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KURT GÖDEL ON LOGICAL, THEOLOGICAL, AND PHYSICAL ANTINOMIES

Part of: Mathematical Logic and Foundations Philosophical aspects of logic and foundations

Published online by Cambridge University Press:  26 July 2021

TIM LETHEN
TIM LETHEN*
Affiliation:
DEPARTMENT OF PHILOSOPHY UNIVERSITY OF HELSINKI P.O. BOX 24 FI-00014 HELSINKIFINLANDE-mail: tim.lethen@gmx.de
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Abstract

This paper presents hitherto unpublished writings of Kurt Gödel concerning logical, epistemological, theological, and physical antinomies, which he generally considered as “the most interesting facts in modern logic,” and which he used as a basis for his famous metamathematical results. After investigating different perspectives on the notion of the logical structure of the antinomies and presenting two “antinomies of the intensional,” a new kind of paradox closely related to Gödel’s ontological proof for the existence of God is introduced and completed by a compilation of further theological antinomies. Finally, after a presentation of unpublished general philosophical remarks concerning the antinomies, Gödel’s type-theoretic variant of Leibniz’ Monadology, discovered in his notes on the foundations of quantum mechanics, is examined. Most of the material presented here has been transcribed from the Gabelsberger shorthand system for the first time.

Keywords

Kurt Gödelantinomiesmonadologytheology

MSC classification

Primary: 03-03: Historical (must also be assigned at least one classification number from Section 01)
Secondary: 03A05: Philosophical and critical 03A10: Logic in the philosophy of science
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 27 , Issue 3 , September 2021 , pp. 267 - 297
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Copyright
© 2021, Association for Symbolic Logic

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