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Kant and the exact sciences

Cambridge: Harvard University Press (1992)

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  1. Intellectualism, Relational Properties and the Divine Mind in Kant's Pre-Critical Philosophy.Christopher Insole - 2011 - Kantian Review 16 (3):399-427.
    I demonstrate that the pre-Critical Kant is essentialist and intellectualist about the relational properties of substances. That is to say, God can choose whether or not to create a substance, and whether or not to connect this substance with other substances, so as to create a world: but God cannot choose what the nature of the relational properties is, once the substance is created and connected. The divine will is constrained by the essences of substances. Nonetheless, Kant considers that essences (...)
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  • The Berlin Group and the Vienna Circle: Affinities and Divergences.Nikolay Milkov - 2013 - In Nikolay Milkov & Volker Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism. Berlin: Springer. pp. 3--32.
    The Berlin Group was an equal partner with the Vienna Circle as a school of scientific philosophy, albeit one that pursued an itinerary of its own. But while the latter presented its defining projects in readily discernible terms and became immediately popular, the Berlin Group, whose project was at least as sig-nificant as that of its Austrian counterpart, remained largely unrecognized. The task of this chapter is to distinguish the Berliners’ work from that of the Vienna Circle and to bring (...)
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  • Beauty in Proofs: Kant on Aesthetics in Mathematics.Angela Breitenbach - 2013 - European Journal of Philosophy 23 (4):955-977.
    It is a common thought that mathematics can be not only true but also beautiful, and many of the greatest mathematicians have attached central importance to the aesthetic merit of their theorems, proofs and theories. But how, exactly, should we conceive of the character of beauty in mathematics? In this paper I suggest that Kant's philosophy provides the resources for a compelling answer to this question. Focusing on §62 of the ‘Critique of Aesthetic Judgment’, I argue against the common view (...)
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  • (1 other version)Philosophy of Science A Personal Peek into the Future.Steven French & Michela Massimi - 2013 - Metaphilosophy 44 (3):230-240.
    In this opinion piece, the authors offer their personal and idiosyncratic views of the future of the philosophy of science, focusing on its relationship with the history of science and metaphysics, respectively. With regard to the former, they suggest that the Kantian tradition might be drawn upon both to render the history and philosophy of science more relevant to philosophy as a whole and to overcome the challenges posed by naturalism. When it comes to the latter, they suggest both that (...)
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  • Plato's Problem: An Introduction to Mathematical Platonism.Marco Panza & Andrea Sereni - 2013 - New York: Palgrave-Macmillan. Edited by Andrea Sereni & Marco Panza.
    What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on (...)
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  • Paneth’s epistemology of chemical elements in light of Kant’s Opus postumum.Farzad Mahootian - 2013 - Foundations of Chemistry 15 (2):171-184.
    Friedrich Paneth’s conception of “chemical element” has functioned as the official definition adopted by the International Union of Pure and Applied Chemistry since 1923. Paneth maintains a distinction between empirical and “transcendental” concepts of element; furthermore, chemical science requires fluctuation between the two. The origin of the empirical-transcendental split is found in Immanuel Kant’s classic Critique of Pure Reason (1781/1787). The present paper examines Paneth’s foundational concept of element in light of Kant’s attempt, late in life, to revoke key distinctions (...)
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  • Kant and real numbers.Mark van Atten - unknown
    Kant held that under the concept of √2 falls a geometrical magnitude, but not a number. In particular, he explicitly distinguished this root from potentially infinite converging sequences of rationals. Like Kant, Brouwer based his foundations of mathematics on the a priori intuition of time, but unlike Kant, Brouwer did identify this root with a potentially infinite sequence. In this paper I discuss the systematical reasons why in Kant's philosophy this identification is impossible.
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  • The early Kant’s Newtonianism.Eric Watkins - 2013 - Studies in History and Philosophy of Science Part A 44 (3):429-437.
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  • Leibniz in the Eighteenth Century: Herder's Critical Reflections on the Principles of Nature and Grace.Nigel DeSouza - 2012 - British Journal for the History of Philosophy 20 (4):773-795.
