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Mathematical Logic (Oxford Texts in Logic)

3.5 out of 5 stars 4 customer reviews
ISBN-13: 978-0199215621
ISBN-10: 0199215626
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Editorial Reviews

Review

Mathematical Logic is crisply written and is a pleasure to read...Chiswell and Hodges' book is at the very top of the reading list. Michael Berg, MAA Online The text is clearly laid out and written in an easy-to-read free-flowing style. Times Higher Education Supplement

About the Author

Ian Chiswell acheived a Ph.D. at the University of Michigan in 1973 on the Bass-Serre theory of groups acting on trees. After three years as a temporary lecturer at the University of Birmingham he moved back to Queen Mary, University of London in 1976. His teaching experience dates back to 1968 when he was a teaching fellow at the University of Michigan. He spent the academic year 1972-73 in Germany at the Ruhr-Universitaet Bochum. He has published a monograph on lamda-trees, which are generalisations of ordinary trees. His work has connections with mathematical logic, mainly via non-standard free groups. Wilfrid Hodges achieved his DPhil at Oxford in 1970 for a thesis in model theory (mathematical logic) He has taught mathematics at London University for nearly forty years, first at Bedford College and then at Queen Mary, and also taught for visiting years in Los Angeles and Boulder (USA) Besides this book, he has four other textbooks of logic in print, at levels ranging from popular to research. He has served as president of the British Logic Colloquium and the European Association for Logic, Language and Information, and as vice-president of the London Mathematical Society.
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Product Details

  • Series: Oxford Texts in Logic (Book 3)
  • Paperback: 296 pages
  • Publisher: Oxford University Press (July 12, 2007)
  • Language: English
  • ISBN-10: 0199215626
  • ISBN-13: 978-0199215621
  • Product Dimensions: 9.3 x 0.5 x 6.6 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #440,586 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Paperback Verified Purchase
It is very unfair that this book, as of 01/12/2014, has a 3 stars rating. The two sad reviews giving 1 and 3 stars to the book are seriously mistaken. One is complaining because the book "[d]oes not touch on Wittgenstein's Logic from the Tractatus Logico Philosophicus.". The other one says that the book "(...) seems like the product of a mathematician who desired to create a textbook without knowing what he was getting himself into but finished it for the sake of finishing it.". These are just too embarrassing to comment further.

If something is to be a reason to detract, say, one star tops, then let it be the price. Indeed, for the sheer material aspect of the book (number of pages, paper quality, etc) it seems there is no good reason for it to cost $62.00 bucks, on the other hand the actual logical material presented in the book is so didactic, nicely presented along snippets about key concepts and logicians, that it worths the price paid twice! No other book can compare to this one in terms of efficiency, being the sole complain that it is too short.

Maybe we can hope for another enlarged edition in the future to cover second order logic.

This is the ideal book for those who struggled with a Van Dalen or the like.
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Format: Paperback
Such an excellent text. I congratulate logician Wilfred Hodges whose works I have had the honour of studying. This is an excellent text in following sense.

A deep complex work in mathematical logic would be at least 600+ pages of pure mathematical reasoning. I did a Masters course with the brilliant Moshe Machover (A course in mathematical logic, which he wrote with John Bell).

But a rigorous account convering Quantificational Logic, Model Theory, Recursive Functions and large proofs (such as that of Putnam, Davis, Matyasevich's theorem), Formal Set Theory, Non-standard Analysis, would at lease be as long as Machover's book -- in fact, a long-hand explanation of what he did in the book, solutions of exercises would make the book at least 800 pages.

So then, if you don't have a career in logic and logic-related sciences in mind, you can get a great introduction here to logic by one of recent logic's icons. His Model Theory book is something of a bible.

Once you appetite is whetted for Logic by this book, you might next go to Category Theory/Topos approach to logic in the Lawvere's expose: conceptual mathematics (2nd Edition!).

From then on sky is the limit: You can tend to that limit via the work of Saunders Maclane in SHEAVES in Geometry and Logic. But for the non-mathematician, this book is ENTIRELY inaccessible.

A WORD or two of HOPE ! Mathematics is like a large tapestry and one mustn't be too fussy about the EXACT coverage of "everything" you want in a book. The point is that as you read an good book - -like Hodge's -- you will have learnt a portion of that tapestry. The next book will conver more of it, you can skip the parts you have read from Hodges or Lawvere's or find them more easily workable.
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Format: Paperback Verified Purchase
The book is fundamental in the first chapter but quickly moves on to logic diagrams and parsing trees. Chapter 3 is hard for the beginning student and advanced student because of the multiple clauses. The History of Logic is well thought out in introducing several key figures in the history like Charles Pierce, and David Hilbert. The exercises are difficult so I would have to say have another 2-4 logic references with you, one being Quine's Methods of Logic. Does not touch on Wittgenstein's Logic from the Tractatus Logico Philosophicus. There are numerous gaps in the book so this cannot be a comprehensive reference either.
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Format: Paperback
This is probably the worst math textbook I've read as an undergraduate. There are several typos, and the author is extremely unclear and not precise or rigorous at all in his explanations. Some examples flat out don't make sense at all. This seems like the product of a mathematician who desired to create a textbook without knowing what he was getting himself into but finished it for the sake of finishing it.
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