SNG,
How can it be shown that any process is truly random?
How can we show the motion of pollen is water is fully deterministic?
To go back to Pole's example in the previous thread about the phone calls coming into a building, clearly there is no randomness at play here at all. The people on the phone are presumably calling for a reason. It only seems random to the occupants of the building because they can't predict the calls. But someone with a comprehensive view of the earth could.
We simply don't know that, dude. There are trillions of factors contributing to a person making a phone call. The trouble is: what if we analyze them all (impossible anyway) and we are faced with the pollen motion problem?
So now we go back to gas molecules bumping around or radioactive decay. Don't we instantly antiquate ourselves as soon as we say these things are unpredictable or causeless? It seems to me that it is a safer bet to assume that they simply have very complex causes that it is not possible for us to predict, at least not in real-time, and that therefore they seem random.
Can you name a single such cause? If no, why do you think your assumption is safer?
I suspect that these things are deterministic, but the universe is already the fastest possible means of calculating future states. So for all practical purposes, they are random for us. Except that they're not. :-)
Assertions and suspicions - that's fine, because you make it clear that you "suspect" things to be that way. But I think the real safe assumption to make is to stick to the duality of the nature of "random" processes.
1) On the one hand we have the concept of randomness. Maximum randomness is like maximun enthropy, meaning total unpredictability.
2) On the other hand you have deterministic cause-effect rules which are specific to particular physical phenomena.
Whe you combine the two concepts, you get probablity distribution functions. My approach (I'm not sure if it's my approach) is nice, because it explains why there are so many different distributions in Nature.
Danny and Elswhere,
Does "real enthropy" "exist"? But you are right the notion of randomness makes a lot of sense in physics (which I know close to nothing about). And you don't need to know this quantum stuff to believe that. I suggest anyone interested should look at:
a) Brownian Motions (the movement of pollen)
b) Maxwell's model of gas molecule movement
c) Smoluchowski's and Einstein's revision of Brownian motions
The story of the notion of randomness in physics begins at the beginning of the 19th century.
Pole