@12964
"Capablanca was using the word imprecisely too, as a chess player, not a mathematician."
++ Capablanca studied engineering at Columbia University,
but dropped out to become a professional chess player.
Lasker, a PhD. in mathematics, and Steinitz also a mathematician wrote essentially the same.
"There is no empirical evidence to support inferiority of these moves."
++ There is. See Figure 5b and Figure 31 of this Scientific paper. There was no human input but the Laws of Chess. There were 3-4 training seeds of 1,000,000 training steps.
"Chess is almost all about playing moves in positions which are NOT amenable to rigorous calculation" ++ Playing chess is about selecting one move among the legal moves,
using logic when possible and calculation when unavoidable.
Analysing chess is about selecting the reasonable moves among the legal moves.
"when proving a mate in 2 problem (surely stupendously easier than solving chess) is correct, how many of the opponents legal responses to the first move can you ignore?"
++ All of them. Solving a mate in 2 problem is about understanding the idea in the position, not about calculating. There are competitions in problem solving.
One of the best at that is John Nunn, Ph.D. in mathematics.
Yes, but the human mind can't retain all the info