gjm comments on The value of learning mathematical proof - Less Wrong

3 Post author: JonahSinick 02 June 2015 03:15AM

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Comment author: gjm 02 June 2015 07:42:54AM 1 point [-]

but if your goal is to teach humility, I suspect there are better ways

I don't think humility is what Jonah is trying to teach -- rather, it's something more like the habit of working really hard at understanding things. (Though I worry that there's a roughly opposite error: thinking that skill in other domains is like skill in pure mathematics and requires the same kind of intellectual work. The same amount, maybe -- though actually I suspect it varies -- but not necessarily the same kind.)

Comment author: JonahSinick 02 June 2015 10:00:39AM 0 points [-]

(Though I worry that there's a roughly opposite error: thinking that skill in other domains is like skill in pure mathematics and requires the same kind of intellectual work. The same amount, maybe -- though actually I suspect it varies -- but not necessarily the same kind.)

I was addressing the specific skill of reading carefully and not making assumptions that the author hasn't stated, which is highly relevant to learning in general. I agree that the work that goes into understanding things outside of pure math isn't necessarily of the same type as within pure math.