@dalehileman,
dalehileman wrote:It's just hard to believe that math, being purely an exercise of the humanoid mind, can somehow conclusively validate the concept of freewill.
I don't know what you mean by "validate the concept of freewill", and in any case, nobody has shown anything invalid about the concept. The argument under discussion demonstrates that freely willed actions are not incompatible with mathematical randomness. This is in reply to an assertion that there can be no free will in a nondetermined world. As stated, several times, this claim is false for at least two reasons:
1) a nondetermined world need only include
some randomness and that randomness need only be
mathematical. These are straightforward consequences of the definitions.
2) we can generate the prefix of a real number from freely willed actions, without those actions entailing that prefix, and it is a matter of mathematical proof that the probability of the expansion of a real number being random is one.
So, quite clearly free will is
not incompatible with a nondetermined world.
There is nothing that I've written here which isn't just repetition, if you don't understand it, look things up, because I don't know how to make things simpler than they already are.