SarahC comments on Science: Do It Yourself - Less Wrong

53 Post author: alyssavance 13 February 2011 04:47AM

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Comment author: [deleted] 28 February 2011 12:05:03AM 3 points [-]

Also -- Terence Tao has pretty broad interests already within mathematics.

And I'm starting to suspect that the category "mathematics" is like the category "single-celled organisms." It's a convenient notation to lump together a class of objects that most humans ignore, but that are intrinsically much more variable than all the other objects that are more salient to most humans' lives. Two single-celled organisms can be more different from each other than you are from an oak tree. Commutative algebra and non-commutative algebra can be more different, separated by a wider gulf of background knowledge, than genetics and economics. (That's a little hyperbolic but I think some statements of that kind are actually true.)

So I think people with broad mathematical interests are really more "polymathic" than we tend to realize from the outside. Math is diverse. Terence Tao may in fact be more of a polymath than Tyler Cowen, if we're talking about expertise in radically varied fields that are rarely studied together by one person.

Comment author: Manfred 28 February 2011 02:07:25AM *  1 point [-]

The caveat is that lots of categories are like the category "single-celled organisms," from what I can tell. I would guess that you are familiar with mathematics, so you can look at math and go "wow, there are so many sub-fields. Other fields aren't like that!" Meanwhile someone familiar with biology might think "wow, there's so much to study within biology; math doesn't seem like that!"

Edit: on the other hand I could be wrong - if you're not particularly familiar with mathematics research compared to biology research my story is inaccurate.