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The Logic of Infinity
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Table of Contents

Preface; Synopsis; 1. Introduction; 2. Logical foundations; 3. Avoiding Russell's paradox; 4. Further axioms; 5. Relations and order; 6. Ordinal numbers and the axiom of infinity; 7. Infinite arithmetic; 8. Cardinal numbers; 9. The axiom of choice and the continuum hypothesis; 10. Models; 11. From Goedel to Cohen; Appendix A. Peano arithmetic; Appendix B. Zermelo-Fraenkel set theory; Appendix C. Goedel's incompleteness theorems; Bibliography; Index.

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This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.

About the Author

Barnaby Sheppard is a freelance writer. He has previously held positions at Lancaster University, the University of Durham and University College Dublin.

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