Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Model_theory> ?p ?o }
- Model_theory abstract "In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic. The objects of study are models of theories in a formal language. We call a set of sentences in a formal language a theory; a model of a theory is a structure (e.g. an interpretation) that satisfies the sentences of that theory.Model theory recognises and is intimately concerned with a duality: It examines semantical elements (meaning and truth) by means of syntactical elements (formulas and proofs) of a corresponding language. To quote the first page of Chang & Keisler (1990):universal algebra + logic = model theory.Model theory developed rapidly during the 1990s, and a more modern definition is provided by Wilfrid Hodges (1997):model theory = algebraic geometry − fields,although model theorists are also interested in the study of fields. Other nearby areas of mathematics include combinatorics, number theory, arithmetic dynamics, analytic functions, and non-standard analysis.In a similar way to proof theory, model theory is situated in an area of interdisciplinarity among mathematics, philosophy, and computer science. The most prominent professional organization in the field of model theory is the Association for Symbolic Logic.".
- Model_theory wikiPageExternalLink MTluminy.pdf.
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- Model_theory wikiPageExternalLink 978-1-4419-1220-6.
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- Model_theory wikiPageWikiLink A_K_Peters,_Ltd..
- Model_theory wikiPageWikiLink Abraham_Robinson.
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- Model_theory wikiPageWikiLink Age_(model_theory).
- Model_theory wikiPageWikiLink Alfred_North_Whitehead.
- Model_theory wikiPageWikiLink Alfred_Tarski.
- Model_theory wikiPageWikiLink Algebra.
- Model_theory wikiPageWikiLink Algebraic_geometry.
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- Model_theory wikiPageWikiLink Category:Mathematical_logic.
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- Model_theory wikiPageWikiLink Field_(mathematics).
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- Model_theory wikiPageWikiLink First-order_logic.
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- Model_theory wikiPageWikiLink Graduate_Texts_in_Mathematics.
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- Model_theory wikiPageWikiLink Leopold_Löwenheim.
- Model_theory wikiPageWikiLink Lindstrxc3xb6ms_theorem.
- Model_theory wikiPageWikiLink List_of_first-order_theories.
- Model_theory wikiPageWikiLink List_of_logic_symbols.