ENDERTON A MATHEMATICAL INTRODUCTION TO LOGIC PDF
Purchase A Mathematical Introduction to Logic – 2nd Edition. Print Book & E-Book . Authors: Herbert Enderton. Hardcover ISBN: eBook ISBN. A Mathematical Introduction to Logic. Book • 2nd Edition • Authors: Herbert B. Enderton. Browse book content. About the book. Search in this book. The first edition of Herbert B. Enderton’s A Mathematical Introduction to Logic ( Academic Press, pp. ) rapidly established itself as a much-used textbook.
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Some might think this chapter to be slightly odd.
To see what your friends thought of this book, please sign up. It starts with an account of first-order languages, and then there is a lengthy treatment of the idea of truth in a structure. It strikes me as a good book, meeting it again after a long gap, now in the guise of its second edition.
Steven rated it really liked it Feb 07, Buy Direct from Elsevier Amazon. The author has made this edition more accessible to better meet the needs of today’s undergraduate mathematics and philosophy students Review Text Reasons for This Book’s Success “Rigor, integrity and coherence of overall purpose, introducing students to the practice of logic.
Dec 11, Alex rated it liked it Shelves: Dispatched from the UK in 1 business day When will my order arrive? This goes very briskly at the outset. Looking for beautiful books? Joshua Macy rated it liked it Aug 03, Instead, go for the different logic textbook, like Mendelson’s textbook, if you are taking Math Logic course. 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.
However, I do doubt that such an action-packed presentation is the best way to first meet this material. It’s the only MATH book on logic out there that is easy to understand and yet formal enough to be considered ‘mathematical. 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.
Edwin rated it liked it Jul 16, Jim D’Ambrosia rated it liked it Jul 17, Product details Format Hardback pages Dimensions x x For the usual motivation for separating off propositional logic and giving it an extended treatment at the beginning of a book at this level is that this enables us to introduce and contrast the key ideas of semantic entailment and of provability in a formal deductive system, and then explain strategies llgic soundness and completeness proofs, all in a helpfully simple and uncluttered initial framework.
A Mathematical Introduction to Logic. Lists with This Book. But, wisely, that chapter has been replaced by a much friendlier and mtahematical useful overview of basic set theory in the 2nd edition. Books by Herbert B. Leave a Reply Cancel reply Your email address will not be published.
Timothy rated it liked it Oct 27, Return to Book Page.
What do you think of Enderton’s Mathematical Introduction to Logic?
We students thought the course and book difficult, though in a good way, and we kept our interest in logic. Herbert EndertonHerbert B. Refresh and try again. However, I think it’d be difficult to use without accompanying lectures.
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. 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.
A second edition was published inand a glance at the section headings indicates much the same overall structure: The author has made this edition more accessible to better meet the needs of today’s undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning.
We are taken through a long catalogue of functions and relations representable in Robinson-Arithmetic-with-exponentiation, including functions for encoding and decoding sequences.
A Mathematical Introduction to Logic by Herbert B. Enderton
And we get a first look at the ideas of effectiveness and computability. And if you have already read an entry-level presentation on incompleteness e. HardcoverSecond Editionpages. This is pretty clearly done and mathematicians should be able to cope quite well but does Enderton forget his officially intended audience on p. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. The Best Books of 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 exercises redeem it somewhat.
A theory of natural numbers with just the successor function built in which is shown to be complete intrduction decidable, and a decision procedure by elimination of quantifiers is given.