    The subject of this article is Herder’s unique conception of the soul-body relationship and its divergence from and dependence on Leibniz. Herder’s theory is premised on a rejection of the windowlessness of monads in two important respects: interaction between material bodies (as gleaned from Crusius and Kant) and interaction between the soul and body. Herder’s theory depends on Leibniz insofar as it agrees with the intimate connection Leibniz posits between the soul and the body, as his epistemology demonstrates, with, however, (...)
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  • Comments on Graham Bird’s The Revolutionary Kant.Kenneth R. Westphal - 2011 - Kantian Review 16 (2):1-11.
    My contribution to a book symposium on Graham’s commentary on Kant’s Critique of Pure Reason, sponsored by the North American and the UK Kant Societies, held in conjunction with the Central Division Meeting of the American Philosophical Association, Chicago, 20 February 2009. Comments also delivered by Adrian Moore, Gary Banham, Jill Buroker and Manfred Kuehn, with relplies by Graham Bird.
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  • Kant on geometry and spatial intuition.Michael Friedman - 2012 - Synthese 186 (1):231-255.
    I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain why Kant (...)
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  • The Non-Conceptuality of the Content of Intuitions: A New Approach.Clinton Tolley - 2013 - Kantian Review 18 (1):107-36.
    There has been considerable recent debate about whether Kant's account of intuitions implies that their content is conceptual. This debate, however, has failed to make significant progress because of the absence of discussion, let alone consensus, as to the meaning of ‘content’ in this context. Here I try to move things forward by focusing on the kind of content associated with Frege's notion of ‘sense ’, understood as a mode of presentation of some object or property. I argue, first, that (...)
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  • Extension and Measurement: A Constructivist Program from Leibniz to Grassmann.Erik C. Banks - 2013 - Studies in History and Philosophy of Science Part A 44 (1):20-31.
    Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.
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  • Extending the Dynamics of Reason.Michael Friedman - 2011 - Erkenntnis 75 (3):431-444.
    What I call the dynamics of reason is a post-Kuhnian approach to the history and philosophy of science articulating a relativized and historicized version of the Kantian conception of the rationality and objectivity of the modern physical sciences. I here discuss two extensions of this approach. I argue that, although the relativized standards of rationality in question change over time, the particular way in which they do this still preserves the trans-historical rationality of the entire process. I also make a (...)
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  • Kant's Philosophy of Geometry--On the Road to a Final Assessment.L. Kvasz - 2011 - Philosophia Mathematica 19 (2):139-166.
    The paper attempts to summarize the debate on Kant’s philosophy of geometry and to offer a restricted area of mathematical practice for which Kant’s philosophy would be a reasonable account. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form . Kant’s philosophy of geometry can be interpreted as a reconstruction of geometry based on one of these forms — the projective form . If this is correct, Kant’s philosophy is a reasonable reconstruction of such theories as projective geometry; (...)
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  • Hermann Cohen’s History and Philosophy of Science.Lydia Patton - 2004 - Dissertation, Mcgill University
    In my dissertation, I present Hermann Cohen's foundation for the history and philosophy of science. My investigation begins with Cohen's formulation of a neo-Kantian epistemology. I analyze Cohen's early work, especially his contributions to 19th century debates about the theory of knowledge. I conclude by examining Cohen's mature theory of science in two works, The Principle of the Infinitesimal Method and its History of 1883, and Cohen's extensive 1914 Introduction to Friedrich Lange's History of Materialism. In the former, Cohen gives (...)
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  • Kant and the Conventionality of Simultaneity.Adrian Bardon - 2010 - British Journal for the History of Philosophy 18 (5):845-856.
    Kant’s three Analogies of Experience, in his Critique of Pure Reason, represent a highly condensed attempt to establish the metaphysical foundations of Newtonian physics. His strategy is to show that the organization of experience in terms of a world of enduring substances undergoing mutual causal interaction is a necessary condition of the temporal ordering even of one’s own subjective states, and thus of coherent experience itself. In his Third Analogy—an examination of the necessary conditions of judgments of simultaneous existence—he argues (...)
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  • Michael Friedman on Kant and Newton.William Harper - 2000 - Dialogue 39 (2):279-.
