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On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics [Kõva köide]

4.61/5 (34 hinnangut Goodreads-ist)
(Massachusetts Institute of Technology)
  • Formaat: Hardback, 320 pages, kõrgus x laius x paksus: 229x178x22 mm, 29 b&w illus.; 58 Illustrations
  • Sari: The MIT Press
  • Ilmumisaeg: 02-Apr-2019
  • Kirjastus: MIT Press
  • ISBN-10: 0262039419
  • ISBN-13: 9780262039413
Teised raamatud teemal:
On the Brink of Paradox: Highlights from the Intersection of Philosophy and MathematicsSuurem pilt
  • Formaat: Hardback, 320 pages, kõrgus x laius x paksus: 229x178x22 mm, 29 b&w illus.; 58 Illustrations
  • Sari: The MIT Press
  • Ilmumisaeg: 02-Apr-2019
  • Kirjastus: MIT Press
  • ISBN-10: 0262039419
  • ISBN-13: 9780262039413
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780262039413.html
Märksõnad:
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory.

Preface ix
I Infinity
1(90)
1 Infinite Cardinalities
3(28)
Appendix: Answers to Exercises
23(8)
2 The Higher Infinite
31(30)
Appendix: Answers to Exercises
56(5)
3 Omega-Sequence Paradoxes
61(30)
Appendix: Answers to Exercises
86(5)
II Decisions, Probabilities, and Measures
91(136)
4 Time Travel
93(26)
Appendix: Answers to Exercises
117(2)
5 Newcomb's Problem
119(30)
Appendix A The Prisoner's Dilemma
138(2)
Appendix B The Tickle Defense
140(3)
Appendix C Answers to Exercises
143(6)
6 Probability
149(32)
Appendix: Answers to Exercises
173(8)
7 Non-Measurable Sets
181(24)
Appendix: Answers to Exercises
197(8)
8 The Banach-Tarski Theorem
205(22)
Appendix: Answers to Exercises
222(5)
III Computability and Godel's Theorem
227(56)
9 Computability
229(26)
Appendix: Answers to Exercises
248(7)
10 Godel's Theorem
255(28)
Appendix A Proof of the Lemma
270(11)
Appendix B Answers to Exercises
281(2)
Glossary 283(12)
Bibliography 295(4)
Index 299