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Mathematical Logic, Revised Edition Revised ed. Edition

4.5 out of 5 stars 4 customer reviews
ISBN-13: 978-0674554511
ISBN-10: 0674554515
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Product Details

  • Paperback: 364 pages
  • Publisher: Harvard University Press; Revised ed. 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: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #356,612 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

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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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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Format: Paperback Verified Purchase
I don't think I can even begin judging the brilliant work by Quine! A student of A. N. Whitehead he wrote this book to summarize what aspects of the Principia he thought remained standing after the attacks by Godel, and the works of Tarski and Hilbert. It is a fantastic book and Quine is a brilliant writer, even if he moves at a fast pace. The first chapter will give you the notation he uses, the truth-tables, and some introduction and then Quine will jump into his theorems, building one on another. This book also has a special Summation-1 proof of the Incompleteness theorem that Quine himself developed.

So I can only really appraise the edition, and the truth is that it could be much, much better. The pages are glued together in a binding which is prone to curling up; there are some pages with some small misprints (nothing that can't be easily picked up), and the ink looks a weirdly shiny way. The book is also rather small to use as a logical textbook, and people trying to write whilst reading (to reproduce the proof) will have some difficulty.

Even then, I cannot more highly recommend this controversial but still brilliant book by Quine. Whether or not you buy into his view of logic (opposed to that of Boolos) no one can claim that he wasn't a beautiful arguer, and more importantly a story-teller. So buy this book and let Quine tell you the story of Maths, Logic, and everything in between!
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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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