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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141 primary booksGraduate Texts in Mathematics is a 141-book series with 141 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and 162 others.
