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By Pierre Kerszberg

ISBN-10: 0585062129

ISBN-13: 9780585062129

This publication follows and expands the detrimental a part of Heidegger's perception bearing on Kant's critique: particularly, the conviction that transcendental wisdom can't be equated with the grounding of the optimistic sciences.

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In other words, the arbitrariness of any mathematical synthesis owes its very arbitrariness to the fact that, when mathematized, the infinite space and the infinite time of experience lose their fixed givenness. " The originality of Kant's theory comes into relief when compared with that of the modern champion of mathematics taken as the model of all philosophical understanding: Descartes. In the third of his Rules for the Direction of Mind, Descartes argues that knowledge in general (whether mathematical or other) can be obtained in no other way than by clear and evident intuition or by certain deduction.

Which] no longer signifies a movement but rather the completion of a movement" (rule 11). As a completed movement, deduction is essentially intuition. Just like Kant's, Descartes' rule of imagination "misses the mark," but only because it is an expedient (something practical) that can be dispensed with under certain conditions. Kant's rule is transcendental precisely inasmuch as the practical sense of rule in mathematics cannot function as the model of all knowledge; the completion of the sensible manifold by an act of thought is not possible.

Next page > < previous page page_23 next page > Page 23 (Schranke) presupposes something real that encloses or circumscribes, the boundary (Grenze), by contrast, is a simple negation without relation to anything else. Whereas the boundary is reassuring, because it makes us believe in the existence of a definitive wall, it is the very nature of the limit ceaselessly to renew the disquiet at the very heart of the being-ready-tohand of our factical existence. The chasm between the two senses of finitude is precisely what swallows up the Kantian antinomies.

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Critique and Totality by Pierre Kerszberg

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