Konstantin Pollok - Kant's Critical Concepts of Motion - Journal of the History of Philosophy 44:4 Journal of the History of Philosophy 44.4 559-575 Muse Search Journals This Journal Contents Kant's Critical Concepts of Motion Konstantin Pollok There are two significant places in Kant's Critical corpus where he discusses the concept of motion. The first is in the Critique of Pure Reason, where in the "Deduction of the Categories" Kant writes: Motion, as an act of the subject , (...) and therefore the synthesis of the manifold in space, first produces the concept of succession—if we abstract from this manifold and attend solely to the act through which we determine the inner sense according to its form. In this passage Kant simply refers to the concept of motion, and the immediate context in which this reference occurs reveals little about what he means by it. In the Metaphysical Foundations of Natural Science, however, motion plays a more significant role, and, concomitantly, it is in his writings on natural science that Kant most fully expresses his thoughts on the subject. For present purposes, the most relevant passage is paragraph 15 of the Preface of the Metaphysical Foundations, where Kant says that the concept of matter had … to be carried through all four of the indicated functions of the concepts of the understanding , where in each a new determination of this concept was added. The.. (shrink)

Konstantin Pollok offers the first book-length analysis of Kant's theory of normativity that covers foundational issues in theoretical and practical philosophy as well as aesthetics. Interpreting Kant's 'critical turn' as a normative turn, he argues that Kant's theory of normativity is both original and radical: it departs from the perfectionist ideal of early modern rationalism, and arrives at an unprecedented framework of synthetic a priori principles that determine the validity of our judgments. Pollok examines the hylomorphism in Kant's theory (...) of normativity and relates Kant's idea of our reason's self-legislation to the 'natural right' tradition, revealing Kant's debt to his predecessors as well as his relevance to contemporary debates on normativity. This book will appeal to academic researchers and advanced students of Kant, early modern philosophy and intellectual history. (shrink)

By taking into account some texts published between the first and the second edition of the Critique of Pure Reason that have been neglected by most of those who have dealt with the deduction of the categories, I argue that the core of the deduction is to be identified as the ‘almost single inference from the precisely determined definition of a judgment in general’, which Kant adumbrates in the Metaphysical Foundations in order to ‘make up for the deficiency’ of the (...) A-deduction. Whereas the first step of the B-deduction is an attempt to show that the manifold of an intuition belongs to the ‘necessary unity of self-consciousness’ by means of the synthesis of the understanding, the second step has the task of showing that the very same synthesis is responsible for the spatio-temporal unity of the manifold. Thus, Kant's ‘answer to Hume’ is that no spatio-temporal objects of experience at all are merely ‘given’, independently of the conceptual activities of the understanding. Against the established view I substantiate the claim that with this ‘almost single inference’ of the second proof step the distinction between judgments of perception and judgments of experience consequently vanished from Kant's thinking. (shrink)

PA is Peano Arithmetic. Pr(x) is the usual Σ1-formula representing provability in PA. A strong provability predicate is a formula which has the same properties as Pr(·) but is not Σ1. An example: Q is ω-provable if PA + ¬ Q is ω-inconsistent (Boolos [4]). In [5] Dzhaparidze introduced a joint provability logic for iterated ω-provability and obtained its arithmetical completeness. In this paper we prove some further modal properties of Dzhaparidze's logic, e.g., the fixed point property and the Craig (...) interpolation lemma. We also consider other examples of the strong provability predicates and their applications. (shrink)

Various publications claim that medical AI systems perform as well, or better, than clinical experts. However, there have been very few controlled trials and the quality of existing studies has been called into question. There is growing concern that existing studies overestimate the clinical benefits of AI systems. This has led to calls for more, and higher-quality, randomized controlled trials of medical AI systems. While this a welcome development, AI RCTs raise novel methodological challenges that have seen little discussion. We (...) discuss some of the challenges arising in the context of AI RCTs and make some suggestions for how to meet them. (shrink)

Dieser Band enthält den zweiten Teil von Schlicks unveröffentlichten Arbeiten zur Naturphilosophie, vor allem seine Vorlesungen aus der Wiener Zeit. Er schließt damit an die großen, frühen Vorlesungen aus der Rostocker Zeit, die bereits in MSGA II/2.1 abgedruckt sind, an.Die Wiener Vorlesungen dokumentieren zum einen Schlicks ständige Auseinandersetzung mit den fortschreitenden naturwissenschaftlichen Entwicklungen. Sie ergänzen und erweitern damit seine veröffentlichten Schriften, etwa zur Relativitätstheorie und Quantenmechanik. Zum anderen schlägt sich in ihnen auch Schlicks philosophische Entwicklung, z. B. seine Einschätzung der (...) Rolle von Naturwissenschaft und Philosophie, oder seine Diskussion der Gültigkeit des Kausalsatzes, nieder. (shrink)

In the famous exchange between Passennus Paulus and Javolenus Priscus at Plin. Ep. 6.15, it has not been previously recognized that Priscus’ reply is metrical and carries on the hexameter begun by Paulus. This opens up some interesting new possibilities for the interpretation of the letter.

