Canadian Journal of Philosophy 27 (4):489 - 512 (1997)

Emily Carson
McGill University
It's well-known that Kant believed that intuition was central to an account of mathematical knowledge. What that role is and how Kant argues for it are, however, still open to debate. There are, broadly speaking, two tendencies in interpreting Kant's account of intuition in mathematics, each emphasizing different aspects of Kant's general doctrine of intuition. On one view, most recently put forward by Michael Friedman, this central role for intuition is a direct result of the limitations of the syllogistic logic available to Kant. On this view, Kant's reasons for introducing intuition are taken to be logical or mathematical, rather than philosophical. The other tendency, which I shall try to develop here, emphasizes an epistemological or phenomenological role for intuition in mathematics arising out of what may loosely be called Kant's ‘antiformalism.’This paper, which focuses specifically on the case of geometry, falls into two parts. First, I consider Kant's discussion of intuition in the Metaphysical Exposition of the concept of space.
Keywords Contemporary Philosophy  General Interest
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ISBN(s) 0045-5091
DOI 10.1080/00455091.1997.10717483
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References found in this work BETA

Singular Terms and Intuitions In Kant’s Epistemology.Manley Thompson - 1972 - Review of Metaphysics 26 (2):314 - 343.
The Kant-Eberhard Controversy by Henry Allison. [REVIEW]Wolfgang Schwarz - 1974 - Philosophy and Phenomenological Research 34 (4):606.
Kant’s Theory of Science.Gordon Nagel - 1979 - Philosophy of Science 46 (4):654-655.
Immanuel Kant's Critique of Pure Reason.T. M. G. - 1936 - Journal of Philosophy 33 (1):24.

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