On 15 Feb 2014, at 18:34, Richard Ruquist wrote:
Isn't quantum mechanics based on the reals?
Yes. Like classical physics. And like, most plausibly the comp-
physics, by the dovetailing on the reals inputs, which might play a
role in the measure stabilization problem. But this has to be
extracted from the semantics of the comp propositional physics (the
two, or three, material hypostases).
Bruno
On Sat, Feb 15, 2014 at 12:20 PM, meekerdb <meeke...@verizon.net>
wrote:
On 2/15/2014 1:38 AM, Bruno Marchal wrote:
You might keep in mind that astonishing truth (deducible from
Matiyasevitch):
- The polynomial on the reals are not Turing universal (you cannot
simulate an exponential with such polynomials)
- the polynomial on the integers are Turing universal, you can
simulate exponential, and indeed all Turing machine with them. You
can simulate the function sending the integers x on
x^(x^(x^(x^...))) x times with a integers polynomial of dgree
four!, but you cannot with any polynomials on the reals.
That is astonishing. Where can I read a proof (without having to
learn too much background)?
Brent
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