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Arend Heyting information


Arend Heyting
Arend Heyting (1967)
Born(1898-05-09)9 May 1898
Amsterdam, Netherlands
Died9 July 1980(1980-07-09) (aged 82)
Lugano, Switzerland
NationalityDutch
Alma materUniversity of Amsterdam
Known forHeyting algebra
Heyting arithmetic
Heyting field
Brouwer–Heyting–Kolmogorov interpretation
Intuitionistic logic
Contributions to intuitionism
Scientific career
FieldsMathematics
InstitutionsUniversity of Amsterdam
Doctoral advisorL. E. J. Brouwer
Doctoral studentsAnne Sjerp Troelstra
Dirk van Dalen

Arend Heyting (Dutch: [ˈɦɛi̯tɪŋ]; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician.

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Arend Heyting

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Arend Heyting (Dutch: [ˈɦɛi̯tɪŋ]; 9 May 1898 – 9 July 1980) was a Dutch mathematician and logician. Heyting was a student of Luitzen Egbertus Jan Brouwer...

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Heyting algebra

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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...

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Heyting arithmetic

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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...

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Intuitionistic logic

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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...

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Intuitionism

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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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Nonstandard analysis

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lies at the bottom of contemporary model theory. In 1973, intuitionist Arend Heyting praised nonstandard analysis as "a standard model of important mathematical...

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Begriffsschrift

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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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Intuition

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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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Principle of bivalence

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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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Law of excluded middle

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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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Oskar Becker

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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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List of Dutch people

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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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List of logicians

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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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History of mathematical notation

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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...

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Philosophy of mathematics

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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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Problem of future contingents

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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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Definitions of mathematics

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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....

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Second Conference on the Epistemology of the Exact Sciences

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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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Scientific phenomena named after people

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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...

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