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  • A formalization of kant’s transcendental logic.Theodora Achourioti & Michiel van Lambalgen - 2011 - Review of Symbolic Logic 4 (2):254-289.
    Although Kant (1998) envisaged a prominent role for logic in the argumentative structure of his Critique of Pure Reason, logicians and philosophers have generally judged Kantgeneralformaltranscendental logics is a logic in the strict formal sense, albeit with a semantics and a definition of validity that are vastly more complex than that of first-order logic. The main technical application of the formalism developed here is a formal proof that Kants logic is after all a distinguished subsystem of first-order logic, namely what (...)
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  • Kant on the imagination and geometrical certainty.Mary Domski - 2010 - Perspectives on Science 18 (4):409-431.
    My goal in this paper is to develop our understanding of the role the imagination plays in Kant’s Critical account of geometry, and I do so by attending to how the imagination factors into the method of reasoning Kant assigns the geometer in the First Critique. Such an approach is not unto itself novel. Recent commentators, such as Friedman (1992) and Young (1992), have taken a careful look at the constructions of the productive imagination in pure intuition and highlighted the (...)
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  • A Wolff in Kant’s Clothing: Christian Wolff’s Influence on Kant’s Accounts of Consciousness, Self-Consciousness, and Psychology.Corey W. Dyck - 2011 - Philosophy Compass 6 (1):44-53.
    In attempts to come to grips with Kant’s thought, the influence of the philosophy of Christian Wolff (1679-1754) is often neglected. In this paper, I consider three topics in Kant’s philosophy of mind, broadly construed, where Wolff’s influence is particularly visible: consciousness, self-consciousness, and psychology. I argue that we can better understand Kant’s particular arguments and positions within this context, but also gain a more accurate sense of which aspects of Kant’s accounts derive from the antecedent traditions and which constitute (...)
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  • Continental Philosophy of Science.Babette Babich - 2007 - In Constantin V. Boundas (ed.), The Edinburgh Companion to the Twentieth Century Philosophies. Edinburgh. University of Edinburgh Press. pp. 545--558.
    Continental philosophies of science tend to exemplify holistic themes connecting order and contingency, questions and answers, writers and readers, speakers and hearers. Such philosophies of science also tend to feature a fundamental emphasis on the historical and cultural situatedness of discourse as significant; relevance of mutual attunement of speaker and hearer; necessity of pre-linguistic cognition based in human engagement with a common socio-cultural historical world; role of narrative and metaphor as explanatory; sustained emphasis on understanding questioning; truth seen as horizonal, (...)
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  • Kant, Reichenbach, and the Fate of A Priori Principles.Karin de Boer - 2010 - European Journal of Philosophy 19 (4):507-531.
    Abstract: This article contends that the relation of early logical empiricism to Kant was more complex than is often assumed. It argues that Reichenbach's early work on Kant and Einstein, entitled The Theory of Relativity and A Priori Knowledge (1920) aimed to transform rather than to oppose Kant's Critique of Pure Reason. One the one hand, I argue that Reichenbach's conception of coordinating principles, derived from Kant's conception of synthetic a priori principles, offers a valuable way of accounting for the (...)
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  • Completions, Constructions, and Corollaries.Thomas Mormann - 2009 - In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.
    According to Kant, pure intuition is an indispensable ingredient of mathematical proofs. Kant‘s thesis has been considered as obsolete since the advent of modern relational logic at the end of 19th century. Against this logicist orthodoxy Cassirer’s “critical idealism” insisted that formal logic alone could not make sense of the conceptual co-evolution of mathematical and scientific concepts. For Cassirer, idealizations, or, more precisely, idealizing completions, played a fundamental role in the formation of the mathematical and empirical concepts. The aim of (...)
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  • Kant’s conception of proper science.Hein van den Berg - 2011 - Synthese 183 (1):7-26.
    Kant is well known for his restrictive conception of proper science. In the present paper I will try to explain why Kant adopted this conception. I will identify three core conditions which Kant thinks a proper science must satisfy: systematicity, objective grounding, and apodictic certainty. These conditions conform to conditions codified in the Classical Model of Science. Kant’s infamous claim that any proper natural science must be mathematical should be understood on the basis of these conditions. In order to substantiate (...)
