Yozshulkree Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets. Presburger lobic shown to be decidable by a quantifier elimination procedure, and shown not to define multiplication Robinson Arithmetic with exponentiation. A Mathematical Introduction to Logic Michelle rated it really liked it Nov 28, Most of us went on to take the graduate model theory intro which used Chang and Keisler or Bell and Slomson as the text, depending on the year. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning.
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It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.
However, if you have already read an entry-level presentation of first order logic e. Lists with This Book. Enderton then at last introduces a deductive proof system pages into the book. Some proofs are not fully spelled out, and, as several other reviewers noted, the writing style is pretty terse. The lovic died inbut his webpages live on, including one with his own comments on his second edition.
No trivia or quizzes yet. To be sure, the material here is not mathematically difficult in itself indeed it is one of the delights of this area that the initial Big Results come so quickly. It is intended for the reader who has not studied logic previously, but A Mathematical Introduction to Logic, Second Editionoffers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course.
Eugene rated it really liked it Aug 08, The chapter ends with a little model theory — compactness, the LS theorems, interpretations between theorems — all rather briskly done, and there is an application to the construction of infinitesimals in non-standard analysis which is surely going to be too compressed for a first encounter with the ideas.
But it also strikes me as tougher going than it purports to be. A theory with successor and the order relation also shown to admit elimination of quantifiers and to be complete.
Al Amin rated it liked it Aug 30, We also get an exploration which can be postponed of the idea of proofs by induction and the Recursion Theorem, and based on these we get proper proofs of unique readability and the uniqueness of the extension of a valuation of atoms to a valuation of a set of sentences containing them perhaps not the most inviting things for a beginner to be pausing long over.
Leave a Reply Cancel reply Your email address will not be published. It starts with an account of first-order languages, and then there is a lengthy treatment of the idea of truth in a structure. This entry was posted in This and that. Alejandro rated it really liked it Jun 25, Enderton EndertohJan 23, — Mathematics — pages 1 Review https: Just a moment while we sign you in to your Goodreads account.
Want to Read Currently Reading Read. Kenneth rated it liked it Jun 13, Want to Read saving…. We students thought the course and book difficult, though in a good way, and ligic kept our interest in logic. It strikes me as a good book, meeting it again after a long gap, now in the guise of its second edition. Most Related.
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The chapter was pitched at a significantly higher level mathematically than much of the rest of the text — notably the chapter to follow on propositional logic — and made the text seem rather more daunting than it actually was. A Mathematical Introduction to Logic If you like books and love to build cool products, we may be looking for you. Neil Delaney rated it it was amazing Jan 15, To be sure, the material here is not mathematically difficult in itself indeed it is one of the delights of this area that the initial Big Results come so quickly. Thanks for telling us about the problem.
The author died in , but his webpages live on, including one with his own comments on his second edition. A final chapter covers second-order logic and some other matters. A Mathematical Introduction to Logic eventually became part of a logical trilogy, with the publication of the wonderfully lucid Elements of Set Theory and Computability Theory The first volume, by contrast, is not the most approachable first pass through its material. Some might think this chapter to be slightly odd.