On Sun, Jul 21, 2019 at 8:46 AM Bruno Marchal <[email protected]> wrote:

> >There is nothing abstract or immaterial about a paper tape and a
>> read/write head, but everything is abstract and immaterial about a
>> sequence of ASCII characters in Lambda calculus.
>
>
> *> Or about Turing quintuplets.*
>

Turing quintuplets are abstract and immaterial, a Turing Machine is not.


> *> You keep confusing a digital machine, its code, its physical
> implementation, …*
>

You keep confusing stuff that can *do* things from stuff that can not. A
sequence of ASCII characters can't *do* anything unless it interacts with a
brain made of matter that obeys the laws of physics, and the exact same
thing is true of digital machine code. Lambda  Calculus and Turing
quintuplets can't *do* anything unless they interact with the physical
brain of a mathematician, but a Turing Machine needs nothing else that is
physical because it is already physical. All by itself a Turing Machine can
simulate Turing quintuplets but Turing quintuplets CAN NOT simulate a
Turing Machine, therefore a Turing Machine is more profound and fundamental
and Turing quintuplets are a superficial way to think about it.

John K Clark

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