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词汇 finitism
释义

Definition of finitism in English:

finitism

noun ˈfʌɪnʌɪtɪz(ə)mˈfīnəˌtizəm
mass nounMathematics Philosophy
  • Rejection of the belief that anything can actually be infinite.

    〔哲,数〕有穷论,有限论

    Example sentencesExamples
    • 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.
    • Of course, an analysis of the notion of finitism cannot be presented as a theorem.
    • The make believe world of predicate logic was a mere conservative extension of finitism.
    • Barnes built finitism into the core of his approach to social theory and to the analysis of social order.

Derivatives

  • finitist

  • adjective & noun
    Mathematics Philosophy
    • The hard-headed finitist has to restrict logic even further than the intuitionist does.
      Example sentencesExamples
      • 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.
      • Within a finitist framework, however, rules cannot be approached from the perspective of the individual because they are made up of continuous interactions.
      • The finitist account of concept application demands that each new application is determined by the factors and contingencies operative at that time.
      • The most unassailable way of reasoning is finitist.

Definition of finitism in US English:

finitism

nounˈfīnəˌtizəm
Mathematics Philosophy
  • Rejection of the belief that anything can actually be infinite.

    〔哲,数〕有穷论,有限论

    Example sentencesExamples
    • According to meaning finitism, the move to the next instance is not intuitive or interpretive but ‘blind’.
    • The make believe world of predicate logic was a mere conservative extension of finitism.
    • 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.
    • Of course, an analysis of the notion of finitism cannot be presented as a theorem.
    • Barnes built finitism into the core of his approach to social theory and to the analysis of social order.
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