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3 Jean Cavaillès: Grounding Thought in its Own History
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Published:December 2012
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Abstract
The philosopher of mathematics, Jean Cavaillès, developed a conception of mathematics that rejected Hilbert's programme of an axiomatic foundation, intuitionism, logicism, and the idea of placing mathematics on an empirical basis. Instead, he regarded mathematics as an autonomous formal discipline whose unity derives from its own historical movement. This historical movement is not governed by any fixed set of rules or teleological principle, but simply evolves through a series of problems, with no way of predicting the form its next stage will take. The idea of a formal discipline that evolves according to patterns established by its own history will be enormously important for understanding Foucault's conception of discourse.
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