incompleteness
41Consistency — For other uses, see Consistency (disambiguation). In logic, a consistent theory is one that does not contain a contradiction.[1] The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a …
42List of mathematical proofs — A list of articles with mathematical proofs:Theorems of which articles are primarily devoted to proving them: See also: *Bertrand s postulate and a proof *Estimation of covariance matrices *Fermat s little theorem and some proofs *Gödel s… …
43Mechanism (philosophy) — Mechanism is the belief that natural wholes (principally living things) are like machines or artifacts, composed of parts lacking any intrinsic relationship to each other, and with their order imposed from without. Thus, the source of an apparent …
44On Formally Undecidable Propositions of Principia Mathematica and Related Systems — This article describes the publication details of a famous paper in mathematical logic. For information about the theorems proved in this paper, see Gödel s incompleteness theorems. Über formal unentscheidbare Sätze der Principia Mathematica und… …
45Robinson arithmetic — In mathematics, Robinson arithmetic, or Q, is a finitely axiomatized fragment of Peano arithmetic (PA), first set out in Robinson (1950). Q is essentially PA without the axiom schema of induction. Even though Q is much weaker than PA, it is still …
46Jacques Bouveresse — (born August 20, 1940 in Épenoy) is a philosopher who has written on subjects including Ludwig Wittgenstein, Robert Musil, Karl Kraus, philosophy of science, epistemology, philosophy of mathematics and analytical philosophy. As a result of his… …
47Doxastic logic — is a modal logic concerned with reasoning about beliefs. The term doxastic derives from the ancient Greek δόξα, doxa, which means belief. Typically, a doxastic logic uses Bx to mean It is believed that x is the case, and the set denotes a set of… …
48Milky Way Galaxy — Large spiral galaxy (roughly 150,000 light years in diameter) that contains Earth s solar system. It includes the multitude of stars whose light is seen as the Milky Way, the irregular luminous band that encircles the sky defining the plane of… …
49Criticism of the Quran — Part of a series on the Quran …
50Non-standard model of arithmetic — In mathematical logic, a nonstandard model of arithmetic is a model of (first order) Peano arithmetic that contains nonstandard numbers. The standard model of arithmetic consists of the set of standard natural numbers {0, 1, 2, …}. The elements… …
