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The Foundations of Mathematics by Kenneth Kunen (Paperback, 2009)

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Author: Kenneth Kunen. Title: The Foundations of Mathematics. Genre: Science Nature & Math. Book Series: Logic S. Format: Paperback. Item Length: 156mm. Item Weight: 372g. Country/Region of Manufacture: GB.

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Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Loewenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Goedel, and Tarski's theorem on the non-definability of truth.

Product Identifiers

Publisher
College Publications
ISBN-13
9781904987147
eBay Product ID (ePID)
103882495

Product Key Features

Author
Kenneth Kunen
Publication Name
The Foundations of Mathematics
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2009
Type
Textbook
Number of Pages
262 Pages

Dimensions

Item Height
234mm
Item Width
156mm
Volume
V. 19
Item Weight
372g

Additional Product Features

Title_Author
Kenneth Kunen
Series Title
Logic S.
Topic
Popular Philosophy
Country/Region of Manufacture
United Kingdom

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The Foundations of Mathematics by Kenneth Kunen (Paperback, 2009)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

All listings for this product

item 1 Kenneth Kunen The Foundations of Mathematics (Paperback) Logic S.

item 2 Kenneth Kunen The Foundations of Mathematics (Paperback) Logic S. (US IMPORT)

Best Selling in Adult Learning & University

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

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