On Wednesday, March 25, 2020 at 4:57:41 AM UTC-5, Bruno Marchal wrote:
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> With Mechanism, a priori, nature does not compute at all, but emerge from
> a non computable sum on all computations (in the relative way). This must
> be “observable” when we look below our substitution level. That this sum
> can be Turing universal can be explained, but is still astonishing.
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> Bruno
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> Mathematical logicians like Hamkins have gone beyond Gödel and Cohen:
There is a "multiverse" of mathematical "truths" - in effect, there are
machines at different computing levels ("Turing jumps") that return *different
results* (different answers to questions).
What nature does relative to this mathematics - who knows.
(If nature is finite - composed of a finite number of "states" - then it
would obviously be computable -since then nature could be modeled - at
least stochastically - by a finite collection of lookup probability
tables.)
@philipthrift
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