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  • Intuition and Nature in Kant and Goethe.Jennifer Mensch - 2009 - European Journal of Philosophy 19 (3):431-453.
    Abstract: This essay addresses three specific moments in the history of the role played by intuition in Kant's system. Part one develops Kant's attitude toward intuition in order to understand how ‘sensible intuition’ becomes the first step in his development of transcendental idealism and how this in turn requires him to reject the possibility of an ‘intellectual intuition’ for human cognition. Part two considers the role of Jacobi when it came to interpreting both Kant's epistemic achievement and what were taken (...)
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  • The key to all metaphysics: Kant's letter to Herz, 1772.Jennifer Mensch - 2007 - Kantian Review 12 (2):109-127.
    Kant's 1772 letter to Markus Herz is celebrated for its marking the ‘Critical turn’ in Kant's thought, a turn that would move Kant away from the speculative metaphysics of the 1750s towards the Critical philosophy of 1781. It is here, seemingly for the first time, that Kant asks the question concerning the relationship between concepts and objects, telling his former pupil that the answer to this question ‘constitutes the key to the whole secret of hitherto still obscure metaphysics.’ For anyone (...)
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  • Reason, freedom and Kant: An exchange.Robert Hanna & A. W. Moore - 2007 - Kantian Review 12 (1):113-133.
    According to Kant, being purely rational or purely reasonable and being autonomously free are one and the same thing. But how can this be so? How can my innate capacity for pure reason ever motivate me to do anything, whether the right thing or the wrong thing? What I will suggest is that the fundamental connection between reason and freedom, both for Kant and in reality, is precisely our human biological life and spontaneity of the will, a conjunctive intrinsic structural (...)
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  • Causality.Jessica M. Wilson - 2005 - In Sahotra Sarkar & Jessica Pfeifer (eds.), The Philosophy of Science: An Encyclopedia. New York: Routledge. pp. 90--100.
    Arguably no concept is more fundamental to science than that of causality, for investigations into cases of existence, persistence, and change in the natural world are largely investigations into the causes of these phenomena. Yet the metaphysics and epistemology of causality remain unclear. For example, the ontological categories of the causal relata have been taken to be objects (Hume 1739), events (Davidson 1967), properties (Armstrong 1978), processes (Salmon 1984), variables (Hitchcock 1993), and facts (Mellor 1995). (For convenience, causes and effects (...)
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  • The rise of empiricism: William James, Thomas hill green, and the struggle over psychology.Alexander Klein - 2007 - Dissertation, Indiana University, Bloomington
    The concept of empiricism evokes both a historical tradition and a set of philosophical theses. The theses are usually understood to have been developed by Locke, Berkeley, and Hume. But these figures did not use the term “empiricism,” and they did not see themselves as united by a shared epistemology into one school of thought. My dissertation analyzes the debate that elevated the concept of empiricism (and of an empiricist tradition) to prominence in English-language philosophy. -/- In the 1870s and (...)
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  • Logical constants.John MacFarlane - 2008 - Mind.
    Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...)
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  • Kant’s View of the Mind and Consciousness of Self.Andrew Brook - 2008 - Stanford Encyclopedia of Philosophy.
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  • The point of Kant's axioms of intuition.Daniel Sutherland - 2005 - Pacific Philosophical Quarterly 86 (1):135–159.
    Kant's Critique of Pure Reason makes important claims about space, time and mathematics in both the Transcendental Aesthetic and the Axioms of Intuition, claims that appear to overlap in some ways and contradict in others. Various interpretations have been offered to resolve these tensions; I argue for an interpretation that accords the Axioms of Intuition a more important role in explaining mathematical cognition than it is usually given. Appreciation for this larger role reveals that magnitudes are central to Kant's philosophy (...)
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  • Fréchet and the logic of the constitution of abstract spaces from concrete reality.Luis Carlos Arboleda & Luis Cornelio Recalde - 2003 - Synthese 134 (1-2):245 - 272.
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  • Russell and the universalist conception of logic.Ian Proops - 2007 - Noûs 41 (1):1–32.
