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Comment Re:Dis-proof of Goldbach as stated? (Score 5, Informative) 170

http://mathworld.wolfram.com/GoldbachConjecture.html

Goldbach's original conjecture (sometimes called the "ternary" Goldbach conjecture), written in a June 7, 1742 letter to Euler, states "at least it seems that every number that is greater than 2 is the sum of three primes" (Goldbach 1742; Dickson 2005, p. 421). Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed. As re-expressed by Euler, an equivalent form of this conjecture (called the "strong" or "binary" Goldbach conjecture) asserts that all positive even integers >=4 can be expressed as the sum of two primes.

Comment Re:A Few Notes (Score 2) 206

Third, all of this is only somewhat relevant to actual chess playing, and only at the very highest levels of play; the average FIDE Master (i.e. a well above average tournament player, though nowhere near being among the 1,000 best players in the world) need not remove the King's Gambit from his repertoire because it has been "solved". This has, historically, been one of the most dynamic openings in chess, with tons of opportunities for tactical tomfoolery and psychological pressure. When we talk about "perfect play", or "near perfect play", we're already reaching beyond the level of world champions.

If chess is so hard that WORLD CHAMPIONS frequently and regularly make dumb moves -- yes, that's what not playing perfectly is defined as -- then why should it attract any interest as a discipline at all? It's like wheelchair ballet.

As a GAME -- an opportunity for excitement, aggression, a way to humiliate your opponent -- sure, it makes sense to play chess. But so does poker. As a mathematical discipline -- we're outclassed as a species. We have no business studying chess anymore.

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