Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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Gödel's Hermeneutics of the Relationship between Relativity Theory and Idealistic Philosophy

괴델이 해석하는 상대성이론과 관념론철학의 관계

  • Received : 2013.12.05
  • Accepted : 2014.02.10
  • Published : 2014.02.28
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Abstract

This interdisciplinary study explores G$\ddot{o}$del's hermeneutics of the relationship between relativity theory and idealistic philosophy in terms of time. For G$\ddot{o}$del, Einstein's contribution to the physical realization of idealistic philosophy would be remarkable. We start with a historical background around G$\ddot{o}$del's paper for Einstein(1949a). From the perspective of G$\ddot{o}$del's cosmology, the second part addresses the relative nature of time, and the next then investigates the rotating model of universes. G$\ddot{o}$del's own results show that the temporal conditions of relativity and idealistic philosophy are satisfiable in the mathematical model of rotating universes. Thus, it could be asserted to travel into any region of the past, present or future, and back again.

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References

  1. J. BARROW, Godel and Physics in Kurt Godel and the Foundations of Mathematics: Horizon of Truth, M. BAAZ, C. PAPADIMITRIOU, H. PUTNAM, D. SCOTT, C. HARPER, Jr. (eds.), Cambridge: Cambridge University Press, 2011, 255-276.
  2. J. DAWSON, Logical Dilemma: The Life and Work of Kurt Godel, Massachusetts: A K Peters, 1997.
  3. R. FEYNMAN, 16-1 Relativity and Philosophers in The Feynman Lectures on Physics I, R. FEYNMAN, R. LEIGHTON, M. SANDS, New York: Addison-Wesley Publishing Company, 1963.
  4. K. GODEL, A remark about the relationship between relativity theory and idealistic philosophy in Albert Einstein, Philosopher-Scientist, Paul SCHILPP (ed.), La Salle: Open Court, 1949, 557-562.
  5. K. GODEL, A remark about the relationship between relativity theory and idealistic philosophy (1949a) in Kurt Godel Collected Works II: Publications 1938-1974, S. FEFERMAN, J. DAWSON, Jr., S. KLEENE, G. MOORE, R. SOLOVAY, J. van HEIJENOORT (eds.), New York: Oxford University Press, 1990, 202-207.
  6. K. GODEL, An example of a new type of cosmological solutions of Einstein's field equations of gravitation (1949) in Kurt Godel Collected Works II: Publications 1938-1974, S. FEFERMAN, J. DAWSON, Jr., S. KLEENE, G. MOORE, R. SOLOVAY, J. van HEIJENOORT (eds.), New York: Oxford University Press, 1990, 190-198.
  7. K. GODEL, Rotating universes in general relativity theory (1952) in Kurt Godel Collected Works II: Publications 1938-1974, S. FEFERMAN, J. DAWSON, Jr., S. KLEENE, G. MOORE, R. SOLOVAY, J. van HEIJENOORT (eds.), New York: Oxford University Press, 1990, 208-216.
  8. K. GODEL, Lecture on rotating universes(*1949b), Kurt Godel Collected Works III: Unpublished Essays and Lectures, S. FEFERMAN, W. GOLDFARB, C. PARSONS, R. SOLOVAY (eds.), New York: Oxford University Press, 1995, 269-287.
  9. K. GODEL, Some observations about the relationship between theory of relativity and Kantian philosophy(*1946/9-B2) in Kurt Godel Collected Works III: Unpublished Essays and Lectures, S. FEFERMAN, W. GOLDFARB, C. PARSONS, R. SOLOVAY (eds.), New York: Oxford University Press, 1995, 230-246.
  10. K. GODEL, Some observations about the relationship between theory of relativity and Kantian philosophy(*1946/9-C1) in Kurt Godel Collected Works III: Unpublished Essays and Lectures, S. FEFERMAN, W. GOLDFARB, C. PARSONS, R. SOLOVAY (eds.), New York: Oxford University Press, 1995, 247-259.
  11. S. HAWKING, Introductory note to 1949 and 1952 in Kurt Godel Collected Works II: Publications 1938-1974, S. FEFERMAN, J. DAWSON, Jr., S. KLEENE, G. MOORE, R. SOLOVAY, J. van HEIJENOORT (eds.), New York: Oxford University Press, 1990, 189-190.
  12. W. RINDLER, Godel, Einstein, Mach, Gamow, and Lanczos: Godel's Remarkable Excursion into Cosmology in Kurt Godel and the Foundations of Mathematics: Horizon of Truth, M. BAAZ, C. PAPADIMITRIOU, H. PUTNAM, D. SCOTT, C. HARPER, Jr. (eds.), Cambridge: Cambridge University Press, 2011, 185-211.
  13. H. STEIN, Introductory note to 1949a in Kurt Godel Collected Works II: Publications 1938-1974, S. FEFERMAN, J. DAWSON, Jr., S. KLEENE, G. MOORE, R. SOLOVAY, J. VAN HEIJENOORT (eds.), New York: Oxford University Press, 1990, 199-201.
  14. H. WANG, Reflections on Kurt Godel, Cambridge: The MIT Press, 1987.
  15. H. WANG, A Logical Journey: From Godel to Philosophy, Cambridge: The MIT Press, 1996.
  16. HYUN Woosik, Godel on the Foundations of Mathematics, The Korean Journal for History of Mathematics 20(3) (2007), 17-26.
  17. P. YOURGRAU, Godel Meets Einstein: Time Travel in the Godel Universe, La Salle: Open Court, 1999.