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Undergraduate Texts in Mathematics : Undergraduate Texts in Mathematics - H.-D. Ebbinghaus

Undergraduate Texts in Mathematics

By: H.-D. Ebbinghaus, J. Flum, Wolfgang Thomas

Hardcover | 1 December 1996 | Edition Number 2

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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 Fra¯ss©'s characterization of elementary equivalence, Lindstr¶m's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

Industry Reviews

"...the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level." - Journal of Symbolic Logic

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