# logicism

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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.

### Look at other dictionaries:

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• logicism — The approach to the philosophy of mathematics pioneered by Frege and Russell . According to logicism the truths of mathematics are logical truths, deducible by logical laws from basic logical axioms . The programme of showing this started with… …   Philosophy dictionary

• logicism — noun The doctrine that mathematics is a branch of logic in that some or all mathematics is reducible to logic. See Also: logicist …   Wiktionary

• Logicism — one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore all mathematics is reducible to logic. Bertrand Russell and Alfred North Whitehead championed this… …   Mini philosophy glossary

• logicism — log·i·cism …   English syllables

• logicism — noun (philosophy) the philosophical theory that all of mathematics can be derived from formal logic • Topics: ↑philosophy • Hypernyms: ↑philosophical doctrine, ↑philosophical theory …   Useful english dictionary

• logicist — logicism …   Philosophy dictionary

• Логицизм — (logicism), науч. филос. направление, исследующее основания математики и стремящееся свести понятия и принципы математики к понятиям и принципам логики формальной. В числе первых философов, предложивших этот подход, были Фреге и Рассел. Хотя Л.,… …   Народы и культуры

• mathematics, philosophy of — Branch of philosophy concerned with the epistemology and ontology of mathematics. Early in the 20th century, three main schools of thought called logicism, formalism, and intuitionism arose to account for and resolve the crisis in the foundations …   Universalium

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