Author:
Mancosu Paolo,Mugnai Massimo
Abstract
Abstract
Lambert made some contribution to a theory of relations. But the philosophically most pregnant contribution to the question of the possibility of recasting mathematics according to logic takes place with Kant. Kant claims that mathematics is synthetic a priori and that it cannot be reduced to conceptual analysis. Under the widespread assumption that logic and analysis go hand in hand, this also implies that logic is not sufficient to carry the burden of mathematical inference. Indeed, Michael Friedman’s interpretation of Kant sees Kant’s postulation of a priori intuition as a recognition on the part of Kant that the logic of his time (identified with syllogistic logic) was insufficient to account for mathematical reasoning. The chapter highlights how the debate on the possibility of recasting mathematical proofs in syllogistic terms is at the core of some of the major issues concerning Kant’s philosophy of mathematics and argues for a decoupling of analyticity and logicality.
Publisher
Oxford University PressOxford
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