Kant on the `symbolic construction' of mathematical concepts

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 (2003). Reflections on Kant's Concept (and Intuition) of Space. Studies in History and Philosophy of Science Part A 34 (1):45-57.

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