[extropy-chat] Role of Observer is not Relevant

[Jef Allbright]

On 4/2/07, John K Clark <jonkc at att.net> wrote:
> "A B" <austriaaugust at yahoo.com> Wrote:
>
> > Isn't it already mathematically established that any
> > number (for example: 9) is inherently a calculation.
>
> A very very few rare numbers (only the smallest form of infinity) such at 9
> are easily calculable. But there are numbers such as PI that are far more
> numerous (a larger infinity) that can only be calculated if you are willing
> to do an infinite number of calculations.
>
> But that's still not big enough, most numbers, nearly all in fact, can't be
> calculated at all, not even if you had infinite time at your disposal.

Amplifying John's point here, if you were to imagine throwing a dart
at a perfect number line representing the range from 0 to 1, you would
have zero chance of exactly hitting a rational number.

- Jef