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"iss'e's characterization of elementary equivalence, Lindstr"om's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Mathematical Logic (Undergraduate Texts in Mathematics) pdf free download
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