Difference between revisions of "Paper/Gödel's Theorem and Information"

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(Created page with "{{cite book |title=Gödel's Theorem and Information |first=Gregory |last=Chaitin |author-link=Gregory Chaitin |date=May 7, 1982 |publisher=International Journal of Theoretical Physics |url=https://www.cs.ox.ac.uk/activities/ieg/e-library/sources/georgia.pdf |location=local page |pages=941- 954 }} <noinclude> {{#Widget:PDF |url=https://www.cs.ox.ac.uk/activities/ieg/e-library/sources/georgia.pdf |width=900 |height=800 }} =The o...")
 
 
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=The origin of Gödelian Hunch=
=The origin of Gödelian Hunch=
In the second paragraph of this paper:  
In the last paragraph of this paper:  
{{Blockquote|text=In<ref>{{:Paper/Epistemic Horizons and the Foundations of Quantum Mechanics}}</ref>, [[Jochen Szangolies|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.|sign=[[Hippolyte Dourdent]]}}
{{Blockquote|text=A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world, and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundations as is exhibited by physics.|sign=[https://plato.stanford.edu/entries/weyl/ Herman Weyl], 1949}}


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|category_csd=Quantum Mechanics,Epistemology,Topological Undecidability
|category_csd=Quantum Mechanics,Physical Meaning of Data,Information Theory,Number Theory
|semantic_labels=Author: [[Authored by::Hippolyte Dourdent]] [[Category:Self Reference]]
|semantic_labels=Author: [[Authored by::Gregory Chaitin]] [[Category:Self Reference]]
}}
}}
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Latest revision as of 09:21, 21 November 2022

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 last paragraph of this paper:

A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world, and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundations as is exhibited by physics.

— Herman Weyl, 1949

References


Related Pages

Author: Gregory Chaitin


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