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https://www.riss.kr/link?id=M14174692
Peterborough, Ontario : Broadview Press, 2016
2016
영어
165 판사항(23)
9781554813025 (paperback)
1554813026 (paperback)
일반단행본
Ontario
Oppositions and paradoxes : philosophical perplexities in science and mathematics / John L. Bell.
xiv, 195 p. : ill. ; 23 cm.
Includes bibliographical references and index.
Acknowledgements -- What is this book about? 1 The continuous and the discrete : Continuity and discreteness -- The Pythagorean school and incommensurable magnitudes -- Atomism -- The stoics and the continuum theory of matter -- Zeno's paradoxes -- Contemporary versions of Zeno's paradoxes: supertasks -- Infinitesimals. 2 Oppositions and paradoxes in mathematics: set theory and the infinite : Set theory and the one/many opposition -- Paradoxes of the infinite -- Uncountable infinities -- Set-theoretic antinomies -- The axiom of choice. 3 The strange universe of non-Euclidean geometry : Hyperbolic geometry -- Riemannian geometry. 4 Puzzles and paradoxes of time travel : Time travel into the past: branching timelines -- Temporal loops -- Time travel into the future -- The future time viewer -- Two-dimensional time -- Temporal interdicts -- Time travel as a physical possibility. 5 Puzzles and paradoxes of relativity theory : Special relativity -- Spacetime -- Faster-than-light particles in special relativity: tachyons -- General relativity: the principle of equivalence -- Black holes. 6 Puzzles and paradoxes in quantum physics : Waves vs. particles -- Heisenberg's uncertainty principle and Bohr's principle of complementarity -- Quantum tunneling -- The riddle of polarization -- Schrödinger's cat paradox -- Interpretations of quantum theory -- The EPR paradox and nonlocality. 7 Cosmic enigmas : The beginnings of cosmology -- Steady-state vs. Big Bang -- The problem of the origin of the universe -- Dark matter, dark energy, and cosmic acceleration -- The argument from design vs. the multiverse -- A philosophical coda. Appendix 1 Paradoxes in logic and language : The liar paradox -- The liar, the truth-teller, and the dice man -- Curry's paradox -- The Grelling-Nelson paradox -- Berry's paradox -- Richard's paradox -- The paradox of the heap. Appendix 2 Reflections on the constant and the changing. Appendix 3 Oppositions in Kant's philosophy. Appendix 4 The principle of microstraightness, nilpotent infinitesimals, and the differential calculus. Further reading -- List of oppositions -- List of paradoxes -- Index.
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Oppositions and Paradoxes: Philosophical Perplexities in Science and Mathematics |
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Oppositions and Paradoxes: Philosophical Perplexities in Science and Mathematics (Philosophical Perplexities in Science and Mathematics)
Explains and investigates the paradoxes and puzzles that arise out of conceptual oppositions in physics and mathematics. In the process, John L. Bell not only motivates abstract conceptual thinking about the paradoxes at issue, he also offers a compelling introduction to central ideas in such otherwise difficult topics as non-Euclidean geometry, relativity, and quantum physics.