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Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… … Wikipedia
Proof 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… … Wikipedia
Proof — • The establishment of a disputed or controverted matter by lawful means or arguments. Catholic Encyclopedia. Kevin Knight. 2006. Proof Proof … Catholic encyclopedia
Proof-theoretic semantics — is an approach to the semantics of logic that attempts to locate the meaning of propositions and logical connectives not in terms of interpretations, as in Tarskian approaches to semantics, but in the role that the proposition or logical… … Wikipedia
Proof coinage — means special early samples of a coin issue, historically made for checking the dies and for archival purposes, but nowadays often struck in greater numbers specially for coin collectors (numismatists). Many countries now issue them. Production… … Wikipedia
Means-ends analysis — Means Ends Analysis[1] (MEA) is a technique used in Artificial Intelligence for controlling search in problem solving computer programs. It is also a technique used at least since the 1950s as a creativity tool, most frequently mentioned in… … Wikipedia
proof´er — proof «proof», noun, adjective, verb. –n. 1. a way or means of showing beyond doubt the truth of something: »Is what you say a guess, or have you proof? SYNONYM(S): See syn. under evidence. (Cf. ↑evidence) 2. the establishment of the truth of… … Useful english dictionary
proof of the pudding is in the eating — This means that something can only be judged when it is tested or by its results. (It is often shortened to Proof of the pudding .) … The small dictionary of idiomes
Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… … Wikipedia
Proof 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… … Wikipedia