Definition of intuitionism in US English:


(also intuitionalism)


  • 1The theory that primary truths and principles (especially those of ethics and metaphysics) are known directly by intuition.

    • ‘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.
      • ‘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.’