Definition of Heyting. Meaning of Heyting. Synonyms of Heyting

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Definition of Heyting

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Meaning of Heyting from wikipedia

- algebras, Heyting algebras form a variety axiomatizable with finitely many equations. Heyting algebras were introduced in 1930 by Arend Heyting to formalize...
- 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...
- the philosophy of intuitionism. It is named after Arend Heyting, who first proposed it. Heyting arithmetic can be characterized just like the first-order...
- In mathematical logic, the Brouwer–Heyting–Kolmogorov interpretation, or BHK interpretation, is an explanation of the meaning of proof in intuitionistic...
- especially in order theory, a complete Heyting algebra is a Heyting algebra that is complete as a lattice. Complete Heyting algebras are the objects of three...
- the third axiom may be called a weak Heyting field. Every such structure with decidable equality being a Heyting field is equivalent to excluded middle...
- and more generally, constructive mathematics, the truth values form a Heyting algebra. Such truth values may express various aspects of validity, including...
- 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 is...
- 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...
- existence properties are the "hallmarks" of constructive theories such as Heyting arithmetic and constructive set theories (Rathjen 2005). The disjunction...