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Notes on Set Theory (2ND 06 Edition)

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Notes on Set Theory (2ND 06 Edition) Cover

 

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Publisher Comments:

The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to computer science), but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author added solutions to the exercises, and rearranged and reworked the text in several places to improve the presentation. The book is aimed at advanced undergraduate or beginning graduate mathematics students and at mathematically minded graduate students of computer science and philosophy.

Table of Contents

Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice's consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index

Product Details

ISBN:
9780387287232
Author:
Moschovakis
Publisher:
Springer
Author:
Moschovakis, Yiannis
Subject:
Logic
Subject:
Set Theory
Subject:
Mathematical Logic and Foundations
Subject:
Mathematics-Logic and Philosophy
Subject:
Mathematical Logic and Formal Languages
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2006
Series:
Undergraduate Texts in Mathematics
Publication Date:
December 2005
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
296
Dimensions:
235 x 155 mm 910 gr

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Related Subjects

Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Set Theory

Notes on Set Theory (2ND 06 Edition) Used Trade Paper
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