Dmytry comments on An example of self-fulfilling spurious proofs in UDT - Less Wrong

20 Post author: cousin_it 25 March 2012 11:47AM

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Comment author: gRR 27 March 2012 01:32:58PM *  0 points [-]

[EDIT: this is wrong] You're saying, I don't get "Provable(Provable(S) => S)", but only "Provable(Provable(Provable(S) => S))"?

But then,
Provable(Provable(Provable(S) => S)) =>
Provable(Provable(Provable(S)) => Provable(S)) => /Loeb's theorem/
Provable(Provable(S)) =>
[EDIT: this is also wrong] Provable(S)

Comment author: cousin_it 27 March 2012 01:46:26PM *  2 points [-]

I still don't get it... Why does Provable(Provable(S)) lead to Provable(S)?

Comment author: gRR 27 March 2012 02:10:49PM 1 point [-]

Sorry, my error. Two errors, even. I'll think more.