The Mathematics of Logic is popular PDF and ePub book, written by Richard W. Kaye in 2007-07-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Mathematics of Logic can be Read Online from any device for your convenience.
The Mathematics of Logic Book PDF Summary
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.
Detail Book of The Mathematics of Logic PDF
- Author : Richard W. Kaye
- Release : 12 July 2007
- Publisher : Cambridge University Press
- ISBN : 9781139467216
- Genre : Mathematics
- Total Page : 12 pages
- Language : English
- PDF File Size : 12,6 Mb
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