GÖdel meets Einstein : time travel in the GÖdel universe

書誌事項

GÖdel meets Einstein : time travel in the GÖdel universe

Palle Yourgrau

Open Court, c1999

  • : pbk.

タイトル別名

GÖdel meets Einstein

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注記

Rev.ed.of : the disappearance of time

Includes bibliographical references (p. [233]-245) and index

内容説明・目次

内容説明

What happens when the century's greatest logician meets the century's greatest physicist? In the case of Kurt Gdel and Albert Einstein, the result is Gdel's revolutionary new world models for relativity theory Although most famous for his Incompleteness Theorems in mathematical logic, Gdel was a philosopher in his own right, with a special interest in the philosophical problem of Time. Most people are unaware that Gdel and Einstein were close friends for many years at Princeton's Institute for Advanced Study. Gdel extended Einstein's General Theory of Relativity with cosmological models-now known as "Gdel Universes"-with extraordinary properties, including the possibility of closed, timelike curves that allow the philosophical fantasy of time travel to become a scientific reality. For Gdel, however, the reality of time travel signals the unreality of time. If he's right, the real meaning of the Einstein revolution remained a secret for half a century and is only being revealed now.

目次

  • 1 Godel's challenge to cosmology
  • 2 Godel's idealism
  • 3 Time travel and the Godel universe
  • 4 Not everything can be relativized
  • 5 Formalization and representation, Modeling the open future - Aristotle and modern logic, Frege and the decontextualization of thought
  • 6 Being and time, Time and infinity, Being and existence, Decontextualization in a general setting, Temporal mathematics
  • 7 Godel's philosophical achievement.

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