one can solve Post's Problem by constructing generic sets in the usual set theoretic framework applied to tiny universes. This method leads to a new class of recursively enumerable sets: r.e. generic sets. All r.e. generic sets are low and simple and therefore of Turing degree strictly between 0 and 0'. Further they supply the first example of a class of low recursively enumerable sets which are automorphic in the lattice E of recursively enumerable sets with inclusion. (...) We introduce the notion of a promptly simple set. This describes the essential feature of r.e. generic sets with respect to automorphism constructions. (shrink)

The paper critically examines an objection to epistemic contextualism recently developed by Elke Brendel and Peter Baumann, according to which it is impossible for the contextualist to know consistently that his theory is true. I first present an outline of contextualism and its reaction to scepticism. Then the necessary and sufficient conditions for the knowability problem to arise are explored. Finally, it will be argued that contextualism does not fulfil these minimal conditions. It will be shown that the contrary view (...) is based on a misunderstanding of what contextualists are claiming. (shrink)

Abelard: Logic This article describes and reconstructs Peter Abelard’s logic of the twelfth century. Much of what he regarded as logic is now classified as ontology or philosophical semantics. The article concentrates on his treatment of the relation of consequence. Abelard’s most important logical innovations consist of two points: The distinction between two kinds of … Continue reading Abelard: Logic →.

Anti-reductionist philosophers have often argued that mental and linguistic phenomena contain an intrinsically normative element that cannot be captured by the natural sciences which focus on causal rather than rational relations. This line of reasoning raises the questions of how reasons could evolve in a world of causes and how children can be acculturated to participate in rule-governed social practices. In this paper I will sketch a Wittgensteinian answer to these questions. I will first point out that throughout his later (...) philosophy Wittgenstein draws a sharp distinction between "teaching" and "training": newly-born children are trained (conditioned) to react to specific stimuli in specific ways, which then allows them to acquire concepts and follow rules. I will then show that this picture presupposes a strong analogy between concepts and capacities, which is also present in Wittgenstein's later philosophy. In the last section I will point out that Wittgenstein only discusses the ontogenetic question of how individual children can acquire speech, but not the phylogenetic question of how rule-governed behavior could evolve in the first place. I will argue that this strategy should not be seen as a shortcoming, but rather as an expression of Wittgenstein's approach that can be characterized as naturalistic in a wide sense. (shrink)

In a notoriously obscure passage in Metaphysics 7.1 Aristotle claims that substance is primary in time. The only concrete literal interpretation suggested so far of this controversial claim is in terms of existing before and after in time. I argue that this interpretation faces serious problems. I then present a novel literal interpretation, in terms of being an appropriate subject of temporal predications, that is immune to these problems and strongly supported by philosophical and contextual considerations.

Buridan endorses the basic idea that q follows from p iff it is impossible that p is true but q is false. Since he also accepts the law that, if p is impossible, the conjunction (p ∧ q) must be impossible, he comes to regard the principle ‘Ex impossibili quodlibet’ (EIQ) as basically correct. However, his logic is based on a ‘nominalist’ view according to which propositions are tokens of spoken, written or thought language existing in space of time, and (...) the truth of such a proposition presupposes that it exists. This conception prompted Buridan to modify the definition of ‘consequence’, but none of his attempts was fully successful. Yet, a large part of his theory of consequences is based on the usual account of necessary truth-conservation. As regards principle EIQ, Buridan distinguishes two variants of impossibility. Proposition p is possible iff the state of affairs as described by p is possible; this doesn’t guarantee, however, that p is ‘possibly true’. E.g. ‘No proposition is negative’ is considered by Buridan as describing a possible state of affairs, but this proposition is not possibly true, because in order to be true, it would have to exist, and as soon as it comes into existence, it becomes false. Accordingly, EIQ requires that the antecedent p is really impossible and not only impossibly true. (shrink)

