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Bad news from Belgium - OT questions

Posted By: Jason Lee
Date: Monday, 11 October 2010, at 1:19 p.m.

In Response To: Bad news from Belgium - OT questions (Casper van der Tak)

Intuitively, I'd say that there would be an infinitesimally small, but non-zero chance that perfect play would be found. I have read before - I guess that either Timothy or Jason wrote it - that the math works out better if you consider this a zero chance, but why?

Because probabilities are real numbers, and the real numbers satisfy the Archimedean Property. This essentially says that there is no such thing as an "infinitely large" or "infinitesimally small" real number.

JLee

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