Warehouse Stock Clearance Sale

Grab a bargain today!

Axiomatic Set Theory
By

Rating

Product Description
Product Details

Table of Contents

1. INTRODUCTION 1.1 Set Theory and the Foundations of Mathematics 1.2 Logic and Notation 1.3 Axiom Schema of Abstraction and Russell's Paradox 1.4 More Paradoxes 1.5 Preview of Axioms 2. GENERAL DEVELOPMENTS 2.1 Preliminaries: Formulas and Definitions 2.2 Axioms of Extensionality and Separation 2.3 "Intersection, Union, and Difference of Sets " 2.4 Pairing Axiom and Ordered Pairs 2.5 Definition by Abstraction 2.6 Sum Axiom and Families of Sets 2.7 Power Set Axiom 2.8 Cartesian Product of Sets 2.9 Axiom of Regularity 2.10 Summary of Axioms 3. RELATIONS AND FUNCTIONS 3.1 Operations on Binary Relations 3.2 Ordering Relations 3.3 Equivalence Relations and Partitions 3.4 Functions 4. "EQUIPOLLENCE, FINITE SETS, AND CARDINAL NUMBERS " 4.1 Equipollence 4.2 Finite Sets 4.3 Cardinal Numbers 4.4 Finite Cardinals 5. FINITE ORDINALS AND DENUMERABLE SETS 5.1 Definition and General Properties of Ordinals 5.2 Finite Ordinals and Recursive Definitions 5.3 Denumerable Sets 6. RATIONAL NUMBERS AND REAL NUMBERS 6.1 Introduction 6.2 Fractions 6.3 Non-negative Rational Numbers 6.4 Rational Numbers 6.5 Cauchy Sequences of Rational Numbers 6.6 Real Numbers 6.7 Sets of the Power of the Continuum 7. TRANSFINITE INDUCTION AND ORDINAL ARITHMETIC 7.1 Transfinite Induction and Definition by Transfinite Recursion 7.2 Elements of Ordinal Arithmetic 7.3 Cardinal Numbers Again and Alephs 7.4 Well-Ordered Sets 7.5 Revised Summary of Axioms 8. THE AXIOM OF CHOICE 8.1 Some Applications of the Axiom of Choice 8.2 Equivalents of the Axiom of Choice 8.3 Axioms Which Imply the Axiom of Choice 8.4 Independence of the Axiom of Choice and the Generalized Continuum Hypothesis REFERENCES GLOSSARY OF SYMBOLS AUTHOR INDEX SUBJECT INDEX

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
Home » Books » Science » Mathematics » Logic
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling Axiomatic Set Theory (Dover Books on Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond.com, Inc.
Back to top