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GÖDEL’S THEOREM AND DIRECT SELF-REFERENCE

Part of: Mathematical Logic and Foundations

Published online by Cambridge University Press:  02 December 2021

SAUL A. KRIPKE Open the ORCID record for SAUL A. KRIPKE [Opens in a new window]
SAUL A. KRIPKE*
Affiliation:
THE SAUL KRIPKE CENTER, THE GRADUATE CENTER CUNY, 365 FIFTH AVE., ROOM 7118 NEW YORK, NY 10016, USA
*
E-mail: [email protected]
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Abstract

In his paper on the incompleteness theorems, Gödel seemed to say that a direct way of constructing a formula that says of itself that it is unprovable might involve a faulty circularity. In this note, it is proved that ‘direct’ self-reference can actually be used to prove his result.

Keywords

direct self-referenceGödel numberingIncompleteness

MSC classification

Primary: 03-03: Historical (must also be assigned at least one classification number from Section 01)
Type
Research Article
Information
The Review of Symbolic Logic , Volume 16 , Issue 2 , June 2023 , pp. 650 - 654
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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References

BIBLIOGRAPHY

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