ANOTHER LOOK at the SECOND INCOMPLETENESS THEOREM

Albert Visser*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this paper 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.

Original languageEnglish
Pages (from-to)269-295
Number of pages27
JournalReview of Symbolic Logic
Volume13
Issue number2
Early online date10 Jun 2019
DOIs
Publication statusPublished - Jun 2020

Keywords

  • Formal Theories
  • Second Incompleteness Theorem

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