An infinite binary sequence X is Kolmogorov–Loveland random if there is no computable non-monotonic betting strategy that succeeds on X in the sense of having an unbounded gain in the limit while betting successively on bits of X. A sequence X is KL-stochastic if there is no computable non-monotonic selection rule that selects from X an infinite, biased sequence.One of the major open problems in the field of effective randomness is whether Martin-Löf randomness is the same as KL-randomness. Our first (...) main result states that KL-random sequences are close to Martin-Löf random sequences in so far as every KL-random sequence has arbitrarily dense subsequences that are Martin-Löf random. A key lemma in the proof of this result is that for every effective split of a KL-random sequence at least one of the halves is Martin-Löf random. However, this splitting property does not characterize KL-randomness; we construct a sequence that is not even computably random such that every effective split yields two subsequences that are 2-random. Furthermore, we show for any KL-random sequence A that is computable in the halting problem that, first, for any effective split of A both halves are Martin-Löf random and, second, for any computable, nondecreasing, and unbounded function g and almost all n, the prefix of A of length n has prefix-free Kolmogorov complexity at least n−g. Again, the latter property does not characterize KL-randomness, even when restricted to left-r.e. sequences; we construct a left-r.e. sequence that has this property but is not KL-stochastic and, in fact, is not even Mises–Wald–Church stochastic.Turning our attention to KL-stochasticity, we construct a non-empty class of KL-stochastic sequences that are not weakly 1-random; by the usual basis theorems we obtain such sequences that in addition are left-r.e., are low, or are of hyperimmune-free degree.Our second main result asserts that every KL-stochastic sequence has effective dimension 1, or equivalently, a sequence cannot be KL-stochastic if it has infinitely many prefixes that can be compressed by a factor of α<1. This improves on a result by Muchnik, who has shown that were they to exist, such compressible prefixes could not be found effectively. (shrink)

What are the objects of knowledge, belief, probability, apriority or analyticity? For at least some of these properties, it seems plausible that the objects are sentences, or sentence-like entities. However, results from mathematical logic indicate that sentential properties are subject to severe formal limitations. After surveying these results, I argue that they are more problematic than often assumed, that they can be avoided by taking the objects of the relevant property to be coarse-grained (“sets of worlds”) propositions, and that all (...) this has little to do with the choice between operators and predicates. (shrink)

The interest contemporary philosophy takes in Kant's notion of apperception is restricted to his criticism of the Cartesian Ego and to his refutation of scepticism, but there is a profound lack of concern for the notion itself and for the act of spontaneity in particular which is connected with the use of the word T. Starting from a comparison of Wittgenstein's account of this use with Kant's considerations it is argued that the latter aims at a theory of formal conditions (...) of knowledge which includes the availability of the notion of the I. It is clarified what the determination of apperception as an 'act of spontaniety' amounts to (B: 132). Kant's scattered remarks on the ability of having the representation of the I, of using the word 'I', are considered in order to show that what he called 'the logical I' has something to do with the capacity of performing an act of judgment. It is argued that such an account is not to be found in contemporary discussions of 'essential indexicals', 'first-person view' and mental self-ascriptions. (shrink)

This volume consists of essays from a colloquium about "philosophy of economics" held at the·University of l1unich in July, 1981. They are contributions to an enterprise which in some respects is long-standing and in other respects is new. The long-standing enterprise is to somehow establish decision theory and its kindred disciplines as the basis of economic theory from which its other parts might be shown to follow. The new enterprise is to apply (some of) the latest methods of phi. losophy (...) of science to economic theory. By "philosophy of science" we do not mean h:istory of science and the like; rather we mean a reconstructive proce dure which clarifies and deepens the understanding of the science under investigation. By "the latest methods" we refer to the structuralist view which has emerged in the last fifteen years, and which has been success fully applied most notably to physical theories. Economics being rather like a stepchild of a reconstructivist philo sophy of science, we think much of the interest of this volume to lie just in its attending to the newer enterprise_ We are happy to have brought together at the colloquium some of the few philosophers of scien ce working in. this field who share this common goal, and we hope that their essays will stimulate further work. -The contributions to the long-standing enterprise, though perhaps not as urgent, are no less valuable. (shrink)

