@dalehileman,
dalehileman wrote:Thank you Tomr for that rundown.
Tomr has misinformed you, because he doesn't understand the construction.
dalehileman wrote:1. That absolute randomness is even possible. My Intuition says it might well be, and in fact everyday life almost has to assume that it is, but that doesn't by any means substantiate it
Mathematical randomness, as used in my demonstration, is defined in terms of computability. I explicated this earlier.
dalehileman wrote:2. That randomness conflicts with determinism. My Intuition suggests that even if occasional instances of AR do occur, that wouldn't in any way imply the validity of freewill
There can be no mathematical randomness in a determined world. This follows immediately from the definitions. But, naturally, the falsity of determinism doesn't imply the reality of free will.
dalehileman wrote:3.
Quote:The odds of that number being random is defined to be 100%,
By whom
It's not defined to be 100%, it is a proof of classical mathematics that the probability of the expansion of a real number being computable, is zero. So the probability of it being random, is one. This too has been stated several times.
dalehileman wrote:4. Ogh's input much as I admire his determination (no pun intended), seems to afford a special place for the humanoid, a violation of the general principle that nothing is entirely anything while everything is partly something
Nonsense. Any agent that makes and enacts conscious choices from amongst realisable alternatives, has free will,
by definition. That includes insects, plants, slime-moulds, computers, whatever, if it meets the definition, then it meets the definition, obviously!
dalehileman wrote:So any further response, please take my condition into account if you think there's any hope for me, at all
If you don't understand the terms, how the arguments work, etc, look things up. You have an extraordinary resource right in front of you, the internet. I suggest you take advantage.