cousin_it comments on The Rhythm of Disagreement - Less Wrong

12 Post author: Eliezer_Yudkowsky 01 June 2008 08:18PM

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Comment author: cousin_it 27 May 2012 07:55:40AM *  1 point [-]

Sorry, are you familiar with the mathematical concept of limit? Saying that "f(x) goes to zero as x goes to zero" does not imply the nonsensical belief that "x goes to zero".

Comment author: CuSithBell 27 May 2012 03:27:43PM *  0 points [-]

Yes, I am familiar with limits. What I mean is - if you say "f(x) goes to zero as x goes to zero", then you are implying (in a non-mathematical sense) that we are evaluating f(x) in a region about zero - that is, we are interested in the behavior of f(x) close to x=0.

Edit: More to the point, if I say "g(f(x)) goes to zero as f(x) goes to infinity", then f(x) better not be (known to be) bounded above.