I take your problem to be “What could the probability of a mathematical proposition be besides its comparative likelihood of proof or disproof?
Except that the example he gives is not a mathematical one, but the question of free will. I have to wonder if the question of free will is not the real subject of the post.
No; free will was the question that got me thinking about it. It seems to me at first glance that the existence of free will could be disproven, but couldn’t be proven. Should that impact my belief in it?
(Short answer: No, because the payoff matrix for believing and not believing in free will is peculiar. But that peculiar case doesn’t affect the question I’m asking here. The free will question itself is not interesting to me.)
Except that the example he gives is not a mathematical one, but the question of free will. I have to wonder if the question of free will is not the real subject of the post.
No; free will was the question that got me thinking about it. It seems to me at first glance that the existence of free will could be disproven, but couldn’t be proven. Should that impact my belief in it?
(Short answer: No, because the payoff matrix for believing and not believing in free will is peculiar. But that peculiar case doesn’t affect the question I’m asking here. The free will question itself is not interesting to me.)