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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 )
--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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Most Helpful Customer Reviews
23 of 26 people found the following review helpful:
4.0 out of 5 stars
Very good but be aware of omissions,
By galloamericanus "galloamericanus" (Podunk, Iowa) - See all my reviews
This review is from: Mathematical Logic, Revised Edition (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 weakness of this book is its treatment of metatheory: I respect the historical remarks a lot. Just one big omission: Quine, like nearly everyone of his generation, missed that
17 of 20 people found the following review helpful:
5.0 out of 5 stars
In Depth Look at Logic,
By A Customer
This review is from: Mathematical Logic, Revised Edition (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.
5.0 out of 5 stars
Good book,
By Steven Ross (Kew Gardens, NY United States) - See all my reviews
Amazon Verified Purchase(What's this?)
This review is from: Mathematical Logic, Revised Edition (Paperback)
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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Inside This Book
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First Sentence:
MATHEMATICAL logic differs from the traditional formal logic so markedly in method, and so far surpasses it in power and subtlety, as to be generally and not unjustifiably regarded as a new science. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tautologous forms, framed ingredient, atomic logical formula, class whose sole member, parenthesized variable, joint denial, containing free occurrences, following metatheorem, signed real numbers, quantificational truths, bracketed matter, truth functional components, alphabetic variance, respective blanks, earliest variable, stratified formula, primitive notation, definitional abbreviations, statement connective, syntactical notation, alphabetic variants, statement composition, tautologous statements, contains free occurrences, natural arithmetic Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Foundations, Logistical Approach New!
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
MATHEMATICAL logic differs from the traditional formal logic so markedly in method, and so far surpasses it in power and subtlety, as to be generally and not unjustifiably regarded as a new science. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tautologous forms, framed ingredient, atomic logical formula, class whose sole member, parenthesized variable, joint denial, containing free occurrences, following metatheorem, signed real numbers, quantificational truths, bracketed matter, truth functional components, alphabetic variance, respective blanks, earliest variable, stratified formula, primitive notation, definitional abbreviations, statement connective, syntactical notation, alphabetic variants, statement composition, tautologous statements, contains free occurrences, natural arithmetic Key Phrases - Capitalized Phrases (CAPs): (learn more)
New Foundations, Logistical Approach New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
This book cites 14
books:
See all 14 books this book cites
100
books
cite this book:
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- Methods of Logic by W. V. Quine in Front Matter, and Back Matter
- Mathematical logic by W. V Quine in Front Matter, and Back Matter
- A Bibliography of Symbolic Logic by Alonzo Church in Back Matter
- Principles of Mathematical Logic by David Hilbert in Back Matter
- Symbolic Logic by Clarence Irving Lewis in Back Matter
See all 14 books this book cites
- Logic : Philosophy of Quine, Volume 5 by Dagfinn Follesdal on 19 pages
- Linguistics and the Formal Sciences: The Origins of Generative Grammar (Cambridge Studies in Linguistics) by Marcus Tomalin on 7 pages
- Uncertain Inference by Henry E. Kyburg Jr on 5 pages
- Husserl or Frege?: Meaning, Objectivity, and Mathematics by Claire Ortiz Hill on 5 pages
- Facing Facts by Stephen Neale on 5 pages
See all 100 books citing this book
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