On 3/14/07, Torgny Tholerus <torgny.domain.name.hidden> wrote:
>
> Stathis Papaioannou skrev:
>
> On 3/13/07, Mohsen Ravanbakhsh <ravanbakhsh.domain.name.hidden> wrote:
>
> > *Not necessarily. If you draw a diagonal on a square on a computer
> > screen, it will be made up of a discrete number of pixels despite what
> > Pythagoras' theorem calculates. Irrational in the real world may just be an
> > illusion. *
> > I was trying to mark a distance in real world which is irrational
> > according to a rational unit(Width of pixels), and for such diagonal the
> > distance is an irrational number, although it might be made up of rational
> > numbers of another irrational unit (diagonal pixels)
> > I mean there's some irrational distance out there!
> >
>
> How can you be sure? Maybe space is discrete.
>
> Yes, space (and time) is discrete. Everything in the universe is finite,
> and the universe itself is finite. Infinity is a logically impossible
> concept.
>
I don't see that "discrete" and "finite" necessarily go together. The
integers are discrete, but not finite.
Stathis Papaioannou
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Received on Wed Mar 14 2007 - 05:49:27 PDT