Mathematics of Logic

Name: Mathematics of Logic
Brand: Cambridge University Press
SKU: 9780521882194
Price: 3298 CZK
Availability: InStock

A Guide to Completeness Theorems and their Applications

Autor: Richard W. Kaye

Jazyk:

Vazba: Pevná

Vydavatel: Cambridge University Press

Dostupnost: 50 % šance

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3 298 Kč

This undergraduate textbook covers the key material for a typical first course in logic, in particul...

Informace o knize

Autor

Richard W. Kaye

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2007

Stránek

206

EAN

9780521882194

ISBN

0521882192

Enbook ID

02048889

Vydavatel

Cambridge University Press

Hmotnost

418

Rozměry

158 x 235 x 18

Kompletní popis

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.

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Mathematics of Logic

A Guide to Completeness Theorems and their Applications

Informace o knize

Kompletní popis

Mohlo by vás zajímat

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