Danny,
I guess we basically agree and I'm sorry to be such a pain in the ass again but:
he he he, No I enjoy reading your posts. You make nice statements that make things more clear for me. So far from a pain inthe ass
::random probability functions.
All probability functions are only partly random. In other words they are all affected to some extent by arbitrary deterministic tendencies. If these functions were "truly" representing the ultimate nature of randomness (whatever this might be?) there wouldn't be so many of them. The term "random functions" is confusing. Admit that and I'll shut up. ;-)
I admit. We speak normally about probability functions in quantum physics. (or wave fucntions). I should not have used the word random there.
For example: you can not say that a electron is at a certain position, you can only speak about a chance that he is. That chance is the probability function. The change on different positions is not equal, it is a normal distribution. When the electron is measured it's position is known exactly, but it interacts. It is called the collapse of the wave function.
Can it not be that there is no underlying deterministic process, but that this describes something real random. That the position of the electron when measured is really random without cause?
This is thought to be the case, and yes the follow a certain function.
Danny