logicism

logicism
/loj"euh siz'euhm/, n. Logic, Math.
the doctrine, developed chiefly by Gottlob Frege and Bertrand Russell, that mathematics can be reduced to logic.
[1935-40; LOGIC + -ISM]

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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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      school of mathematical thought introduced by the 19th–20th-century German mathematician Gottlob Frege and the British mathematician Bertrand Russell, which holds that mathematics is actually logic. Logicists contend that all of mathematics can be deduced from pure logic, without the use of any specifically mathematical concepts, such as number or set. Compare formalism; intuitionism.

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Universalium. 2010.

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