This article is a commentary on ChatGPT and LLMs (Large Language Models) in general. It argues that this technology has matured to the point where calling systems such as ChatGPT “stochastic parrots” is no longer warranted. But it also argues that these systems continue to have serious limitations when it comes to reasoning. These limitations are much more severe than commonly thought. A large array of examples are given to support these claims.

In den Kant-Forschungen werden sowohl historisch als auch systematisch orientierte Arbeiten zur Philosophie Immanuel Kants veröffentlicht. Die Bände stellen Funde unbekannter oder verschollen geglaubter Kantischer Autographen und Vorlesungsskripte vor und erörtern Editionsprobleme der Kantischen Vorlesungen und Werke. Sie enthalten darüber hinaus Studien zu Kants Umfeld und zur Kant-Rezeption im 18. Jahrhundert sowie systematisch angelegte Arbeiten zu Architektonik und System der Philosophie Kants.

ArgumentPost-Stalinist reforms resulted in dramatic changes in the ways of operation of Soviet science: one can say that they altered the very understanding of what science was, or should be, in the socialist society. A new vision came about as a result of political and rhetorical efforts of scientists, who pushed forward their various, often conflicting, agendas acting in accordance with specific rules of Soviet polity. The most visible part of the reform came with the 1961 administrative reorganization of the (...) USSR Academy of Sciences. The related series of changes, however, was much broader and comprehensive, modifying the relationships between science and ideology, politicians and academic researchers, and establishing the very division between fundamental and applied research, which had been strongly rejected during the preceding Stalinist period. (shrink)

We say that two arithmetical formulas A, B have the Σ1-interpolation property if they have an ‘interpolant’ σ, i.e., a Σ1 formula such that the formulas A→σ and σ→B are provable in Peano Arithmetic PA. The Σ1-interpolability predicate is just a formalization of this property in the language of arithmetic.Using a standard idea of Gödel, we can associate with this predicate its provability logic, which is the set of all formulas that express arithmetically valid principles in the modal language with (...) two modal operators, □ for provability in PA and for Σ1-interpolability. In this paper we determine this provability logic .It turns out that this problem appears to be quite similar to the problem of such modal description of relative interpretability, a problem, solved by Berarducci and Shavrukov. However, the present case is sometimes easier. In particular, we prove in this paper the fixed point property and the Craig interpolation property for our modal system ELH. (shrink)

Synchronic norms of theory choice, a traditional concern in scientific methodology, restrict the theories one can choose in light of given information. Diachronic norms of theory change, as studied in belief revision, restrict how one should change one’s current beliefs in light of new information. Learning norms concern how best to arrive at true beliefs. In this paper, we undertake to forge some rigorous logical relations between the three topics. Concerning, we explicate inductive truth conduciveness in terms of optimally direct (...) convergence to the truth, where optimal directness is explicated in terms of reversals and cycles of opinion prior to convergence. Concerning, we explicate Ockham’s razor and related principles of choice in terms of the information topology of the empirical problem context and show that the principles are necessary for reversal or cycle optimal convergence to the truth. Concerning, we weaken the standard principles of agm belief revision theory in intuitive ways that are also necessary for reversal or cycle optimal convergence. Then we show that some of our weakened principles of change entail corresponding principles of choice, completing the triangle of relations between,, and. (shrink)

In this paper, we tackle the widely held view that practice-oriented approaches to ethics are conservative, preserving the moral status quo, and, in particular, that they do not promote any change in our dealings with animals or formulate clear principles that help us to achieve such change. We shall challenge this view with reference to Wittgensteinian ethics. As a first step, we show that moral thought and action rest on basic moral certainties like: equals are to be treated equally and (...) unequals unequally. We then explore the relations between this insight and the notion of the difficulty of reality elaborated by Cora Diamond. Our goal is to show that a Wittgensteinian-Diamondian approach to animal ethics is not necessarily morally conservative. Indeed, it offers a profound practice-oriented approach to animal ethics that is capable of promoting change in human dealings with animals because it is compatible with radical critique. (shrink)

Our interest in unconscious motives is not only theoretical; it is also practical, moral. Unconscious motives often perform a useful function, but this may be bought at too high a price. Special therapeutic techniques may be needed to liberate a person from the grip of an unconscious motive. Such a liberation is possible because unconscious motives operate within the larger area of conscious self-control. The goal of rational behavior is to enlarge this area of self-control by greater self-knowledge. The limits (...) of self-knowledge and self-control are flexible, and it is desirable to extend them as far as possible. (shrink)

The problems recently detected in the famous words ars adeo latet arte sua (Ov. Met. 10.252) can be resolved if the line is repunctuated on the basis of an unjustly neglected interpretation put forward by Byzantine and Renaissance scholars.

