Abstract
We present an abstract framework in which we give simple proofs for Gödel’s First and Second Incompleteness Theorems and obtain, as consequences, Davis’, Chaitin’s and Kritchman-Raz’s Theorems.
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Acknowledgements
This paper was inspired by many discussions on Gödel’s incompleteness with G. Longo and, particularly, his recent paper [18]. I am grateful to M. Davis, F. Kroon, L. Staiger, K. Svozil and A. Withy for comments which improved the paper.
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Calude, C.S. Incompleteness and the Halting Problem. Stud Logica 109, 1159–1169 (2021). https://doi.org/10.1007/s11225-021-09945-2
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DOI: https://doi.org/10.1007/s11225-021-09945-2