A MATHEMATICAL INTRODUCTION TO LOGIC HERBERT ENDERTON PDF

About this title A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. 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. From the Back Cover: About this book An accessible, flexible introduction to the subject of mathematical logic, the second edition of this popular and widely-adopted text has been revised to be appropriate for courses enrolling either advanced undergraduates or graduate students.

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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.

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ISBN 13: 9780122384523

Herbert B. It could really benefit from additional samples and explanations. A Mathematical Introduction to Logic, Second Editionoffers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. Presburger arithmetic mathenatical to be decidable by a quantifier elimination procedure, and shown not to define multiplication Robinson Arithmetic with exponentiation. No trivia or quizzes yet.

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As is revealed by that quick description there really is a lot in Ch. Enderton passed away three years ago. 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. Enderton: : Books However, I do doubt that such an action-packed presentation is the best way to first meet this material. My primary complaint is the manner in which rigor is emphasized in the text to the neglect rather than supplement of a coherent big picture — losing two full stars.

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