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finitism

British  
/ ˈfaɪnaɪtˌɪzəm /

noun

  1. philosophy logic the view that only those entities may be admitted to mathematics that can be constructed in a finite number of steps, and only those propositions entertained whose truth can be proved in a finite number of steps Compare intuitionism

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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The philosopher Michael Dummett claimed that it involved full-blooded conventionalism, while Crispin Wright argued for its strict finitism.

From The Guardian ● Nov. 9, 2012

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