Alexander, a roulette wheel may be "completely deterministic" but I do not believe that the roulette dealer is. The dealer can spin the wheel in any whimsical way that he (or she) wishes. He can do a slow spin, then a fast one and then a medium one. At our local casino the dealres are told to vary their spins. The dealer may be in a bad mood and he may take it out on the wheel. As well, he can choose to use the small white ball instead of the regular size ball. He can also choose to release the ball a bit away from where it landed in the previous spin. That happens quite often. Furthermore, he can flick the white ball as slowly or as quickly as he wishes, whatever takes his fancy! So we have four factors which are not at all predictable: the speed of the wheel itself, the speed that the ball is flicked, the choice of ball, and the release point of the ball. All four factors are determined by the dealer (a human being, who is not predictable) and therefore not mechanistic. The dealer's brain does not conform to Newton's Law! Anyway, aside from the dealer, I do not believe that all of the "initial conditions" of the wheel itself are knowable. Will the casino allow anyone to measure all of the dimensions of a particular roulette wheel, including each baffle separating every number on the wheel? Are we allowed to test the wheel to see whether it is perfectly balanced? Are the players allowed to examine the roulette balls in order to weigh them and measure their dimensions? Common sense would say that roulette is not a "completely deterministic system". From a practical perspective, the outcomes can not be predicted, and the casinos bank on that. I do not believe that the use of a computer (super or otherwise) would make any difference! The East Europeans may have had a luck streak or several but I don't believe that their success was due to a crafty computer program. As they say "Do not confuse **** (US = "ass") with class".
Regarding your comment that a "truly random number generator" does not exist. That may be true, in the sense that a perfect sphere or vacuum does not exist. However, casinos don't need to have a perfect RNG. One which is 99.99% random (or whatever the case may be) is adequate for their purposes, just as a person with a gold ingot is satisfied if it is 99.9% pure.
I am very well aware that APS does not attempt to predict the next outcome. I have never said that it does. I can live with probabilities. Life itself confronts us with uncertainty, all the time.
I would be very happy if APS fails (to use your word) when subject to random data. That is, if it does not find any patterns I would be very favourably impressed. That is precisely the test that interested me from the beginning of my imput to this thread. By the way, I believe that you contradicted yourself. Earlier in your post you seem to believe that you did not think there was a "truly random number generator". Later on, you took for granted that random numbers could be generated, for testing by APS. If a "truly" RNG does not exist then how would you be able to get your hands on random numbers?
Regarding your comment that a "truly random number generator" does not exist. That may be true, in the sense that a perfect sphere or vacuum does not exist. However, casinos don't need to have a perfect RNG. One which is 99.99% random (or whatever the case may be) is adequate for their purposes, just as a person with a gold ingot is satisfied if it is 99.9% pure.
I am very well aware that APS does not attempt to predict the next outcome. I have never said that it does. I can live with probabilities. Life itself confronts us with uncertainty, all the time.
I would be very happy if APS fails (to use your word) when subject to random data. That is, if it does not find any patterns I would be very favourably impressed. That is precisely the test that interested me from the beginning of my imput to this thread. By the way, I believe that you contradicted yourself. Earlier in your post you seem to believe that you did not think there was a "truly random number generator". Later on, you took for granted that random numbers could be generated, for testing by APS. If a "truly" RNG does not exist then how would you be able to get your hands on random numbers?