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Zusatztext a wonderful new book . . . Potter has written the best philosophical introduction to set theory on the market Informationen zum Autor 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). Klappentext Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science. Zusammenfassung Anyone wishing to work on the logical foundations of mathematics must understand set theory! which lies at its heart. This is a comprehensive philosophical introduction to the field offering a thorough account of cardinal and ordinal arithmetic! and the various axiom candidates. Inhaltsverzeichnis 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
