Ziroshima: Your intuition is correct in that Gödel's proposition I'mUnprovable does indeed lead to an inconsistency in foundations. However, there are found

Ziroshima: Your intuition is correct in that Gödel's proposition I'mUnprovable does indeed lead to an inconsistency in foundations. However, there are foundational theories that can be proved to be free of contradiction. For example, see the following: https://papers.ssrn.com/abstract=3418003 https://papers.ssrn.com/abstract=3418003