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arXiv 2004.10482math.CTmath.LO
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Gödel incompleteness through Arithmetic Universes after A. Joyal

Joost van Dijk, Alexander Gietelink Oldenziel

英文摘要:

We give proofs of Gödel's incompleteness theorems after A. Joyal. The proof uses internal category theory in an arithmetic universe, a predicative generalisation of topoi. Applications to Löb's Theorem are discussed.

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