Kant on the `symbolic construction' of mathematical concepts

Studies in History and Philosophy of Science Part A 29 (4):589-621 (1998)
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Abstract

In the chapter of the Critique of Pure Reason entitled ‘The Discipline of Pure Reason in Dogmatic Use’, Kant contrasts mathematical and philosophical knowledge in order to show that pure reason does not (and, indeed, cannot) pursue philosophical truth according to the same method that it uses to pursue and attain the apodictically certain truths of mathematics. In the process of this comparison, Kant gives the most explicit statement of his critical philosophy of mathematics; accordingly, scholars have typically focused their interpretations and criticisms of Kant’s conception of mathematics on this small section of the Critique.

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Lisa Shabel
Ohio State University

Citations of this work

Beauty in Proofs: Kant on Aesthetics in Mathematics.Angela Breitenbach - 2013 - European Journal of Philosophy 23 (4):955-977.
The Role of Magnitude in Kant’s Critical Philosophy.Daniel Sutherland - 2004 - Canadian Journal of Philosophy 34 (3):411-441.
Spatial representation, magnitude and the two stems of cognition.Thomas Land - 2014 - Canadian Journal of Philosophy 44 (5-6):524-550.

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References found in this work

Kritik der reinen Vernunft.Immanuel Kant - 2020 - Walter de Gruyter GmbH & Co KG.
Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
Kant and the exact sciences.Michael Friedman - 1992 - Cambridge: Harvard University Press.
Theoretical philosophy, 1755-1770.Immanuel Kant - 1992 - New York: Cambridge University Press. Edited by David Walford & Ralf Meerbote.
Kant's Prolegomena to any future metaphysics.Immanuel Kant, Paul Carus & James W. Ellington - 1902 - Chicago,: The Open court publishing company; [etc., etc.]. Edited by Paul Carus.

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