jsteinhardt comments on Tiling Agents for Self-Modifying AI (OPFAI #2) - Less Wrong

55 Post author: Eliezer_Yudkowsky 06 June 2013 08:24PM

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Comment author: jsteinhardt 08 June 2013 02:00:41PM 1 point [-]

Given that the current Lob paper is non-constructive (invoking the axiom of choice) and hence is about as uncomputable as possible, I don't understand why you think mathematical logic will help with computational concerns.

Comment author: Eliezer_Yudkowsky 08 June 2013 09:10:55PM 1 point [-]

The paper on probabilistic reflection in logic is non-constructive, but that's only sec. 4.3 of the Lob paper. Nothing non-constructive about T-n or TK.

Comment author: somervta 08 June 2013 02:53:36PM 0 points [-]

I believe one of the goals this particular avenue of research is to make this result constructive. Also, He was talking about the study of mathematical logic in general not just this paper.

Comment author: [deleted] 08 June 2013 09:03:45PM 0 points [-]

I have little patience for people who believe invoking the axiom of choice in a proof makes the resulting theorem useless.

Comment author: jsteinhardt 09 June 2013 03:08:01AM *  2 points [-]

That was rather rude. I certainly don't claim that proofs involving choice are useless, merely that they don't address the particular criterion of computational feasibility.