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see comments on Harry Potter and the Methods of Rationality discussion thread, part 14, chapter 82 - Less Wrong Discussion

7 Post author: FAWS 04 April 2012 02:53AM

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Comment author: see 10 April 2012 11:47:51PM 1 point [-]

and so you always stop your approximations at a point where the next digit is 0..4,

Why would I do that rather than simply round correctly for the number of sig figs I'm dealing with?

I don't particularly care how many digits Harry want to go to, just think he should pick 3, or 3.1, or 3.14, or 3.142, or 3.1416, or 3.14159, or 3.141593, or 3.1415927, or 3.14159265 . . . etc.

Comment author: gwern 11 April 2012 12:34:21AM *  3 points [-]

Obviously Harry should go up to the Feynman point.

Comment author: Jonathan_Graehl 11 April 2012 08:21:23AM 0 points [-]

It's a risk for a hypothetical person who is bothered by having to round, which isn't precisely the thing you're bothered by. A person who doesn't decide in advance how many digits to use/remember.