Quote Originally Posted by Evil Knievel View Post
Ok, think of the decisions a lot of people make as free will driven. Then the probabily distribution of their decisions can only be known to the extend to which they are determined by a law ( and reasoning ...). Hence, any free will brings in an not-knowable element to every statistics, that even remains, when an infinite number of decisions has been made.
What exactly do you mean by "not-knowable element"? Suppose I gather lots of data from some kind of hypothetical experiment where agents with a free will make some decision. Now I can plot the result, obtaining a statistical distribution (by definition). If the results are more chaotic, that means the standard deviation from the mean result is greater. But a larger standard deviation still doesn't make for a real "not-knowable element".

So in terms of experimental data, what does this "not-knowable element" look like?