incompleteness
11incompleteness — See incompletely. * * * …
12incompleteness — Synonyms and related words: absence, adulteration, beggary, broken thread, brokenness, defectibility, defectiveness, deficiency, deficit, deprivation, destitution, disconnectedness, disconnection, discontinuance, discontinuation, discontinuity,… …
13incompleteness — n. state of being incomplete or unfinished; defectiveness, imperfection …
14incompleteness — in·com·plete·ness …
15incompleteness theorem — noun Logic the theorem, proposed by the mathematician Kurt Gödel, that in any sufficiently powerful, logically consistent formulation of logic or mathematics there must be true formulas which are neither provable nor disprovable …
16incompleteness theorem — …
17Gödel's incompleteness theorems — In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… …
18Proof 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… …
19Godel's incompleteness theorem — noun see Godel s theorem …
20Gödel's incompleteness theorem — Logic, Math. 1. the theorem that states that in a formal logical system incorporating the properties of the natural numbers, there exists at least one formula that can be neither proved nor disproved within the system. 2. the corollary that the… …