intuitionistic
61Крипке, Сол Аарон — Сол Крипке Дата рождения: 13 ноября 1940(1940 11 13) (72 года) …
62Gödel's completeness theorem — is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… …
63Law of excluded middle — This article uses forms of logical notation. For a concise description of the symbols used in this notation, see Table of logic symbols. In logic, the law of the excluded middle states that the propositional calculus formula P ∨ ¬ P ( P or not P… …
64Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …
65Multi-valued logic — Multi valued logics are logical calculi in which there are more than two truth values. Traditionally, logical calculi are two valued that is, there are only two possible truth values (i.e. truth and falsehood) for any proposition to take. An… …
66Russell's paradox — Part of the foundations of mathematics, Russell s paradox (also known as Russell s antinomy), discovered by Bertrand Russell in 1901, showed that the naive set theory of Frege leads to a contradiction.It might be assumed that, for any formal… …
67Andrey Kolmogorov — Infobox Scientist name = Andrey Kolmogorov birth date = birth date|1903|4|25 birth place = Tambov, Imperial Russia nationality = Russian death date = death date and age|1987|10|20|1903|4|25 death place = Moscow, USSR field = Mathematician work… …
68Combinatory logic — Not to be confused with combinational logic, a topic in digital electronics. Combinatory logic is a notation introduced by Moses Schönfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been… …
69Foundations of mathematics — is a term sometimes used for certain fields of mathematics, such as mathematical logic, axiomatic set theory, proof theory, model theory, and recursion theory. The search for foundations of mathematics is also a central question of the philosophy …
70Proof theory — is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively defined data structures such as plain lists, boxed… …
