The following text field will produce suggestions that follow it as you type.

Loading Inventory...

Indigo

Mathematical Logic by H.-D. Ebbinghaus, Hardcover | Indigo Chapters

From H.-D. Ebbinghaus

Current price: $116.95
Mathematical Logic by H.-D. Ebbinghaus, Hardcover | Indigo Chapters
Mathematical Logic by H.-D. Ebbinghaus, Hardcover | Indigo Chapters

Indigo

Mathematical Logic by H.-D. Ebbinghaus, Hardcover | Indigo Chapters

From H.-D. Ebbinghaus

Current price: $116.95
Loading Inventory...

Size: 1 x 9.25 x 2.98

Buy OnlineGet it at Indigo
*Product information may vary - to confirm product availability, pricing, shipping and return information please contact Indigo
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. | Mathematical Logic by H.-D. Ebbinghaus, Hardcover | Indigo Chapters

More About Indigo at St. Vital Centre

Canada's Largest Bookstore. Indigo is the largest book, gift and specialty toy retailer in Canada

Powered by Adeptmind