David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:135 - 144 (1986)
This paper presents an interpretation of Kant's analytic/ synthetic distinction and of the capacity he terms "sensibility" in order to offer a new account of Kant's claim that mathematics consists primarily of synthetic judgments which involve intuition. In Section 1, it is argued that the analytic/synthetic distinction is based upon a theory of concepts going back to Aristotle which sees these as organizable into genus/species hierarchies. Analytic judgments are those whose predicates are genus-related to the subject while synthetic judgments do not exhibit a genus/species relation between the predicate and the subject of the judgment. Section 2 considers the nature of sensibility which is argued to involve the discernment of mereological relations. Mathematics is then seen to involve the formation of concepts of these relations.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
R. Lanier Anderson (2004). It Adds Up After All: Kant's Philosophy of Arithmetic in Light of the Traditional Logic. Philosophy and Phenomenological Research 69 (3):501–540.
Seung-Kee Lee (2009). The Synthetic a Priori in Kant and German Idealism. Archiv für Geschichte der Philosophie 91 (3):288-328.
Willem R. de Jong (2010). The Analytic-Synthetic Distinction and the Classical Model of Science: Kant, Bolzano and Frege. Synthese 174 (2):237-261.
R. Lanier Anderson (2008). Review: Comments on Wayne Martin, Theories of Judgment. [REVIEW] Philosophical Studies 137 (1):91-108.
Gabriele Gava (2013). Kant's Synthetic and Analytic Method in the Critique of Pure Reason and the Distinction Between Philosophical and Mathematical Syntheses. European Journal of Philosophy 23 (2).
Sun-joo Shin (1997). Kant's Syntheticity Revisited by Peirce. Synthese 113 (1):1-41.
Kristina Engelhard & Peter Mittelstaedt (2008). Kant's Theory of Arithmetic: A Constructive Approach? [REVIEW] Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 39 (2):245 - 271.
Ian Proops (2005). Kant's Conception of Analytic Judgment. Philosophy and Phenomenological Research 70 (3):588–612.
W. R. de Jong (1997). Kant's Theory of Geometrical Reasoning and the Analytic-Synthetic Distinction. On Hintikka's Interpretation of Kant's Philosophy of Mathematics. Studies in History and Philosophy of Science Part A 28 (1):141-166.
R. Lanier Anderson (2005). The Wolffian Paradigm and its Discontent: Kant's Containment Definition of Analyticity in Historical Context. Archiv für Geschichte der Philosophie 87 (1):22-74.
Adrian M. S. Piper (2009). Intuition and Concrete Particularity in Kant's Transcendental Aesthetic. In Francis Halsall, Julia Jansen & Tony O'Connor (eds.), Rediscovering Aesthetics: Transdisciplinary Voices From Art History, Philosophy, and Art Practice. Stanford University Press
John P. Burgess (2004). Quine, Analyticity and Philosophy of Mathematics. Philosophical Quarterly 54 (214):38–55.
Added to index2011-05-29
Total downloads5 ( #338,493 of 1,699,677 )
Recent downloads (6 months)1 ( #362,609 of 1,699,677 )
How can I increase my downloads?