    The paper critically scrutinizes the widespread idea that Russell subscribes to a "Universalist Conception of Logic." Various glosses on this somewhat under-explained slogan are considered, and their fit with Russell's texts and logical practice examined. The results of this investigation are, for the most part, unfavorable to the Universalist interpretation.
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  • Frege, Kant, and the logic in logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
    Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...)
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  • Lisa A. Shabel. Mathematics in Kant's critical philosophy: Reflections on mathematical practice. Studies in philosophy outstanding dissertations, Robert Nozick, ed. new York & London: Routledge, 2003. ISBN 0-415-93955-0. Pp. 178 (cloth). [REVIEW]René Jagnow - 2007 - Philosophia Mathematica 15 (3):366-386.
    In this interesting and engaging book, Shabel offers an interpretation of Kant's philosophy of mathematics as expressed in his critical writings. Shabel's analysis is based on the insight that Kant's philosophical standpoint on mathematics cannot be understood without an investigation into his perception of mathematical practice in the seventeenth and eighteenth centuries. She aims to illuminate Kant's theory of the construction of concepts in pure intuition—the basis for his conclusion that mathematical knowledge is synthetic a priori. She does this through (...)
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  • Systematicity, the Life Sciences, and the Possibility of Laws Concerning Life.Hein van den Berg - forthcoming - In Gabriele Gava, Thomas Sturm & Achim Vesper (eds.), Kant and the Systematicity of the Sciences. New York: Routledge.
    In this paper I discuss in what sense physics, chemistry, and the life sciences constitute a systematic unity according to Kant. I start by discussing Christian Wolff’s views on the hierarchy of sciences. I then argue that in one specific sense physics, chemistry and several life sciences constitute a unity: physics and chemistry provide statements that can be used to provide proofs in the life sciences. However, the unity of physics, chemistry, and the life sciences is limited in scope, since (...)
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  • Explanation, teleology, and analogy in natural history and comparative anatomy around 1800: Kant and Cuvier.Hein van den Berg - 2024 - Studies in History and Philosophy of Science Part A 105 (C):109-119.
    This paper investigates conceptions of explanation, teleology, and analogy in the works of Immanuel Kant (1724-1804) and Georges Cuvier (1769-1832). Richards (2000, 2002) and Zammito (2006, 2012, 2018) have argued that Kant’s philosophy provided an obstacle for the project of establishing biology as a proper science around 1800. By contrast, Russell (1916), Outram (1986), and Huneman (2006, 2008) have argued, similar to suggestions from Lenoir (1989), that Kant’s philosophy influenced the influential naturalist Georges Cuvier. In this article, I wish to (...)
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  • Hamilton, Hamiltonian Mechanics, and Causation.Christopher Gregory Weaver - 2023 - Foundations of Science:1-45.
    I show how Sir William Rowan Hamilton’s philosophical commitments led him to a causal interpretation of classical mechanics. I argue that Hamilton’s metaphysics of causation was injected into his dynamics by way of a causal interpretation of force. I then detail how forces are indispensable to both Hamilton’s formulation of classical mechanics and what we now call Hamiltonian mechanics (i.e., the modern formulation). On this point, my efforts primarily consist of showing that the contemporary orthodox interpretation of potential energy is (...)
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  • The Frege–Hilbert controversy in context.Tabea Rohr - 2023 - Synthese 202 (1):1-30.
    This paper aims to show that Frege’s and Hilbert’s mutual disagreement results from different notions of Anschauung and their relation to axioms. In the first section of the paper, evidence is provided to support that Frege and Hilbert were influenced by the same developments of 19th-century geometry, in particular the work of Gauss, Plücker, and von Staudt. The second section of the paper shows that Frege and Hilbert take different approaches to deal with the problems that the developments in 19th-century (...)
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  • Rationalism in Science.David Stump - 2005 - In Alan Jean Nelson (ed.), A Companion to Rationalism. Oxford: Wiley-Blackwell. pp. 408–424.
    I survey the debate over rationalism and empiricism in science. This chapter contains sections titled: The New Experimental Science as a Challenge to Intuition, Geometry and Intuition, The Mathematical Tradition and Theoretical Science.
