Kant on the `symbolic construction' of mathematical concepts
Studies in History and Philosophy of Science Part A 29 (4):589-621 (1998)
| 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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Norman Kemp Smith (2003/1992). A Commentary to Kant's 'Critique of Pure Reason'. Palgrave Macmillan.
Houston Smit (1999). The Role of Reflection in Kant's Critique of Pure Reason. Pacific Philosophical Quarterly 80 (2):203–223.
A. C. Ewing (1938/1987). A Short Commentary on Kant's Critique of Pure Reason. University of Chicago Press.
Sebastian Gardner (1999). Routledge Philosophy Guidebook to Kant and the Critique of Pure Reason. Routledge.
Melissa McBay Merritt (2006). Science and the Synthetic Method of the Critique of Pure Reason. Review of Metaphysics 59 (3):517-539.
William Mark Goodwin (2010). Coffa's Kant and the Evolution of Accounts of Mathematical Necessity. Synthese 172 (3).
Lisa Shabel (2003). Reflections on Kant's Concept (and Intuition) of Space. Studies in History and Philosophy of Science Part A 34 (1):45-57.
Thomas Mormann (2009). Completions, Constructions, and Corollaries. In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.
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