> On 31 Jul 2019, at 16:32, John Clark <[email protected]> wrote:
> 
> 
> On Tue, Jul 30, 2019 at 11:31 AM Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> >> definitions can't compute, not even official definitions. Only physical 
> >> machines can compute. and yet about every third word in your posts about 
> >> the nature of computing is "definition", "theory" or "proof" even though 
> >> none of those things can compute.
> 
> > But I did try to explain you that you are confusing “definition”, “theory”” 
> > or “proof”, which are syntactical finite object with what they represent 
> > (in the intended model).
> 
> It would not matter even if I did confuse them because "the intended model" 
> can't compute any better than “definition”, “theory”” or “proof” can.


In what sense a “model” would not compute? In what sense the model of 
arithmetic would compute less than a physical universe. Both are example of 
some reality making all propositions describing a computation true.

You beg the question by assuming that the physical reality is primitive, or 
“more real” than the arithmetical reality, but we need the second to define 
what is a machine.



> Only a Physical Turing Machine can make a calculation that is NOT a 
> metaphysical phantom calculation and can actually *do* things, like mine 
> Bitcoins.


In serious theology you need to not invoke your metaphysical assumption.





> 
> > To sum up, “2+2=4” does not compute, but the fact that 2 + 2 = 4 is true,
> 
> True? Without computation "2+2=4 is true" would not be a fact

That is a bit ridiculous. The arithmetical truth has been discovered and 
studied since Pythagorus (of before), but the notion of computation is a recent 
discoveries, and the fact that 2+2=4 is independent of the notion of 
computation (beside the fact that it will entails the existence of 
computations).





> and it would be neither true or false, it would be meaningless gibberish; and 
> only a Physical Turing Machine can make a calculation. 

The use of gibberish shows that you are still confusing a true fact (the fact 
that the sum of two with two is four) and an expression of that fact, like 
“2+2=4”.




>  
> >> Models can't compute.
>  
> > It provides the meaning of “compute”,
> 
> Turing Machines give meaning to "compute" and they can do something FAR more 
> profound than give a definition, they can provide an example.

No, more, no less than anything denoted by a syntactical term in a 
Turing-complete theory.

You remind me that you have not answer my question in your comments.




>  
> 
> > The standard model of Arithmetic implements all computations, in the 
> > precise (and purely mathematical) sense of implementation.
> 
> And ANY purely mathematical implementation of computation can only produce 
> phantom metaphysical calculations that are worthless because they can *do" 
> precisely NOTHING.


If the “phantom” computation, that is, the person supported by some 
arithmetical computation, are not conscious, you need to explain the role of 
your primitive-ontological matter in consciousness.

I don’t think you can succeed, because either that matter role is ...

1) ...not Turing emulable, and in that case you have to abandon 
Computationalisme, or 

2)  … is Turing emulable, but then that role  is emulated in the arithmetical 
reality, and the “phantom computation” is conscious.

Bruno











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