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Comment Re:So... (Score 4, Informative) 86

No one claimed that it was computer-perfect play and, of course, it should have been drawn - Carlsen is not perfect. But when you look at Hans' analysis of the game and his claims of preparation for a highly unusual Carlsen line, I think that it does look a bit dubious. I agree that evidence is key.

Comment professors (Score 4, Insightful) 73

Dear Anant,

I am a young researcher at your own institution. One might think that online courses (such as those offered by edX) will make professors (at least those who teach) obsolete. What role do you see professors playing in the future of education? As someone on that career path, I am particularly interested in your views.

Sincerely,
Nathaniel Stapleton

Comment There are other, less tricky, proofs (Score 1) 1260

For instance, one could take the perspective of analysis. In the real numbers, given a number such as 1 and some other number x, if |1-x| e for any positive real number e then 1 = x (think about this for awhile, if you haven't before, and you will probably believe it). The point here is that the sequence of numbers .9, .99, .999, .9999 etc gets arbitrarily close to the number 1. So the limit of this sequence .999... = 1. I think that this proof is much more intuitive and less "tricky" (ie. does not rely on algebraic manipulation/slight of hand).

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