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Set Theory and Its Philosophy


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Table of Contents

I. Sets 1: Logic 2: Collections 3: The hierarchy 4: The theory of sets 5: Classes II. Numbers 6: Arithmetic 7: Counting 8: Lines 9: Real numbers III. Cardinals and Ordinals 10: Cardinals 11: Basic cardinal arithmetic 12: Ordinals 13: Ordinal aritmetic IV. Further axioms 14: Orders of infinity 15: The axiom of choice 16: Further cardinal arithmetic

About the Author

Michael Potter is University Lecturer in Philosophy, and Fellow of Fitzwilliam College, at Cambridge. He is the author of Sets (1990), on which the present work draws but which was written for a more specialist readership, and Reason's Nearest Kin (2000).


a wonderful new book . . . Potter has written the best philosophical introduction to set theory on the market * Timothy Bays, Notre Dame Philosophical Reviews *

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