Redrawing Kant's Philosophy of Mathematics

South African Journal of Philosophy 32 (3):235-247 (2013)

Joshua M. Hall
William Paterson University of New Jersey
This essay offers a strategic reinterpretation of Kant’s philosophy of mathematics in Critique of Pure Reason via a broad, empirically based reconception of Kant’s conception of drawing. It begins with a general overview of Kant’s philosophy of mathematics, observing how he differentiates mathematics in the Critique from both the dynamical and the philosophical. Second, it examines how a recent wave of critical analyses of Kant’s constructivism takes up these issues, largely inspired by Hintikka’s unorthodox conception of Kantian intuition. Third, it offers further analyses of three Kantian concepts vitally linked to that of drawing. It concludes with an etymologically based exploration of the seven clusters of meanings of the word drawing to gesture toward new possibilities for interpreting a Kantian philosophy of mathematics.
Keywords Immanuel Kant  philosophy of mathematics  constructivism
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DOI 10.1080/02580136.2013.837653
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Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
Opus postumum [Zbiór IV, Oktaventwurf].Immanuel Kant - 1993 - Studia Z Historii Filozofii 5 (2):17-30.

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