On Nov 26, 2013, at 1:38 PM, Joe Niederberger <firstname.lastname@example.org> wrote:
> I think if you model a light ray as a 1 dimensional line, > that its just an approximation good for some purposes and not for others. Likewise, number lines and points and infinitely sharp darts makes a nice mental image, but the absurd result that says the dart does hit a particular point, but that it has zero % chance of hitting any point in particular, tells you something is not quite right with that picture. Probability is an area of mathematics where the difference between models, physics, and math is often murky, though I don't think it has to be.
We are using the ray of light more like a metaphor. In the end, all we are doing is selecting a number by an entirely random and natural process. In that context, I think the use of probability is valid. That doesn't mean the execution of the argument is valid though. I am still thinking that through.