- intuitionistic arithmetic
- мат.интуиционистская арифметика
English-Russian scientific dictionary. 2008.
intuitionistic arithmetic
Смотреть что такое "intuitionistic arithmetic" в других словарях:
Intuitionistic logic — Intuitionistic logic, or constructive logic, is a symbolic logic system differing from classical logic in its definition of the meaning of a statement being true. In classical logic, all well formed statements are assumed to be either true or… … Wikipedia
Intuitionistic type theory — Intuitionistic type theory, or constructive type theory, or Martin Löf type theory or just Type Theory is a logical system and a set theory based on the principles of mathematical constructivism. Intuitionistic type theory was introduced by Per… … Wikipedia
Heyting arithmetic — In mathematical logic, Heyting arithmetic is an axiomatization of arithmetic in accordance with the philosophy of intuitionism. It is named after Arend Heyting, who first proposed it.Heyting arithmetic adopts the axioms of Peano arithmetic, but… … Wikipedia
Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… … Wikipedia
mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… … Universalium
Dialectica interpretation — In proof theory, the Dialectica interpretation [1] is a proof interpretation of intuitionistic arithmetic (Heyting arithmetic) into a finite type extension of primitive recursive arithmetic, the so called System T. It was developed by Kurt Gödel… … Wikipedia
Intuitionism — This article is about Intuitionism in mathematics and philosophical logic. For other uses, see Ethical intuitionism. In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach to mathematics as … Wikipedia
Gödel–Gentzen negative translation — In proof theory, the Gödel–Gentzen negative translation is a method for embedding classical first order logic into intuitionistic first order logic. It is one of a number of double negation translations that are of importance to the metatheory of … Wikipedia
Curry–Howard correspondence — A proof written as a functional program: the proof of commutativity of addition on natural numbers in the proof assistant Coq. nat ind stands for mathematical induction, eq ind for substitution of equals and f equal for taking the same function… … Wikipedia
Church's thesis (constructive mathematics) — In constructive mathematics, Church s thesis is the mathematical assertion that all total functions are recursive. It gets its name after the informal Church–Turing thesis, which states that every algorithm is in fact a recursive function, but… … Wikipedia
Sense and reference — Sinn redirects here. For other uses, see Sinn (disambiguation). Über Sinn und Bedeutung; click to read Sinn and bedeutung are usually translated, respectively, as sense and reference. Two different aspects of some terms meanings, a term s… … Wikipedia
