Definition of finitism in English:

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finitism

Pronunciation: /ˈfīnəˌtizəm/

noun

Philosophy & Mathematics
Rejection of the belief that anything can actually be infinite.
Example sentences
  • According to meaning finitism, the move to the next instance is not intuitive or interpretive but ‘blind’.
  • Dummett concludes that one route to such a local revisionism is a hard-headed finitism in which one denies that there is a determinate fact concerning the outcome of a procedure that has not been carried out.
  • The make believe world of predicate logic was a mere conservative extension of finitism.

Derivatives

finitist

noun
Example sentences
  • This axiom is problematic in some systems, and some people, finitists such as Hilbert, wanted a consistent way to talk about infinity that stemmed from proofs using finitary means.
  • The most unassailable way of reasoning is finitist.
  • The hard-headed finitist has to restrict logic even further than the intuitionist does.
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