Connes' Rigidity Theorem: Disproof of Open AI's Counterexample and Proof | Hacker News Reader

Connes' Rigidity Theorem: Disproof of Open AI's Counterexample and Proof

philarchive.org

14 pointsgone354 comments

(dupe) OpenAI's claimed disproof of Connes' Rigidity Conjecture is invalid [pdf]

  (https://philarchive.org/archive/NIEWTCv17)
  32 points|muglug|23 hours ago|37 comments

~ https://news.ycombinator.com/item?id=49140869

To save anyone else the trouble: discussion there is not really worth looking at (largely a flame war), except: the author of this disproof seems to be a crank, and the disproof's been refuted.

I'm going to believe that both results are true, while simultaneously being not true.

> Corollary 14 (There is no such thing as a torsor). A torsor is defined as a “group without a distinguished identity element.” No such object exists. The proof is immediate from the axioms of group theory.

I somehow doubt that a standard concept you can look up [0] is vacuous due to simple word games.

[0] https://ncatlab.org/nlab/show/torsor

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