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- 304 pages
- 11 hours of reading
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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, Jörg Flum, Wolfgang Thomas
- Language
- Released
- 2021
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- (Hardcover)
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- Title
- Graduate Texts in Mathematics - 291: Mathematical Logic - Third Edition
- Language
- English
- Publisher
- Springer
- Released
- 2021
- Format
- Hardcover
- Pages
- 304
- ISBN10
- 3030738388
- ISBN13
- 9783030738389
- Series
- Tags
- Non-Fiction, Social Sciences, Science & Math, Philosophical Topics, Philosophy, Mathematics, Logic
- Description
- 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.