• Thumbnail for Arend Heyting
    Arend Heyting (Dutch: [ˈaːrənt ˈɦɛitɪŋ]; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician. Heyting was a student of Luitzen Egbertus Jan...
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  • Boolean algebras, Heyting algebras form a variety axiomatizable with finitely many equations. Heyting algebras were introduced by Arend Heyting (1930) to formalize...
    44 KB (6,245 words) - 17:26, 5 November 2024
  • Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, of intuitionistic logic was proposed by L. E. J. Brouwer and Arend Heyting, and independently...
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  • with the philosophy of intuitionism. It is named after Arend Heyting, who first proposed it. Heyting arithmetic can be characterized just like the first-order...
    37 KB (6,263 words) - 11:59, 30 August 2024
  • given in various formulations by L. E. J. Brouwer, Arend Heyting and Andrey Kolmogorov (see Brouwer–Heyting–Kolmogorov interpretation) and Stephen Kleene (see...
    58 KB (6,359 words) - 20:23, 23 October 2024
  • Intuitionism in the 1920s. Birkhäuser. ISBN 3-7643-6536-6. Arend Heyting: Heyting, Arend (1971) [1956]. Intuitionism: An Introduction (3d rev. ed.)....
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  • Thumbnail for L. E. J. Brouwer
    Hilbert. Brouwer's ideas were subsequently taken up by his student Arend Heyting and Hilbert's former student Hermann Weyl. In addition to his mathematical...
    19 KB (2,148 words) - 19:16, 10 November 2024
  • developed by Arend Heyting to provide a formal basis for L. E. J. Brouwer's programme of intuitionism. From a proof-theoretic perspective, Heyting’s calculus...
    51 KB (7,741 words) - 06:43, 7 November 2024
  • Norwegian politician Arend Heyting (1898–1980), Dutch mathematician and logician Arend van 't Hoft (born 1933), Dutch racing cyclist Arend de Keysere (died...
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  • Thumbnail for Nonstandard analysis
    lies at the bottom of contemporary model theory. In 1973, intuitionist Arend Heyting praised nonstandard analysis as "a standard model of important mathematical...
    31 KB (3,972 words) - 04:00, 25 September 2024
  • Thumbnail for Begriffsschrift
    vertical negation stroke. This negation symbol was reintroduced by Arend Heyting in 1930 to distinguish intuitionistic from classical negation. It also...
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  • false and the as-yet-undetermined. This approach was later developed by Arend Heyting and L. E. J. Brouwer; see Łukasiewicz logic. Issues such as this have...
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  • intuitionism) A. A. Markov (forefather of Russian school of constructivism) Arend Heyting (formalized intuitionistic logic and theories) Per Martin-Löf (founder...
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  • Thumbnail for Intuition
    intuition that is not empirical. Intuitionistic logic was devised by Arend Heyting to accommodate this position (it has also been adopted by other forms...
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  • 1960), social scientist Richard D. Gill (born 1951), mathematician Arend Heyting (1898–1980), mathematician Gerardus 't Hooft (born 1946), physicist...
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  • Simon Blackburn, Matthew Chrisman, and Allan Gibbard, among others. Arend Heyting Constructivist epistemology Crispin Wright Critical realism (philosophy...
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  • logic based on Husserl's phenomenology, and this semantics was used by Arend Heyting in his own formalization. Becker struggled, somewhat unsuccessfully...
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  • priori into these systems. Mathematicians such as L. E. J. Brouwer and Arend Heyting have also contested the usefulness of the law of excluded middle in...
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  • 1912–1986) Leon Henkin (US, 1921–2006) Jacques Herbrand (France, 1908–1931) Arend Heyting (Netherlands, 1898–1980) David Hilbert (Germany, 1862–1943) Jaakko Hintikka...
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  • (Weyl spinors) in four spacetime dimensions. Arend Heyting would introduce Heyting algebra and Heyting arithmetic. The arrow, e.g., →, was developed...
    99 KB (11,512 words) - 04:54, 10 October 2024
  • Thumbnail for Problem of future contingents
    false and the as-yet-undetermined. This approach was later developed by Arend Heyting and L. E. J. Brouwer; see Łukasiewicz logic. Issues such as this have...
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  • it not to. Conventionalism Luitzen Egbertus Jan Brouwer (edited by Arend Heyting, Collected Works, North-Holland, 1975, p. 509. Logical Meanderings –...
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  • usefulness of formalized logic of any sort for mathematics. His student Arend Heyting postulated an intuitionistic logic, different from the classical Aristotelian...
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  • Thumbnail for Brouwer–Hilbert controversy
    development of intuitionism at its source was taken up by his student Arend Heyting. The nature of Hilbert's proof of the Hilbert basis theorem from 1888...
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  • Hess diagram – R. Hess Heusler alloy – Fritz Heusler Heyting algebra, arithmetic – Arend Heyting Hick's law, a.k.a. Hick–Hyman law – William Edmund Hick...
    72 KB (6,834 words) - 09:36, 13 October 2024
  • early twentieth century (including researchers such as L.E.J. Brouwer, Arend Heyting, and Evert Willem Beth). It considers Beth's Instituut voor Grondslagenonderzoek...
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  • systems now called S4 and S5 as variations of Lewis's system. 1930 - Arend Heyting develops an intuitionistic propositional calculus. 1931 – Kurt Gödel...
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  • the thought of the logicist school as developed by Bertrand Russell Arend Heyting (Enschede), presented the thought of the intuitionist school as developed...
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  • utmost limits which the intellect can attain in its self-unfolding. Arend Heyting 1968 Intuitionism sprang from the philosophy of mathematician L. E....
    15 KB (1,659 words) - 20:48, 25 September 2024
  • Ledenbestand (Digitaal Wetenschapshistorisch Centrum). Retrieved 3 May 2020. "Arend Heyting", KNAW Historisch Ledenbestand (Digitaal Wetenschapshistorisch Centrum)...
    62 KB (3,599 words) - 03:03, 2 June 2024