In this article I focus on the question question of why we actually do read literary texts and what the merits of engaging with literary works are. The central argument is that (among the many other functions literature is abile to perform) literature is cognitively valuable by focusing not on what is said, but on how it is said. Reading literary texts adds to our expressive capacities, enriches our conceptual schemes and can so allow us to get a better grasp (...) of (relevant aspects of) the world. In short, Literature is cognitively valuable not in virtue of the content it expresses, but by means of formal or stylistic elements to which it draws our attention. (shrink)

The Dialectica-style functional interpretation of Kripke-Platek set theory with infinity ( $\hbox{\sf KP} \omega$ ) given in [1] uses a choice functional (which is not a definable set function of ( $hbox{\sf KP} \omega$ ). By means of a Diller-Nahm-style interpretation (cf. [4]) it is possible to eliminate the choice functional and give an interpretation by set functionals primitive recursive in $x\mapsto\omega$ . This yields the following characterization: The class of $\Sigma$ -definable set functions of $\hbox{\sf KP} \omega$ coincides with (...) the collection of set functionals of type 1 primitive recursive in $x\mapsto \omega$. (shrink)

In the present paper we give a functional interpretation of Aczel's constructive set theories CZF − and CZF in systems T ∈ and T ∈ + of constructive set functionals of finite types. This interpretation is obtained by a translation × , a refinement of the ∧ -translation introduced by Diller and Nahm 49–66) which again is an extension of Gödel's Dialectica translation. The interpretation theorem gives characterizations of the definable set functions of CZF − and CZF in terms of (...) constructive set functionals. In a second part we introduce constructive set theories in all finite types. We expand the interpretation to these theories and give a characterization of the translation × . We further show that the simplest non-trivial axiom of extensionality is not interpretable by functionals of T ∈ and T ∈ + . We obtain this result by adapting Howard's notion of hereditarily majorizable functionals to set functionals. Subject of the last section is the translation ∨ that is defined in Burr for an interpretation of Kripke-Platek set theory with infinity. (shrink)

Dieses Buch geht davon aus, dass eine moderne Hermeneutik als Theorie des Verstehens im begrifflichen Rahmen der gegenwärtigen Theorie des Geistes und der Semantik rekonstruiert werden sollte. Vor diesem theoretischen Hintergrund, der in einem eigenen Kapitel näher umrissen wird, soll die Geschichte der Hermeneutik neu gelesen werden. Dabei wird deutlich, dass diese Lesart vielfach neue historische Interpretationen zu entwickeln und die wichtigsten Stationen der Geschichte der Hermeneutik theoretisch auf neue Weise zu integrieren vermag. Über die hermeneutischen Positionen hinaus, die in (...) den bisherigen Gesamtdarstellungen auftauchen, werden auch Entwürfe diskutiert, die besonders unter geist-theoretischen Aspekten interessant sind, zum Beispiel die antike Hermeneutik, die Hermeneutik Max Webers, die Hermeneutik der logischen Empiristen und die naturalistische Hermeneutik. Vor allem aber wird belegt, dass die Geschichte der Hermeneutik teilweise zu großen Einsichten gelangt ist, an die eine moderne Hermeneutik anknüpfen kann. Das Buch wendet sich nicht nur an Spezialisten der Hermeneutik-Geschichte, sondern an alle Interessierten, denen das Schicksal der verstehenden Wissenschaften am Herzen liegt, und möchte ihnen eine Perspektive empfehlen, unter der sich der Status und die Autonomie der Geisteswissenschaften sowie ihr Bezug auf das Humane unter Heranziehung substantieller Theorien auf neue Weise würdigen lassen. (shrink)

Through the work of philosophers like Sellars, Davidson and McDowell, the question of how the mind is related to the world has gained new importance in contemporary analytic philosophy. This book demonstrates that Husserl's phenomenological analyses of the structure of consciousness can provide fruitful insights for developing an original approach to these questions.

