Sniffnoy comments on Math is Subjunctively Objective - Less Wrong

14 Post author: Eliezer_Yudkowsky 25 July 2008 11:06AM

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Comment author: Bugmaster 18 October 2011 11:43:52PM 1 point [-]

I am not Randolf, but I've met people who would answer this question thusly:

Ultimately, you are still relying on faith, intuition, or some other objective criterion in order to construct all of these logical proofs. I could choose different axioms and construct some proofs of my own, which would differ from yours. Furthermore, the very value you place on axioms and logic is subjective; I, on the other hand, place a much higher value on feelings and intuitions. Therefore, even though your arguments may be entirely logical and therefore important in your subjective worldview, they hold very little value in mine (though the reverse is also true).

I don't think it's possible to use logic to convince someone of the importance of logic, unless he happens to be convinced already.

Comment author: Sniffnoy 19 October 2011 02:11:17AM 1 point [-]

Yes, I wouldn't have bothered if he had said something like that; the thing is from the above that didn't seem to be the objection he was making. Since he now says it essentially is, I think I'll step out of this argument. (Well, the first two sentences are easily answerable, but I'll let someone else do that if they really want.) Also apparently by "intuition is required", he means "brains cannot carry out an algorithm 100% reliably, and 100% reliability is required (or something like that)". Which would I suppose make him the first person I've heard to actually (effectively) endorse "ordinary person reasoning", where only chains of reasoning of a bounded (and very short!) length are valid! (I seem to recall this being discussed somewhere here before... can't find it right now, though.) Anyway, I won't bother commenting on this any further.

Comment author: Sniffnoy 18 December 2011 07:38:02AM 1 point [-]

Oh, I found it. It wasn't a discussion here, it was a post on Scott Aaronson's blog: http://www.scottaaronson.com/blog/?p=232