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Re:Juggling by numbers: How notation revealed new tricks by dalke on Thursday December 20, 2012 @12:39PM (#4948864)
Though Gauss famously remarked, "What we need are notions, not notations." :)
Re:Juggling by numbers: How notation revealed new tricks by ColinWright on Thursday December 20, 2012 @01:07PM (#4949026)
That's true, but without notation at one level, it's hard to get the notions at the next level. Familiarity, comfort even, with the notation for the things you understand and the things others have done releases your mind to have the notions at the next level.

After that, you develop the notation for these new ideas, and the cycle repeats.

And in addition, very few are as good as Gauss. It's possible, even plausible, that he didn't need the notations at all. I, for one, certainly do.

Re:Juggling by numbers: How notation revealed new tricks by dalke on Thursday December 20, 2012 @04:53PM (#4950287)
For what it's worth, I agree. Ramanujan would also be in that category of people who don't need notation.