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Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition

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  • 304 Seiten
  • 11 Lesestunden

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This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

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Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition, Heinz-Dieter Ebbinghaus, Wolfgang Thomas, Jörg Flum

Sprache
Erscheinungsdatum
2021
Einband
(Hardcover)
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Titel
Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition
Sprache
Englisch
Verlag
Springer
Erscheinungsdatum
2021
Einband
Hardcover
Seitenzahl
304
ISBN10
3030738388
ISBN13
9783030738389
Reihe
Beschreibung
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.