Mathematical Logic, Revised Edition Revised Edition

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ISBN-13: 978-0674554511
ISBN-10: 0674554515
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Editorial Reviews

Review

An excellent systematic presentation of mathematical logic...Because it is a clear, exact, and exhaustive treatment of the subject, Professor Quine's book should serve well as a text in a course on mathematical logic. (Morton G. White Philosophical Review)

Combines exemplary clarity and precision with an unusual vividness and originality in style which actually makes the study of the work a fascinating adventure. (Carl G. Hempel Philosophic Abstracts)

Every section of this book provides evidence of rare skill, both in research and communication; it deserves to be read and read again by all who have a serious interest in mathematical logic. (Max Black Mind)

About the Author

W. V. Quine was Edgar Pierce Professor of Philosophy, Harvard University. He wrote twenty-one books, thirteen of them published by Harvard University Press.
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Product Details

  • Paperback: 358 pages
  • Publisher: Harvard University Press; Revised edition (April 15, 1981)
  • Language: English
  • ISBN-10: 0674554515
  • ISBN-13: 978-0674554511
  • Product Dimensions: 5.4 x 0.9 x 8.2 inches
  • Shipping Weight: 1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #660,142 in Books (See Top 100 in Books)

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28 of 32 people found the following review helpful By galloamericanus on April 14, 2003
Format: Paperback
This book is indeed much shorter than Principia, mainly because it is derived for lecture notes for a 1 semester PhD course. It is also a lot clearer than PM. But the notation is largely the same, which makes for hard reading if your are under 50. Quine's proof format doesn't take up much space, but has always eluded me. This book contains the best treatment of truth functional and quantificational logic prior to natural deduction and truth trees.
I like the set theory of this book, but I warn you that it is very nonstandard. Even ardent lovers of Quine's NF theory hate
the ML theory of this book.
The weakness of this book is its treatment of metatheory:
consistency, completeness, decidability, categoricity. The treatment of Godel's incompleteness is detailed and highly original (altho' it owes more to Tarski than to Godel). But it is very difficult, and Smullyan (1991) is much better.
Quine also had no clue re model theory or recursion.
I respect the historical remarks a lot. Just one big omission: Quine, like nearly everyone of his generation, missed that
math logic as we know and love it does not descend from Frege, but from an 1885 article by C S Peirce.
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19 of 24 people found the following review helpful By A Customer on November 30, 1998
Format: Paperback
Try this book when you know a bit about the basics of logic. The descriptions are much more lucid than those in Principia, even if the ideas are less earthshattering for there time. Quine, as he always does, gives a masterful, detailed look at logic. If you are a fan of logic and the foundations of math, this book is not to be missed.
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By Ajab on February 10, 2014
Format: Paperback Verified Purchase
When using Mathematical Logic one realizes it is an excellent book, it gives a unique point of view and covers almost everything. However do not use it if you are absolutely new, because you will not achieve anything. Try to read Harry J. Gensler's Introduction to Logic and then go through this book. Also remember this may give an original perspective but it is contentious.
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3 of 6 people found the following review helpful By Steven Ross on July 22, 2010
Format: Paperback Verified Purchase
I have been reading this book off and on for years. It is beautiful. However, I am not well read in mathematical logic, and the comments of a mathematical logician as to whether the proofs are correct and what should be read next would be helpful to readers interested in mathematical logic. I read the book to understand Godel. There are better books for that. However, once I starting reading this book, I appreciated the eloquence of Prof. Quine and the beauty of the axioms, definitions and proofs in the book.
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