On Thu, Jan 22, 2015 at 6:51 AM, Jason Resch <[email protected]> wrote:


>
> >> So one of them is true, but can you (or anyone in this universe) prove:
>
>         the 10^(10^(10^100))th decimal digit of pi is 0   ?
>         the 10^(10^(10^100))th decimal digit of pi is 1   ?
>         the 10^(10^(10^100))th decimal digit of pi is 2   ?
>         the 10^(10^(10^100))th decimal digit of pi is 3   ?
>         the 10^(10^(10^100))th decimal digit of pi is 4   ?
>         the 10^(10^(10^100))th decimal digit of pi is 5   ?
>         the 10^(10^(10^100))th decimal digit of pi is 6   ?
>         the 10^(10^(10^100))th decimal digit of pi is 7   ?
>         the 10^(10^(10^100))th decimal digit of pi is 8   ?
>         the 10^(10^(10^100))th decimal digit of pi is 9   ?
>
> >If you answer no to all 10 of those questions, then none of those
> statements is provable by any entity operating within this universe, yet we
> know one of the statements is true.
>

Do we know that? Do we know that such a digit exists? If mathematics is
more fundamental then it does, if physics is more fundamental then it does
not.

> So Pi is a mathematical object with properties that don't depend on the
> physical existence of conceptions/proofs realized by entities or processes
> operating physically.
>

Existence is a property and the existence of that digit may depend on
physical processes, or it might not, we don't know.

> It follows then that if these properties don't depend on physical
> processes of this universe
>

All you're doing is asserting what you're trying to prove.

  John K Clark

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