On 2020-02-05 13:22:PM, Matt Mahoney wrote or quoted:
Occam's razor also likely applies in toy finite worlds, such as
those modeled by
cellular automata.
I don't think it has much to do with infinity.
Turing machines are useful models of computation even though they
cannot exist in a finite universe.
What do you think is the reason Occam's Razor works, if not math?
Well, math permits worlds not bound by
Occam's razor, such as the world where
all sequences of a given length are
equiprobable. So, the answer is probably
physics. Locality and the speed of light limit,
in particular.
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