On 1 June 2015 at 04:38, John Clark <[email protected]> wrote:

> A Turing Machine does assume matter that obeys the laws of physics
>
> It assumes that an infinite tape is available. Which physical laws allow
that?

A Turing Machine is actually an *algorithm* - it isn't a mechanical device,
although one could make a device that (imperfectly) instantiates the
algorithm. (You could also make one of these imperfect instantiators using
a wide variety of physical laws, in theory, just as you can use any symbol
you like to represent a number.) So yes, as material beings, we require
matter to do *anything.* But to say that therefore all abstractions "assume
matter" is either to make a vacuous statement or to assume, as a
metaphysical leap of faith, that primary materialism is true.

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