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
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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