Re: Well Ordering the Reals

On Wed, 23 Nov 2005 21:53:11 +0000, Robert Low <mtx014@xxxxxxxxxxxxxx> said:
> Chris Menzel wrote:
>> Frankly, I've never found B-T particularly troubling. Seems to me it
>> becomes "paradoxical" only if we assume that physical objects have all
>> the properties of their usual mathematical representations (notably,
>> infinite density).
>
> By which I assume you mean being a genuine continuum, rather than
> having infinite mass in a finite region.

Well, yes, I was speaking about mathematical rather than physical
properties, though I did indeed mean (mathematical) density (i.e.,
between any two points is another), which of course is not as strong as
continuity -- though continuity would have served just as well to make
the point.

.