Mathematical Logic(English, Hardcover, Ebbinghaus H.-D.) Offer
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- Language: English
- Binding: Hardcover
- Publisher: Springer-Verlag New York Inc.
- Genre: Mathematics
- ISBN: 9780387942582, 0387942580
- Pages: 291
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Mathematical Logic Features & Specifications stand apart in the PBCD : Mathematical logic category. The details about Mathematical Logic(English, Hardcover, Ebbinghaus H.-D.) are given below as well. Unboxing Mathematical Logic specs Language: English, Binding: Hardcover, Publisher: Springer-Verlag New York Inc., Genre: Mathematics, ISBN: 9780387942582, 0387942580, Pages: 291, & more details are given below
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.
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Mathematical Logic Specs
Book Details
| Title | Mathematical Logic |
| Imprint | Springer-Verlag New York Inc. |
| Product Form | Hardcover |
| Publisher | Springer-Verlag New York Inc. |
| Source ISBN | 9780387942582 |
| Genre | Mathematics |
| ISBN13 | 9780387942582 |
| Book Category | Higher Education and Professional Books |
| BISAC Subject Heading | MAT018000 |
| Book Subcategory | Mathematics and Science Books |
| ISBN10 | 0387942580 |
| Language | English |
Dimensions
| Height | 235 mm |
| Length | 155 mm |
| Weight | 1350 gr |
Books Info
| Language | English |
| Binding | Hardcover |
| Pages | 291 |
| Publisher | Springer-Verlag New York Inc. |
| Year | 0 |
| Author | Ebbinghaus H.-D. |
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