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

14 pointsposted 12 hours ago
by gone35
(philarchive.org)

4 Comments

defrost

9 hours 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

versteegen

9 hours 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

9 hours ago

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

LegionMammal978

10 hours 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