Synthesis, Sensibility, and Kant's Philosophy of Mathematics
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:135 - 144 (1986)
| Abstract | 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 | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,664 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesR. 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).
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 21 (1).
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? Journal for General Philosophy of Science 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.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2011-05-29Total downloads1 ( #274,602 of 549,013 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
