Английская Википедия:Abstract logic

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Шаблон:Other uses 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.[1]

Based on Lindström's characterization, first-order logic is, up to equivalence, the only abstract logic that is countably compact and has Löwenheim number ω.[2]

See also

References

Шаблон:Reflist

Шаблон:Mathematical logic

Шаблон:Mathlogic-stub

  1. C. C. Chang and Jerome Keisler Model Theory, 1990 Шаблон:ISBN page 128
  2. C. C. Chang and Jerome Keisler Model Theory, 1990 Шаблон:ISBN page 132