mathematical logic von ebbinghaus h d (11 Ergebnisse)

Zustand: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages.

Hardcover. Zustand: Fine. 2nd Edition.

HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Zustand: New. In.

Zustand: Good. Original boards, illustrated with numerous equations, 8vo. Undergraduate Texts in Mathematics.; Name in pen on title page.

Hardcover. Zustand: Fine. 1st Edition. Second printing. Hardcover volume, measuring approximately 6.5" x 9.75", is bound in glossy yellow paper spine and boards. Book shows very light shelfwear. Binding is firm. Stamp of the Department of Mathematics, Cornell University appears on front and rear flyleaves. Interior is otherwise clean and bright. ix/216 pages. "A self-contained introduction to first-order logic includes an exposition of topics not usually found in introductory texts (such as Trachtenbrot's undecidability theorem, Fraisse's characterization of elementary equivalence, and Lindstrom's theorem on the maximality of first-order logic).".

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.

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.

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.

Paperback. Zustand: Brand New. 2nd reprint edition. 301 pages. French language. 9.25x6.10x0.79 inches. In Stock.