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Foucault's ArchaeologyScience and Transformation$
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David Webb

Print publication date: 2012

Print ISBN-13: 9780748624218

Published to Edinburgh Scholarship Online: May 2013

DOI: 10.3366/edinburgh/9780748624218.001.0001

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The Mathematical A Priori

The Mathematical A Priori

Chapter:
6 The Mathematical A Priori
Source:
Foucault's Archaeology
Author(s):

David Webb

Publisher:
Edinburgh University Press
DOI:10.3366/edinburgh/9780748624218.003.0007

In The Order of Things, Foucault writes that the interest in formal languages opens up ‘the possibility, and the task, of applying a second critique of pure reason on the basis of new forms of the mathematical a priori’. My book argues that The Archaeology of Knowledge is intended to begin the work of such a critique, albeit one that is revealed as radically historical. This chapter traces the idea of a mathematical a priori back to Bachelard (who uses the expression) and Cavaillès.

Keywords:   Foucault, A priori, Mathematics, History, Constructivism, Bachelard, Cavaillès, Serres

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