H.-D. Ebbinghaus,
J. Flum,
W. Thomas
Mathematical Logic
Paperback Engels 1985 9780387961705Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780387961705
Taal:Engels
Bindwijze:paperback
Uitgever:Springer New York
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Inhoudsopgave
<B>Contents:</B> Introduction.- Syntax of First-Order Languages.- Semantics of First-Order Languages.- A Sequent Calculus.- The Completeness Theorem.- The Löwenheim-Skolem Theorem and the Compactness Theorem.- The Scope of First-Order Logic.- Appendix. - Extensions of First-Order Logic.- Limitations of the Formal Method.- An Algebraic Characterization of Elementary Equivalence.- Characterizing First-Order Logic.- References.- Index of Notation.- Subject Index.
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