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Basic Transfinite Arithmetic Explained

Submitted by strangequark on Mon Nov 2, 2009 5:01pm.

Well to say basic isn't exactly fair. But this is cool and important and not too hard! So George Cantor, the Father of Set Theory (an informal title) was the first to show that there are different "levels" of actual infinities. What he did was pro... Read more »

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Nonstandard Analysis: Calculus Underground!

Submitted by strangequark on Fri Oct 30, 2009 11:40am.

Calculus is almost exclusively taught geometrically (the way Newton originally formulated calculus). Some mathematicians do not prefer to use questionable spatial definitions but prefer a more rigorous approach. These are the constructivists, and ... Read more »

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The Emperor's Newest Minds

Submitted by strangequark on Thu Oct 29, 2009 7:09am.

For those of you who may be interested in math/physics/logic here's a group for you: http://www.chess.com/groups/home/the-emperors-newest-minds We're new, so for right now we'll only have a few vote chess games or team matches going. Specificall... Read more »

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Mathematical Position Analysis

Submitted by strangequark on Thu Oct 1, 2009 11:17am.

1. Set p, for pawn, such that the numerical weight of p is p=1.0 2. Set d, for development. In general, 3d=p (Siegbert Tarrasch) A sub-expansion of d: Nd4 is equivalent to 2d because of its excellent placement. So Nd4=(2/3)p. Also, Ba4 is given ... Read more »

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185 reads | 8 comments