The article considers A.F. Losev''s philosophy of music in the context ofhis entire religious worldview and as the part of hisChristian-Neoplatonic philosophy. Synthesizing Pythagorean-Platonic andRomantic musical doctrines, Losev concludes: music is the expression ofthe life of numbers, a meonic-hyletic element that rages inside numericconstructions. So it is necessary to analyse the concept of number inthe system of Neoplatonic thought. In the Neoplatonic hierarchy of theuniverse both numeric sphere and music are located at the source of allthe eidei, above them and (...) between the One (the first hypostasis) and theWorld Intelligence (the second hypostasis). Then music is considered inthe context of the relation between the uncreated Absolute (Tetrade A)and the created world (Tetrade B). Losev''s doctrine on the Tetrades Aand B (connected not by essence but by energies) is the importantmodification of Neoplatonism. Finally the article considers Losev''saccount of music in relation to the absolutized individual person. (shrink)

The original proof of the four-color theorem by Appel and Haken sparked a controversy when Tymoczko used it to argue that the justification provided by unsurveyable proofs carried out by computers cannot be a priori. It also created a lingering impression to the effect that such proofs depend heavily for their soundness on large amounts of computation-intensive custom-built software. Contra Tymoczko, we argue that the justification provided by certain computerized mathematical proofs is not fundamentally different from that provided by surveyable (...) proofs, and can be sensibly regarded as a priori. We also show that the aforementioned impression is mistaken because it fails to distinguish between proof search (the context of discovery) and proof checking (the context of justification). By using mechanized proof assistants capable of producing certificates that can be independently checked, it is possible to carry out complex proofs without the need to trust arbitrary custom-written code. We only need to trust one fixed, small, and simple piece of software: the proof checker. This is not only possible in principle, but is in fact becoming a viable methodology for performing complicated mathematical reasoning. This is evinced by a new proof of the four-color theorem that appeared in 2005, and which was developed and checked in its entirety by a mechanical proof system. (shrink)

Synchronic norms of theory choice, a traditional concern in scientific methodology, restrict the theories one can choose in light of given information. Diachronic norms of theory change, as studied in belief revision, restrict how one should change one’s current beliefs in light of new information. Learning norms concern how best to arrive at true beliefs. In this paper, we undertake to forge some rigorous logical relations between the three topics. Concerning, we explicate inductive truth conduciveness in terms of optimally direct (...) convergence to the truth, where optimal directness is explicated in terms of reversals and cycles of opinion prior to convergence. Concerning, we explicate Ockham’s razor and related principles of choice in terms of the information topology of the empirical problem context and show that the principles are necessary for reversal or cycle optimal convergence to the truth. Concerning, we weaken the standard principles of agm belief revision theory in intuitive ways that are also necessary for reversal or cycle optimal convergence. Then we show that some of our weakened principles of change entail corresponding principles of choice, completing the triangle of relations between,, and. (shrink)

I draw attention to a 12-page Vorarbeit to Kant’s Prolegomena from the so-called Scheffner-Nachlaß and argue that the parallel Kant draws there between the possibility of theoretical and practical synthetic a priori propositions provides important insight into the development of his account of practical autonomy in the Groundwork. Based on a brief sketch of the role synthetic a priori propositions play in the development of Kant’s critical philosophy, I conclude that for Kant the objective validity of any science depends on (...) the objective validity of a number of synthetic a priori propositions. (shrink)

When it comes to invasive manipulation of animals on the biological level, reactions of disgust are common and often influential on people’s moral judgments. As a case in point, the Belgian Blue, a breed of hyper-enhanced cattle which will serve as a case study for the present article, has historically been met with revulsion. Traditionally, in bio- and animal ethics, this ‘yuck factor,’ has been denied any productive role in proper moral justification, since rationalism is still a dominant paradigm in (...) those disciplines. This is not surprising since rationalism offers the fulfilment of certain expectations we have of morality, like universality, intersubjective communicability, and objectivity. Increasingly, however, the preconceptions of rationalism have been brought into question, both through empirical as well as philosophical insights. In this paper, we will explore a way in which researchers who are, accordingly, critical of rationalism, and who wish to take seriously the role disgust plays in the formation of moral judgments when it comes to biological manipulation of animals, can do so without abandoning those virtues of rationalism which make it such an appealing position. We will do so by offering what we call a ‘tempered’ kind of rationalism, that is, one which conceives of rationality in the terms of Mary Midgley, not as distinct from, but as a possible function of, well-ordered emotion. (shrink)

In this paper we consider some fragments of $$\textsf{IOpen}$$ (Robinson arithmetic $$\mathsf Q$$ with induction for quantifier-free formulas) proposed by Harvey Friedman and answer some questions he asked about these theories. We prove that $$\mathsf {I(lit)}$$ is equivalent to $$\textsf{IOpen}$$ and is not finitely axiomatizable over $$\mathsf Q$$, establish some inclusion relations between $$\mathsf {I(=)}, \mathsf {I(\ne )}, \mathsf {I(\leqslant )}$$ and $$\textsf{I} (\nleqslant )$$. We also prove that the set of diophantine equations solvable in models of $$\mathsf I (=)$$ (...) is (algorithmically) decidable. (shrink)

Translation of Celan’s and Lévinas’ Meridian. On the Topology of Meeting-Through-a-Caesura by Konstantin Sigov.

Книга представляет собой реконструкцию и анализ томистской концепции бессмертия человеческой души в общем контексте философии Фомы Аквинского.