On 23 October 2014 15:29, meekerdb <[email protected]> wrote:

>  On 10/22/2014 7:12 PM, John Clark wrote:
>
>  On Wed, Oct 22, 2014 at 1:30 AM, meekerdb <[email protected]>
>
>  > Quantum mechanics assumes real and complex numbers.
>
>
>  Quantum mechanics works very well, but every time we've tested it
> with experiment the values we put into it and the values we measure after
> the experiment have only had values at best a dozen or so places to the
> right of the decimal point. Are we justified in extrapolating from that
> that it would work just as well if there were a infinite number if digits
> to the right of the decimal point?  I honestly don't know.
>
> I think it's just a convenience for reasoning about rational numbers.  But
> then I also think rational numbers are just part of our model of the world.
>

That isn't too surprising. Anything we can think about is part of a model
of the world.

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