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ANOTHER LOOK AT THE SECOND INCOMPLETENESS THEOREM

Published online by Cambridge University Press:  10 June 2019

ALBERT VISSER
ALBERT VISSER*
Affiliation:
Department of Philosophy, Utrecht University
*
*DEPARTMENT OF PHILOSOPHY UTRECHT UNIVERSITY JANSKERKHOF 13, 3512BL UTRECHT, THE NETHERLANDS E-mail: [email protected]
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Abstract

In this article we study proofs of some general forms of the Second Incompleteness Theorem. These forms conform to the Feferman format, where the proof predicate is fixed and the representation of the set of axioms varies. We extend the Feferman framework in one important point: we allow the interpretation of number theory to vary.

Keywords

03A0503B2503F2503F3003F45Second Incompleteness Theoremformal theories
Type
Research Article
Information
The Review of Symbolic Logic , Volume 13 , Issue 2 , June 2020 , pp. 269 - 295
Copyright
Copyright © Association for Symbolic Logic 2019 

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