For another axiomatization of R, see Tarski's axiomatization of the reals. Properties Completeness. The main reason for introducing the reals is that the reals contain all limits.
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Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic ...
http://en.wikipedia.org/wiki/G%C3%B6del%27s_completeness_theorem
com·plete (k m-pl t) adj. com·plet·er, com·plet·est. 1. Having all necessary or normal parts, components, or steps; entire: a complete meal. 2. Botany Having all principal ...
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Definition from Wiktionary, a free dictionary
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Definition of completeness from the Merriam-Webster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games.
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adjective . 1. having all parts or elements; lacking nothing; whole; entire; full: a complete set of Mark Twain's writings. 2. finished; ended; concluded: a complete orbit.
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Quick definitions (completeness) ? noun: (logic) an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot ...
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Words and phrases matching your pattern: (We're restricting the list to terms we think are related to completeness, and sorting by relatedness.)
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Synonyms of completeness at Thesaurus.com. completeness definitions and translations. Crossword and puzzle games.
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completeness. Concept of the adequacy of a formal system that is employed both in proof theory and in model theory (see logic). In proof theory, a formal system is said to be ...
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complete. including all of the subdivisions of the whole. complete blood count (CBC) see blood count.
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A is a sequence in such that for all there exists such that for all we have . The of is the set of Cauchy sequences in modulo the equivalence relation in which two Cauchy ...
http://modular.fas.harvard.edu/papers/ant/html/node63.html
adjective. lacking no component part; full; whole; entire; brought to a conclusion; ended; finished; thorough; absolute to have complete confidence in someone; accomplished ...
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Whenever anything begins to disintegrate your life with Jesus Christ, turn to Him at once and ask Him to establish rest.
http://www.christianpost.com/article/20080820/completeness.htm
Com·plete·ness n. The state of being complete. ... Concept of the adequacy of a formal system that is employed both in proof theory and in model theory (see logic).
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Summary. Sufficient completeness is the property that every operation in a specification is defined on all valid inputs. It is important property both for developers of ...
http://maude.cs.uiuc.edu/tools/scc/
theory) complete metric space - A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind's axiom ...
http://encyclopedia2.thefreedictionary.com/Completeness+axiom
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