On 3/13/07, Mohsen Ravanbakhsh <ravanbakhsh.domain.name.hidden> wrote:
*Why? "Mathematical" means nothing but not self-contradictory. Sherlock
> Holmes stories are mathematical. That doesn't mean Sherlock Holmes exists
> in some Platonic realm.
> *
>
> Brent,
>
> What do you mean by that? I do not get your point.
> Anyway I do not insist that it should be realizable. But I have examples
> in which we need them!
> Consider the use of Pythagoras theorem in nature. There are many cases in
> which the distance between two points should be irrational.
>
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.
Stathis Papaioannou
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Received on Tue Mar 13 2007 - 05:19:37 PDT