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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics) Paperback – September 9, 2010

ISBN-13: 978-0521168465 ISBN-10: 0521168465 Edition: 1st
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics) + Lectures in Logic and Set Theory: Volume 2, Set Theory (Cambridge Studies in Advanced Mathematics)
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Editorial Reviews


"A thorough and complete resource for "one of the most remarkable theorems of logic." George Tourlakis' Mathematical Logic is a highly worthwhile addition the the literature."
Robert Mignone, The Review of Modern Logic

Book Description

Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques based on formal logic, in the style of Bourbaki. This provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature.

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Product Details

  • Series: Cambridge Studies in Advanced Mathematics (Book 82)
  • Paperback: 342 pages
  • Publisher: Cambridge University Press; 1 edition (September 9, 2010)
  • Language: English
  • ISBN-10: 0521168465
  • ISBN-13: 978-0521168465
  • Product Dimensions: 6 x 0.8 x 9 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,687,889 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

5 of 5 people found the following review helpful By Aye Aye Maung on September 26, 2013
Format: Paperback Verified Purchase
This books provides an informal conversational introduction to mathematical logic. However, it does not sacrifice any rigor for it. In fact, every proof is as detailed as possible, making only arguments based on what has been previously proved and assumed. The author also lists exactly which of the previous arguments he used in proving some novel result. There are also frequent remarks and pauses to address questions that the reader might be asking in the middle of proofs. Of course, it is impossible to address every such question that might occur to every reader but, at least, the author tries (and mostly succeeds) to do so...something I find lacking in the vast majority of mathematical books out there on logic.
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics)
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