- Series: Undergraduate Texts in Mathematics
- Hardcover: 291 pages
- Publisher: Springer; 2nd edition (November 15, 1996)
- Language: English
- ISBN-10: 0387942580
- ISBN-13: 978-0387942582
- Product Dimensions: 6.1 x 0.8 x 9.2 inches
- Shipping Weight: 1.2 pounds (View shipping rates and policies)
- Average Customer Review: 14 customer reviews
- Amazon Best Sellers Rank: #1,442,449 in Books (See Top 100 in Books)
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Mathematical Logic, 2nd Edition (Undergraduate Texts in Mathematics) 2nd Edition
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Top customer reviews
Some of the informal discussion expects the reader to supply the sense, and hence could be misleading for a novice (or even incorrect if taken literally!) On the other hand, the discussion is crystal clear and illuminating for someone with a bit more of background.
This book will not provide philosophical enlightenment to students of logic (esp. to those who seek such enlightenment in the first place), but it will provide good understanding of the study of general mathematical structures and their relation to logic. The prospective reader should first get acquainted with the model theoretic point of view (i.e. with its aims and presuppositions) before tackling this book. Good sources are: the first few chapters of Wilfrid Hodges's "A Shorter Model Theory" and the relevant articles by Jaakko Hintikka which were published in the journal "Synthese" in the late 1980's.
What it does cover it does very well. Motivation is rich and exercises follow well from the text. Proofs are very clear. Overall, there is much greater coherence in the development of ideas than you usually see in a survey text.
While the writing is very good, there is a shortage of definitions, examples, and exercises. Notation is not always clearly introduced and they adopt so many abbreviations it's hard to keep track of what things mean. I also thought that it was not as clear in the second half, maybe due to the multiple authors. Still, I would choose it over Enderton unless you need lots of exercises for class use.
If you do not have sufficient math maturity, then you may want to try Smullyan's book on the subject.
Most recent customer reviews
I found the material to be insufficiently motivated.Read more