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# metamathematics

The theory of formal languages powerful enough to serve as the language of mathematics. In a formal metamathematical treatment, the formulae that occur in mathematics: axioms, theorems, and proofs, are treated as themselves mathematical objects, and theorems established about them. Major metamathematical results include Gödel's theorems and Church's theorem.

Philosophy dictionary. . 2011.

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• Metamathematics — is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other mathematical theories. Metamathematical metatheorems about mathematics itself were originally… …   Wikipedia

• metamathematics — 1890, from META (Cf. meta ) + MATHEMATICS (Cf. mathematics) …   Etymology dictionary

• metamathematics — [met΄ə math΄ə mat′iks] n. the logical study of the nature and validity of mathematical reasoning and proof …   English World dictionary

• metamathematics — noun plural but usually singular in construction Date: circa 1890 a field of study concerned with the formal structure and properties (as the consistency and completeness of axioms) of mathematical systems • metamathematical adjective …   New Collegiate Dictionary

• metamathematics — metamathematical, adj. metamathematician /met euh math euh meuh tish euhn/, n. /met euh math euh mat iks/, n. (used with a sing. v.) the logical analysis of the fundamental concepts of mathematics, as number, function, etc. [1885 90; META +… …   Universalium

• metamathematics — noun A branch of mathematics dealing with mathematical systems and their nature …   Wiktionary

• metamathematics — met•a•math•e•mat•ics [[t]ˌmɛt əˌmæθ əˈmæt ɪks[/t]] n. (used with a sing. v.) math. the study of fundamental concepts of mathematics, as number and function • Etymology: 1885–90 met a•math e•mat′i•cal, adj …   From formal English to slang

• metamathematics — noun the logical analysis of mathematical reasoning • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑pure mathematics …   Useful english dictionary

• metamathematical — metamathematics …   Philosophy dictionary

• Alfred Tarski — Infobox scientist name = Alfred Tarski caption = birth date = birth date|1901|01|14 birth place = Warsaw, Poland (under Russian rule at the time) death date = death date|1983|10|26 death place = Berkeley, California fields = Mathematics, logic,… …   Wikipedia