Undergraduate Texts in Mathematics

Ebbinghaus, H.-D.; Ferebee, A. S.; Flum, J.; Thomas, W.

This careful, self-contained introduction to first-order logic includes an exposition of certain topics not usually found in introductory texts (such as Trachtenbrot's undecidability theorem, Fraisse's characterization of elementary equivalence, and Lindström's theorem on the maximality of first-order logic). The presentation is detailed and systematic without being long-winded or tedious. The role of first-order logic in the foundations of mathematics is worked out clearly, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. Many exercises accompany the text.

Details

Published by: Springer

Publication Date: 1985-07-15

Format: Paperback

ISBN-13: 9780387961705

DOI:

Dimensions: cm xcm

Pages: 216