The mental system of an individual usually generates a reality-model that includes a self-model and a world-model as fundamental components. Exceptional experiences (ExE) can be classified as subjectively experienced anomalies in the self-model or the world-model or in the relation of both. Empirical studies show significant correlations between specific patterns of ExE and socially and clinically relevant variables. In order to examine the ontological status of anomalous phenomena a psychophysical approach is presented in which the principle of complementarity is of (...) fundamental importance. Applying a generalized quantum theory to psychosocial and psychophysical systems, complementary aspects such as autonomy versus reliability or novelty versus confirmation are identified as possible local and global variables. The findings indicate that entanglement correlations could play a role in the occurrence of ExE and that specific psychological interventions can dissolve them. (shrink)

This paper contributes to the question of under which conditions recursively enumerable sets with isomorphic lattices of recursively enumerable supersets are automorphic in the lattice of all recursively enumerable sets. We show that hyperhypersimple sets (i.e. sets where the recursively enumerable supersets form a Boolean algebra) are automorphic if there is a Σ 0 3 -definable isomorphism between their lattices of supersets. Lerman, Shore and Soare have shown that this is not true if one replaces Σ 0 3 by Σ (...) 0 4. (shrink)

In his new book, Rossi emphasizes the prominent role of enlightened religion in the political project of establishing perpetual peace. My paper discusses Rossi’s stance on the question as to whether Kant, in his later years, moved to an immanentist conception of the highest good. Kant’s own position in this regard can arguably be better described as comprehensive, according to which an immanent and a transcendent conception of the highest good are upheld as realizable side by side. Rossi’s account looks (...) perfectly consistent with such a view. One of the reasons for such a comprehensive reading is that “immanent” and “secular” do not coincide in Kant in the first place. Seen in this comprehensive way, and while a version of the highest good ought to be realized immanently, we cannot be certain that this will indeed happen. If it does indeed happen, the immortality postulate, which Kant never abandoned, renders it rational to believe that the immanent version of the highest good is merely a step towards its transcendent realization. Affinities of Rossi’s approach to the suggestion that Kant subscribes to a political theology based on what has been called “Molinism minimally defined” will also be explored. (shrink)

In this paper it is argued that the _Physical Monadology of 1756 has to be seen as an attempt to evade the same paradox as the one given in the second antinomy of the _Critique of Pure Reason. Since this attempt presupposes the claim that space rests upon relations between substances, it contradicts the thesis that it is a mere form of intuition, presented by Kant in his dissertation of 1770. Therefore, at least since 1770 the paradox of the divisibility (...) of matter rose up again so that Kant had to deal with it once again in his first _Critique. Remarkably, his key to solve the second antinomy is the same which ruled out his earlier solution of 1756 and gave rise to the paradox again, i.e., the ideality of space and time. But, contrary to the dissertation, in the _Critique it is substituted by the doctrine that our knowledge of objects depends on and is restricted to intuitively given objects and this is crucial to the solution of the second antinomy. Finally, it will be shown how Kant deals with the problem of the divisibility of matter in the _Metaphysical Foundations of Natural Science. (shrink)

Against a remarkable hardware oblivion in discussions of algorithmic intelligence, this article insists that algorithmic thought, or abstract computation, cannot be separated from its technological implementation. It requires a material medium for an abstract mechanism to become a procedural event. Temporality is both the condition and the limiting (and irritating) factor in the computational function. ‘Radical’ media archaeology is proposed as a method for such an analysis, and the neologism of techno lógos to describe some aspects of algorithmic reason which (...) only unfold in the moment of its techno-processual coming-into-being. Some core operations, such as the time-discrete rhythm of actual computing algorithms, are discussed, where the ‘tempoReal’ flashes up in computing. In a wider sense, the time-discreteness of digital computing is related to an aesthetics of existence which acknowledges the machine element within human reasoning itself, while at the same time re-actualizing previous cultural techniques of non-narrative chronology. Turing the ‘man’ himself, in the sense of the Turing machine, can be addressed ‘itself’, in its archival sense as a sequence of expressions by symbols. (shrink)