Re:How I learned to love and fear the Riemann Hypothesis
by sanxiyn on Tuesday January 05, 2021 @01:58PM
(#25649422)
I am not sure how math is unlike chess. Chess has three outcomes: win, loss, draw. That seems exactly like math, having true, false, undecidable.
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Re:How I learned to love and fear the Riemann Hypothesis
by gjulianm on Tuesday January 05, 2021 @03:06PM
(#25650322)
Yes, but it isn't useful. A conversation also has three outcomes (neutral, you like the person more, or less) and yet it doesn't make conversations similar to chess.
Re:How I learned to love and fear the Riemann Hypothesis
by whatshisface on Tuesday January 05, 2021 @04:17PM
(#25651187)
Chess and math are both searches over countably infinite trees.
Re:How I learned to love and fear the Riemann Hypothesis
by gjulianm on Tuesday January 05, 2021 @05:55PM
(#25652373)
And a conversation is a search over a countably infinite tree too.
My point is that even though some things have technical similarities, in practice they are very different challenges.
Re:How I learned to love and fear the Riemann Hypothesis
by whatshisface on Tuesday January 05, 2021 @06:00PM
(#25652435)
Math and chess are both very easy to check. Proof checkers and chess rule checkers both exist. "Conversation checkers" do not.
Re:How I learned to love and fear the Riemann Hypothesis
by ellis-bell on Tuesday January 05, 2021 @06:24PM
(#25652694)
chess is actually not very easy to check.
chess is in exp, the class of problems requiring exponential time to solve and exponential time to check. unlike p vs np we do know that exp \neq p.
Re:How I learned to love and fear the Riemann Hypothesis
by whatshisface on Tuesday January 05, 2021 @06:36PM
(#25652804)
It takes O(n) to check if a chess game follows the rules, and to check who wins. Same for checking a proof written in CoQ. What do you mean by "check?"