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词汇 logicism
释义

Definition of logicism in English:

logicism

noun ˈlɒdʒɪsɪz(ə)m
mass nounPhilosophy
  • The theory that all mathematics can ultimately be deduced from purely formal logical axioms, introduced by Frege and developed by Bertrand Russell.

    〔哲〕逻辑主义(认为所有的数学最终都可以用纯粹形式逻辑推理出来,由弗雷格开创,伯特兰·罗素发展)

    Example sentencesExamples
    • There was thus an affinity between logical positivism and logicism.
    • His doctrine differed substantially from the formalism of Hilbert and the logicism of Russell.
    • This aim makes Frege the first to fully develop the main thesis of logicism, that mathematics is reducible to logic.
    • Of equal significance during this same period was Russell's defence of logicism, the theory that mathematics was in some important sense reducible to logic.
    • They explicitly disavow the classical philosophies of formalism, logicism, Platonism, intuitionism, and social constructivism.

Derivatives

  • logicist

  • noun
    Philosophy
    • This goal is remarkably similar to those of the common sense logicists, but the research methodology is entirely different.
      Example sentencesExamples
      • It would build on the early work in axiomatizing branches of mathematics, as well as the monumental efforts of logicists like Frege in developing rigorous logical systems.
      • I don't think I am doing him an injustice if I say that epistemologically he was essentially a logicist and positivist.
      • The logicists were like the Aristolean view in that they approached mathematics from a logical viewpoint.
      • Of course if we are logicists and think that mathematics reduces to logic, and logic to the application of a single rule, then scepticism is appropriate.
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