Thanks for writing this post, and specifically for trying to change Scott's mind. Scott's complaints about his math abilities often go like this:
"Man, I wish I wasn't so terrible at math. Now if you will excuse me, I am going to tear the statistical methodology in this paper to pieces."
Put me in as yet another "clearly not in the genius category" person in a somewhat mathy area awaiting the rest of this series. I think a lot about what "mathematical sophistication" is, I am curious what your conclusions are.
I think mathematical sophistication gets you a lot of what is called "rationality skills" here for free, basically.
Subscribe to RSS Feed
= f037147d6e6c911a85753b9abdedda8d)
Causal stories in particular.
I actually disagree that having a good intuitive grasp of "stories" of this type is not a math thing, or a part of the descriptive statistics magisterium (unless you think graphical models are descriptive statistics). "Oh but maybe there is confounder X" quickly becomes a maze of twisty passages where it is easy to get lost.
"Math things" is thinking carefully.
I think equating lots of derivation mistakes or whatever with poor math ability is: (a) toxic and (b) wrong. I think the innate ability/genius model of successful mathematicians is (a) toxic and (b) wrong. I further think that a better model for a successful mathematician is someone who is past a certain innate ability threshold who has the drive to keep going and the morale to not give up. To reiterate, I believe for most folks who post here the dominating term is drive and morale, not ability (of course drive and morale are also partly hereditary).
I have the sort of math skills that Scott claims to lack. I lack his skill at writing, and I stand in awe (and envy) at how far Scott's variety of intelligence takes him down the path of rationality. I currently believe that the sort of reasoning he does (which does require careful thinking) does not cluster with mathy things in intelligence-space.