replying to markovian eboking post:
long term determinism does not follow from microspic (local) determism of the ruleset, half-move element.
Even determinics ruleset transitions can be modeled by some probability distribution with all uncertainty put to zero and all the mass of the distribution put on what one calls deterministic transition.
calling a within some breadth of calcuation hozizon still deterministic player, non deterministic is not very nuanced. Refusing the duality of chess, it has a mechanical rule set with finite rules that we can all control as verbalizable knowledge, and keep applying given a position to consider possible futures made of many such half-move deterministic step, and yet have less deterministic confidence at legal terminal outcome. It does have to resort to odds. But that is just a human rational player. niether the complete tree superhuman knower of some game theory models.. neither the poker player where the ruleset is about finite set of random transitions (card deck and picking rules.. assuming blind shuffling i guess).
some posts have already suggest to not confused beyond horizon uncertainty from within luck. But yes, we needed some agreable presentation of the factors clearly invovled in everybody's chess experience at any level.
And yes there are many aspect of human within and beyond horizon that can make legal outcome certainty fall from next move decision containing uncertainty... (yes i also think, that given our horizon, we need to use within horizon heuristic forecasting, be it evollved ones like material count, to assess what we could calculate, ot compensate for that obvious beyond horizon uncertainty (by calculation, repeating for emphasis). The jusntness of however one assessed a far calculated within horizon would depend on chess knowledge carried consciously or digested most accurately through experience (or both), and that is a life long or long life stretch development endeavor....
PS: game theory determinism may not have room for such nuance of scope of determinism, as long as it is restricted to complete tree knowledge as definition of rational player (also hard to find extensive based definitions of strategy sets, or i don't get those, when i read them, if I read them).
replying to markovian eboking post:
long term determinism does not follow from microspic (local) determism of the ruleset, half-move element.
Even determinics ruleset transitions can be modeled by some probability distribution with all uncertainty put to zero and all the mass of the distribution put on what one calls deterministic transition.
calling a within some breadth of calcuation hozizon still deterministic player, non deterministic is not very nuanced. Refusing the duality of chess, it has a mechanical rule set with finite rules that we can all control as verbalizable knowledge, and keep applying given a position to consider possible futures made of many such half-move deterministic step, and yet have less deterministic confidence at legal terminal outcome. It does have to resort to odds. But that is just a human rational player. niether the complete tree superhuman knower of some game theory models.. neither the poker player where the ruleset is about finite set of random transitions (card deck and picking rules.. assuming blind shuffling i guess).
some posts have already suggest to not confused beyond horizon uncertainty from within luck. But yes, we needed some agreable presentation of the factors clearly invovled in everybody's chess experience at any level.
And yes there are many aspect of human within and beyond horizon that can make legal outcome certainty fall from next move decision containing uncertainty... (yes i also think, that given our horizon, we need to use within horizon heuristic forecasting, be it evollved ones like material count, to assess what we could calculate, ot compensate for that obvious beyond horizon uncertainty (by calculation, repeating for emphasis). The jusntness of however one assessed a far calculated within horizon would depend on chess knowledge carried consciously or digested most accurately through experience (or both), and that is a life long or long life stretch development endeavor....
PS: game theory determinism may not have room for such nuance of scope of determinism, as long as it is restricted to complete tree knowledge as definition of rational player (also hard to find extensive based definitions of strategy sets, or i don't get those, when i read them, if I read them).