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  • Ideology as Relativized A Priori: On the Mind's Relation to the Social World.Sabina Vaccarino Bremner & Chloé de Canson - forthcoming - Political Philosophy.
    We propose an account of the subject’s cognition and its relation to the world that allows for an articulation of the phenomenon of ideology. We argue that ideology is a form of what we call ‘a priori activity’: it transcendentally conditions the intelligibility of thought and practice. But we draw from strands of post-Kantian philosophy of science and social philosophy in repudiating Kant’s view that the a priori is necessary and fixed. Instead, we relativize the a priori: we argue that (...)
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  • Theory, Evidence, Data: Themes from George E. Smith.Marius Stan & Christopher Smeenk - 2023 - Springer.
    A volume of papers inspired by the work of George E. Smith on confirmation and evidence in advanced science—from Newton's gravitation theory to the physics of molecules.
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  • Remarks on Kant's Post-Critical Conception of the Autonomy of Reason.Sabina Vaccarino Bremner - 2021 - In Camilla Serck-Hanssen & Beatrix Himmelmann (eds.), The Court of Reason: Proceedings of the 13th International Kant Congress. De Gruyter. pp. 1605-1614.
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  • Establishing the Existence of Things in Themselves.Banafsheh Beizaei - 2022 - History of Philosophy of Quarterly 39 (3):257-274.
    In the Critique of Pure Reason, Kant draws a distinction between appearances and things in themselves, characterizing the latter as uncognizable. While arguing that all we can cognize are appearances, Kant nevertheless maintains that there are thing in themselves. This has struck many as questionable: how can we be in a position to affirm, of things stipulated to be uncognizable, that they exist? In this paper, I take up the challenge of establishing the existence of things in themselves. I begin (...)
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  • The Apperception Engine.Richard Evans - 2022 - In Hyeongjoo Kim & Dieter Schönecker (eds.), Kant and Artificial Intelligence. De Gruyter. pp. 39-104.
    This paper describes an attempt to repurpose Kant’s a priori psychology as the architectural blueprint for a machine learning system. First, it describes the conditions that must be satisfied for the agent to achieve unity of experience: the intuitions must be connected, via binary relations, so as to satisfy various unity conditions. Second, it shows how the categories are derived within this model: the categories are pure unary predicates that are derived from the pure binary relations. Third, I describe how (...)
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  • Kant's Theory of Scientific Hypotheses in its Historical Context.Boris Demarest & Hein van den Berg - 2022 - Studies in History and Philosophy of Science Part A 92:12-19.
    This paper analyzes the historical context and systematic importance of Kant's hypothetical use of reason. It does so by investigating the role of hypotheses in Kant's philosophy of science. We first situate Kant’s account of hypotheses in the context of eighteenth-century German philosophy of science, focusing on the works of Wolff, Meier, and Crusius. We contrast different conceptions of hypotheses of these authors and elucidate the different theories of probability informing them. We then adopt a more systematic perspective to discuss (...)
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  • Handedness, Idealism, and Freedom.Desmond Hogan - 2021 - Philosophical Review 130 (3):385-449.
    Incongruent counterparts are pairs of objects which cannot be enclosed in the same spatial limits despite an exact similarity in magnitude, proportion, and relative position of their parts. Kant discerns in such objects, whose most familiar example is left and right hands, a “paradox” demanding “demotion of space and time to mere forms of our sensory intuition.” This paper aims at an adequate understanding of Kant’s enigmatic idealist argument from handed objects, as well as an understanding of its relation to (...)
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  • (1 other version)Kant's Views on Non-Euclidean Geometry.Michael Cuffaro - 2012 - In Lampert Fabio (ed.), Proceedings of the Canadian Society for History and Philosophy of Mathematics. Springer. pp. 42-54.
    Kant's arguments for the synthetic a priori status of geometry are generally taken to have been refuted by the development of non-Euclidean geometries. Recently, however, some philosophers have argued that, on the contrary, the development of non-Euclidean geometry has confirmed Kant's views, for since a demonstration of the consistency of non-Euclidean geometry depends on a demonstration of its equi-consistency with Euclidean geometry, one need only show that the axioms of Euclidean geometry have `intuitive content' in order to show that both (...)
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