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logicism

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logicism

In the philosophy of mathematics, the thesis that all mathematical propositions are expressible as or derivable from the propositions of pure logic. Gottlob Frege attempted to establish the thesis in his Die Grundlagen der Arithmetik (1884) and other works; Bertrand Russell argued for logicism in The Principles of Mathematics (1903) and attempted a formal proof with Alfred North Whitehead in Principia Mathematica (1910–13).
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