The Mathematics of Logic: A Guide to Completeness Theorems and their Applications free ebook download.

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The Mathematics of Logic: A Guide to Completeness Theorems and their Applications free ebook download

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Mathematics

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Author(s):	Richard W. Kaye

Date:	2007	Format:	pdf	Language:	English	ISBN/ASIN:	052170877X
Pages:	216	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	6/21/2024 7:30:14 AM

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052170877X pdf
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 K?nig'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.

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3263256	Book	https://nitroflare.com/view/A84FB0696EF0...		2.00	eternal

Tags: Applications Completeness Guide Logic Mathematics Theorems

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