Paper/Gödel's Theorem and Information

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Chaitin, Gregory (May 7, 1982). Gödel's Theorem and Information (PDF). local page: International Journal of Theoretical Physics. pp. 941– 954. 


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The origin of Gödelian Hunch

In the second paragraph of this paper:

In[1], Szangolies coined the expression “Gödelian hunch” to describe “the idea that the origin of the peculiarities surrounding quantum theory lie in phenomena related, or at least similar, to that of incompleteness in formal systems.” What if the paradoxical nature of quantum theory could find its source in some undecidability analog to the one emerging from the Liar ? This essay aims at arguing for such quantum Gödelian hunch via two case studies: quantum contextuality as an instance of the Liar-like logical structure of quantum propositions ; and the measurement problem as a self-referential problem.

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Author: Gregory Chaitin