Mathematical  Culture and Thought

Mathematical Culture and Thought

Mathematical Models: A Sketch for the Philosophy of Mathematics

Document Type : Translation

Author
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Abstract
The aim of this note is to encourage a renewed study of the philosophy of
mathematics, a subject dormant since about 1931. This date marks the end of a period of activity
centered around what seemed to be a "crisis" in the foundations. That crisis, initiated by
paradoxes such as the Russell paradox of the "set of all sets not members of themselves," led to
the development of three competing schools in the philosophy of mathematics: Logicism,
Formalism, and Intuitionism.
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Mac Lane, S.,  Mathematical models: A sketch for the philosophy of mathematics, Amer. Math. Monthly,   88 (1981), 462-472.