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To be able to compute all the moves in chess and to play perfectly is literally impossible. There are more possible games in chess than atoms, protons, etc. Even the amount of possible games from ELO 2900 and up are still going to a number humans can not even comprehend, and that a computer would not be able to solve. Theoretically there is perfect play in chess, but theoretically there is also perfect play in basketball or baseball.


Advanced or centaur chess (where the team consists of a man plus a computer chess engine) tournaments routinely consist of 90% draws, and the best players are estimated at 3600 ELO, very close to the theoretical perfect play [1].

You may find Gwern's comments on Advanced chess interesting: https://www.gwern.net/Notes#advanced-chess-obituary

[1] http://www.cse.buffalo.edu/~regan/papers/pdf/RMH11b.pdf




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