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Abstract logic : ウィキペディア英語版
Abstract logic

In mathematical logic, an abstract logic is a formal system consisting of a class of sentences and a satisfaction relation with specific properties related to occurrence, expansion, isomorphism, renaming and quantification.〔C. C. Chang and Jerome Keisler ''Model Theory'', 1990 ISBN 0-444-88054-2 page 128〕
Based on Lindström's characterization, first order logic is, up to equivalence, the only abstract logic which is countably compact and has Löwenheim number ω.〔C. C. Chang and Jerome Keisler ''Model Theory'', 1990 ISBN 0-444-88054-2 page 132〕
==See also==

* Abstract algebraic logic
* Abstract model theory
* Löwenheim number
* Lindström's theorem
* Universal logic

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