24 ms·

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

• LegionMammal978 2mo ago
  > 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 https://ncatlab.org/nlab/show/torsor
• defrost 2mo ago
  (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 https://news.ycombinator.com/item?id=49140869
  • versteegen 2mo ago
    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.
• raver1975 2mo ago
  I'm going to believe that both results are true, while simultaneously being not true.