On Thu, Oct 23, 2014 at 7:10 PM, meekerdb <[email protected]> wrote:

> They are non-computable by a Turing machine - which is already assumed to
> have unlimited tape and time.  It is likely that in the real world almost
> all integers are not computable too.
>

Any integer can be calculated with a Turing machine that has unlimited tape
and time, and even with a finite tape and finite time good approximations
can be found for the rational numbers and some irrational numbers, even a
few transcendental numbers, but for nearly all real numbers not even
approximations can be calculated, not even with a infinite tape and
infinite time. They're just not computable. And if a mechanical process
like a Turing Machine can't produce them can the Real numbers have anything
to do with physics? I don't claim to have a answer I'm just asking a
question.

  John K Clark

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