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Unprovability and Proving Unprovability

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Abstract

We investigate the “unprovability of unprovability”. Given a sentence P and a fixed base theory T, the unprovability of P is the sentence “\({T\nvdash P}\) ”. We show that the unprovability of an unprovable true sentence can be “hard to prove”.

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References

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Correspondence to Mingzhong Cai.

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Presented by Constantine Tsinakis

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Cai, M. Unprovability and Proving Unprovability. Stud Logica 103, 559–578 (2015). https://doi.org/10.1007/s11225-014-9579-7

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  • DOI: https://doi.org/10.1007/s11225-014-9579-7

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