Kant's schematism and his philosophy of geometry

Kant's philosophy of geometry rests upon his doctrine of the "schematism" which I argue is formally identical to the ability to grass the middle term of an Aristotelian syllogism. The doctrine fails to avoid obscurities which were already present in Plato, Aristotle, and Hume
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DOI 10.1016/0039-3681(91)90037-S
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Mark Risjord (1990). The Sensible Foundation for Mathematics: A Defense of Kant's View. Studies in History and Philosophy of Science 21 (1):123-143.

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