Mathematical Logic (Addison-Wesley Series in Logic)
| Author | : | |
| Rating | : | 4.49 (562 Votes) |
| Asin | : | 1568811357 |
| Format Type | : | paperback |
| Number of Pages | : | 356 Pages |
| Publish Date | : | 2013-04-19 |
| Language | : | English |
DESCRIPTION:
Rock-solid introduction to Mathematical Logic Since my first contact with mathematical logic, I've always seen it as a kind of brainwashing, forcing one's mind to work based on several little pieces of thought. Nevertheless, it can be described as "a necessary evil", because the mindless use of mathematical logic throughout. Clear and precise, especially the constructible universe. Alan U. Kennington When I get confused by the other 30 mathematical logic books on my bookshelf, I seek refuge in this "Mathematical Logic" book by Joseph R. Shoenfield. It is clear and systematic in what it covers.Two other reviews explained the strong points of this book very well. I would just . GeoffT said What's the point?. This book was recommended for my MSc course in mathematical logic.I did not find it useful then and on consulting it again, I still don't.It belongs to the long tradition of mystifying, 'bottom-up' university texts.The book is far too concentrated - on rigorous definitions and p
W. Noted for the economy of its presentation, it includes a wealth of basic and key results from all parts of mathematical logic."" -Solomon Feferman, Stanford University, January 2001 ""The book remains an excellent introduction to logic reads as a continuous whole, not a set of isolated topics "" -C. Kilmister, The Mathematical Gazette, July 2003" . " ""classic text is as fresh and useful today as when first published
It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. This book has played a role in the education of many mature and accomplished researchers.