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괴델이 해석하는 상대성이론과 관념론철학의 관계

Gödel’s Hermeneutics of the Relationship between Relativity Theory and Idealistic Philosophy

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주제분류수학

초록

이 연구는 시간에 대한 분석을 중심으로 상대성이론과 관념론철학의 관계에 대한 괴델의 해석을고찰하는 학제적 접근이다. 이를 위하여 괴델 논문 (1949a) 의 역사적 배경과 의미, 괴델의 시간해석, 괴델의 회전하는 우주론이 논의된다. 괴델에 의하면, 아인슈타인의 상대성이론의 시간 해석과관념론의 철학적 시간 해석은 논리적으로 양립가능하다. 이러한 시간의 조건은 회전하는 우주 모델내에서 수학적으로 만족될 수 있다. 그러므로 괴델은 회전하는 우주 내에서 시간의 여행이 가능하다고주장한다.

Abstract

This interdisciplinary study explores Gödel’s hermeneutics of the relationship betweenrelativity theory and idealistic philosophy in terms of time. For Gödel, Einstein’scontribution to the physical realization of idealistic philosophy would beremarkable. We start with a historical background around Gödel’s paper for Einstein(1949a). From the perspective of Gödel’s cosmology, the second part addressesthe relative nature of time, and the next then investigates the rotating model ofuniverses. Gödel’s own results show that the temporal conditions of relativity andidealistic 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.

참고문헌 (17)

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  3. R. FEYNMAN, "16-1 Relativity and Philosophers in The Feynman Lectures on Physics I" (1963), Addison-Wesley Publishing Company
  4. K. GODEL, "A remark about the relationship between relativity theory and idealistic philosophy in Albert Einstein, Philosopher-Scientist", pp.557~562 (1949), Open Court
  5. K. GODEL, "A remark about the relationship between relativity theory and idealistic philosophy (1949a) in Kurt Godel Collected Works II: Publications 1938-1974", pp.202~207 (1990), Oxford University Press
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  9. 9-B2) in Kurt Godel Collected Works III: Unpublished Essays and Lectures, "Some observations about the relationship between theory of relativity and Kantian philosophy(*1946", pp.1995, K. GODEL
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  16. 현우식, "괴델이 보는 수학의 토대", 한국수학사학회지, 20(3), pp.17~26 (2007), 한국수학사학회
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