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finitism

/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
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