Philosophical perspectives on infinity
著者
書誌事項
Philosophical perspectives on infinity
Cambridge University Press, 2006
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注記
Includes bibliographical references (p. 297-309) and index
内容説明・目次
内容説明
This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.
目次
- Introduction
- 1. Beginnings and puzzles
- 2. Mathematical preliminaries
- 3. Some cases discussed
- 4. Space, time, and spacetime
- 5. Physical infinities
- 6. Probability and decision theory
- 7. Mereology
- 8. Philosophical theories
- 9. Infinite regress and sufficient reason.
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