On Wed, Feb 5, 2020, 7:08 AM TimTyler <[email protected]> wrote:

> On 2020-02-03 13:38:PM, Matt Mahoney wrote:
>
> > Why does Occam's Razor exist? Because you can't have a uniform
> > distribution over an infinite set. All possible distributions favor
> > short strings over long, or small integers over large. For any string,
> > you have an infinite set of longer and less likely strings and a
> > finite set of the other 3 possibilities.
>
>
> I don't think that can be the reason. There's no evidence that anything
> infinite exists.
>
> What we can see is finite in space and time. A claim that invokes
> infinity is surely
>
> on shaky ground, because of assuming something infinite without
> evidence. 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?


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