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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On Gödel's second incompleteness theorem


Author: Thomas Jech
Journal: Proc. Amer. Math. Soc. 121 (1994), 311-313
MSC: Primary 03B10; Secondary 03C62, 03F25
MathSciNet review: 1191869
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Abstract: In this note we give a short proof of Gödel's Second Incompleteness Theorem.


References [Enhancements On Off] (What's this?)

  • [1] Kurt Gödel, Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatsh. Math. Phys. 38 (1931), no. 1, 173–198 (German). MR 1549910, http://dx.doi.org/10.1007/BF01700692
  • [2] Gaisi Takeuti, Proof theory, 2nd ed., Studies in Logic and the Foundations of Mathematics, vol. 81, North-Holland Publishing Co., Amsterdam, 1987. With an appendix containing contributions by Georg Kreisel, Wolfram Pohlers, Stephen G. Simpson and Solomon Feferman. MR 882549 (89a:03115)
  • [3] P. Vopěnka, A new proof of the Gödel’s result on non-provability of consistency, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 111–116 (English, with Russian summary). MR 0207546 (34 #7361)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1191869-1
PII: S 0002-9939(1994)1191869-1
Article copyright: © Copyright 1994 American Mathematical Society