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ON THE INEVITABILITY OF THE CONSISTENCY OPERATOR

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Publication:4628679
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DOI10.1017/jsl.2018.65zbMath1456.03091arXiv1708.07615OpenAlexW2750112826WikidataQ128296852 ScholiaQ128296852MaRDI QIDQ4628679

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Publication date: 15 March 2019

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07615

zbMATH Keywords

consistencyreflection principles


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Gödel numberings and issues of incompleteness (03F40)


Related Items

Evitable iterates of the consistency operator, A note on the consistency operator



Cites Work

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  • Turing-Taylor expansions for arithmetic theories
  • Provability logics for natural Turing progressions of arithmetical theories
  • Proof-theoretic analysis by iterated reflection
  • Provability algebras and proof-theoretic ordinals. I
  • Iterated local reflection versus iterated consistency
  • Slow consistency
  • Uniform density in Lindenbaum algebras
  • On the structure of the degrees of relative provability
  • Reflection principles and provability algebras in formal arithmetic
  • Deduction-preserving "Recursive Isomorphisms" between theories
  • Recursive Pseudo-Well-Orderings
  • Incompleteness along paths in progressions of theories
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