Here is something like a proof. It seems reasonable (as Joe stated) that a ray of light would never hit a particular number, like 12 for example, on the number line. My extension is that a ray of light would never hit a whole number for the same reason, the odds are zero. Likewise, the ray of light would never hit a number divisible by 6, or by 30, or a number that is the square root of any of these numbers. In fact, the ray of light would never hit any "particular" (constructed?) number because there are infinitely more non particular numbers for it to hit.
> On Nov 25, 2013, at 3:27 PM, Robert Hansen <firstname.lastname@example.org> wrote: > > We know the ray of light will hit a number, I am saying that number will always be transcendental. But don't ask me for a formal proof.:)