crucial proof

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• crucial point — I noun conclusive point, conclusory point, convincing point, cornerstone, crisis, critical moment, crossroads, definitive point, determinative point, determining point, hour of decision, impelling point, juncture, key point, landmark, main point …   Law dictionary

• 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 — Synonyms and related words: Christophany, Ditto copy, Photostat, Satanophany, Xerox, Xerox copy, absolute indication, account, acid test, acquaintance, affirmation, airtight, ammunition, angelophany, announcement, appearance, argument, assay,… …   Moby Thesaurus

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• ancient Greek civilization — ▪ historical region, Eurasia Introduction       the period following Mycenaean civilization, which ended in about 1200 BC, to the death of Alexander the Great, in 323 BC. It was a period of political, philosophical, artistic, and scientific… …   Universalium

• United Kingdom — a kingdom in NW Europe, consisting of Great Britain and Northern Ireland: formerly comprising Great Britain and Ireland 1801 1922. 58,610,182; 94,242 sq. mi. (244,100 sq. km). Cap.: London. Abbr.: U.K. Official name, United Kingdom of Great… …   Universalium

• Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

• Critique of Pure Reason — Part of a series on Immanuel …   Wikipedia

• Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

• philosophy, Western — Introduction       history of Western philosophy from its development among the ancient Greeks to the present.       This article has three basic purposes: (1) to provide an overview of the history of philosophy in the West, (2) to relate… …   Universalium

• Judaism — /jooh dee iz euhm, day , deuh /, n. 1. the monotheistic religion of the Jews, having its ethical, ceremonial, and legal foundation in the precepts of the Old Testament and in the teachings and commentaries of the rabbis as found chiefly in the… …   Universalium