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单词 intuitionism
释义

Definition of intuitionism in English:

intuitionism

(also intuitionalism)
noun ɪntjʊˈɪʃ(ə)nɪz(ə)mˌɪnt(j)uˈɪʃəˌnɪzəm
mass nounPhilosophy
  • 1The theory that primary truths and principles (especially those of ethics and metaphysics) are known directly by intuition.

    Example sentencesExamples
    • This theory of intuitionism influenced later philosophers, in particular Rousseau and Bergson, but also the existentialists.
    • Historically, intuitionism has tended to be a kind of deontologism.
    • Fortunately, the notion that intuitionalism and empiricism exhaust the alternatives no longer universally obtains.
    • They both fail for open set logic, which is to say intuitionism, just as they both fail for its topological dual, closed set logic.
    • Although Dummett's work on deduction has its roots in the debate over intuitionism, it does not necessarily follow that, in every case, the alternative logic advocated by a Dummett-style anti-realist would be intuitionistic logic.
    1. 1.1 The theory that mathematical knowledge is based on intuition and mental construction, rejecting certain modes of reasoning and the notion of independent mathematical objects.
      Example sentencesExamples
      • Connections with intuitionistic mathematics were noticed early on and toposes are still used to investigate models of various aspects of intuitionism.
      • This bibliography is intended as a reference guide to works dealing with mathematical intuitionism.
      • Freudenthal studied the relation between axiomatic mathematics and reality, and this study led him to contribute to intuitionism, as well as to the application of mathematics to linguistics.
      • A corresponding slogan for intuitionism would be that in mathematics, to exist is to be constructed.
      • The authors, breaking with the intuitionism that had dominated eighteenth-century French treatises, updated the logic of geometry manuals.

Derivatives

  • intuitionist

  • noun & adjective
    Philosophy
    • He is an epistemological realist, an ethical intuitionist, and a political libertarian, too extreme for my tastes but always provocative.
      Example sentencesExamples
      • The intuitionists seldom differ from the rest of us in the number of facts referred to in describing how we come to understand logical statements and their relations.
      • But in none of his essays that deal with this issue does Gardner address any of the arguments that are put forth by other kinds of mathematicians like intuitionists or formalists.
      • These intuitionist approaches, whether at the level of specific precepts or general principles, are not only theoretically unsatisfying, but are also quite unhelpful in practical matters.
      • He was an intuitionist who stressed the essential role of human intuition in the foundations of mathematics.
 
 

Definition of intuitionism in US English:

intuitionism

(also intuitionalism)
nounˌint(y)o͞oˈiSHəˌnizəmˌɪnt(j)uˈɪʃəˌnɪzəm
Philosophy
  • 1The theory that primary truths and principles (especially those of ethics and metaphysics) are known directly by intuition.

    Example sentencesExamples
    • They both fail for open set logic, which is to say intuitionism, just as they both fail for its topological dual, closed set logic.
    • This theory of intuitionism influenced later philosophers, in particular Rousseau and Bergson, but also the existentialists.
    • Although Dummett's work on deduction has its roots in the debate over intuitionism, it does not necessarily follow that, in every case, the alternative logic advocated by a Dummett-style anti-realist would be intuitionistic logic.
    • Fortunately, the notion that intuitionalism and empiricism exhaust the alternatives no longer universally obtains.
    • Historically, intuitionism has tended to be a kind of deontologism.
    1. 1.1 The theory that mathematical knowledge is based on intuition and mental construction, rejecting certain modes of reasoning and the notion of independent mathematical objects.
      Example sentencesExamples
      • This bibliography is intended as a reference guide to works dealing with mathematical intuitionism.
      • Freudenthal studied the relation between axiomatic mathematics and reality, and this study led him to contribute to intuitionism, as well as to the application of mathematics to linguistics.
      • A corresponding slogan for intuitionism would be that in mathematics, to exist is to be constructed.
      • Connections with intuitionistic mathematics were noticed early on and toposes are still used to investigate models of various aspects of intuitionism.
      • The authors, breaking with the intuitionism that had dominated eighteenth-century French treatises, updated the logic of geometry manuals.
 
 
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