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logicism

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log⋅i⋅cism

[loj-uh-siz-uhm]
–noun Logic, Mathematics.
the doctrine, developed chiefly by Gottlob Frege and Bertrand Russell, that mathematics can be reduced to logic.

Origin:
1935–40; logic + -ism
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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logicism

noun
(philosophy) the philosophical theory that all of mathematics can be derived from formal logic 
WordNet® 3.0, © 2006 by Princeton University.
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