Provable
61Redwater, Texas — Infobox Settlement official name = Redwater, Texas settlement type = City nickname = motto = imagesize = image caption = image mapsize = 250px map caption = Location of Redwater, Texas mapsize1 = 250px map caption1 = subdivision type = Country… …
62Curry's paradox — For Paul Curry s optical illusion and dissection puzzle, see Missing square puzzle. Curry s paradox is a paradox that occurs in naive set theory or naive logics, and allows the derivation of an arbitrary sentence from a self referring sentence… …
63George Boolos — Infobox Person name = George Boolos birth date = birth date|1940|9|4|mf=y birth place = New York, New York, U.S. death date = death date and age|1996|5|27|1940|9|4|mf=y death place = Cambridge, Massachusetts, U.S.George Stephen Boolos (September… …
64Diagonal lemma — In mathematical logic, the diagonal lemma or fixed point theorem establishes the existence of self referential sentences in certain formal theories of the natural numbers specifically those theories that are strong enough to represent all… …
65Axiom of countable choice — The axiom of countable choice or axiom of denumerable choice, denoted ACω, is an axiom of set theory, similar to the axiom of choice. It states that any countable collection of non empty sets must have a choice function. Spelled out, this means… …
66CRYPTREC — is the Cryptography Research and Evaluation Committee set up by the Japanese Government to evaluate and recommend cryptographic techniques for government and industrial use. It is comparable in many respects to the European Union s NESSIE project …
67Tarski's undefinability theorem — Tarski s undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth… …
68Relevance (law) — Relevance, in the common law of evidence, is the tendency of a given item of evidence to prove or disprove one of the legal elements of the case, or to have probative value to make one of the elements of the case likelier or not. Evidence that is …
69Implementation of mathematics in set theory — This article examines the implementation of mathematical concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU, the version of Quine s New… …
70Proof of impossibility — A proof of impossibility, sometimes called a negative proof or negative result , is a proof demonstrating that a particular problem cannot be solved, or cannot be solved in general. Often proofs of impossibility have put to rest decades or… …
