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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 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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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.
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Mathematical Logic - 2nd Edition
Verlag:
New York : Springer-Verlag, 1994
ISBN 10: 0387942580
ISBN 13: 9780387942582
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Zustand: Good. Original boards, illustrated with numerous equations, 8vo. Undergraduate Texts in Mathematics.; Name in pen on title page. Bestandsnummer des Verkäufers 343200-ZA30
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Mathematical Logic, 2nd Edition (Undergraduate Texts in Mathematics)
Anbieter: World of Books (was SecondSale), Montgomery, IL, USA
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Zustand: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Bestandsnummer des Verkäufers 00086155231
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Mathematical Logic (Undergraduate Texts in Mathematics)
Anbieter: AproposBooks&Comics, London, Vereinigtes Königreich
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Hardcover. Zustand: Fine. 2nd Edition. Bestandsnummer des Verkäufers ful/080924/HJGHJGHJG
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Mathematical Logic
Verlag:
Springer New York, Springer US Jun 1994, 1994
ISBN 10: 0387942580
ISBN 13: 9780387942582
Neu
Buch
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Buch. Zustand: Neu. Neuware -What is a mathematical proof How can proofs be justified Are there limitations to provability To what extent can machines carry out mathe matical proofs Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godel's completeness theorem, which shows that the con sequence relation coincides with formal provability: By means of a calcu lus consisting of simple formal inference rules, one can obtain all conse quences of a given axiom system (and in particular, imitate all mathemat ical proofs). A short digression into model theory will help us to analyze the expres sive power of the first-order language, and it will turn out that there are certain deficiencies. For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis. On the other hand, this difficulty can be overcome--even in the framework of first-order logic-by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a thorough manner.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch. Bestandsnummer des Verkäufers 9780387942582
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Mathematical Logic
Print-on-DemandAnbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 308 pp. Englisch. Bestandsnummer des Verkäufers 9780387942582
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Mathematical Logic
Verlag:
Springer New York, Springer US, 1994
ISBN 10: 0387942580
ISBN 13: 9780387942582
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Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - What is a mathematical proof How can proofs be justified Are there limitations to provability To what extent can machines carry out mathe matical proofs Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godel's completeness theorem, which shows that the con sequence relation coincides with formal provability: By means of a calcu lus consisting of simple formal inference rules, one can obtain all conse quences of a given axiom system (and in particular, imitate all mathemat ical proofs). A short digression into model theory will help us to analyze the expres sive power of the first-order language, and it will turn out that there are certain deficiencies. For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis. On the other hand, this difficulty can be overcome--even in the framework of first-order logic-by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a thorough manner. Bestandsnummer des Verkäufers 9780387942582
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Mathematical Logic
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Zustand: New. 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 adva. Bestandsnummer des Verkäufers 5911940
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Mathematical Logic, 2nd Edition
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Hardcover. Zustand: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. Bestandsnummer des Verkäufers Scanned0387942580
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Mathematical Logic, 2nd Edition (Undergraduate Texts in Mathematics)
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Mathematical Logic
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HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers GB-9780387942582
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