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And then they created AlphaGo Zero, which is not trained on any previous games, and it was even stronger!

AlphaGo Zero was also trained on millions of games, they just weren't games played by human players.

A "reasoning LLM" might not be conceptually far from MCTS.

I really don't like the use of the word memory here, even in quotes. AlphaGo has a much better "understanding" of Go positions than mine (7k).

Nothing that uses a mathematical model for solving a problem will ever reason because reasoning can only be done by things we don't understand...