> On 22 Jul 2019, at 15:46, John Clark <[email protected]> wrote:
> 
> On Mon, Jul 22, 2019 at 3:54 AM Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> >> a set of quadruplets is not the only or the best way to think about the 
> >> operation of a Turing Machine, you can also think about it physically, 
> >> something that you CAN NOT DO with Lambda Calculus. 
>  
> > On the contrary, if you can interpret the quadruplet in a physical way,
> 
> And you can.
>  
> > then it is even more simple to interpret a lambda expression physically, 
> > with a basic physical substitution.
> 
> Yes you can implement lambda expressions physically but it's not "more 
> simple" because the "basic physical substitution" always comes back to a 
> Turing Machine. Always.


Of course not. The substitution are realise by boolean graph directly. Nobody 
has ver implement anything in a physical implementations of a Turing machine. 
It just that we can see, even a human being (and assuming Mechanism) as a (very 
lose Turing machine, with the paper as tape, a pen as the read instruction, a 
eraser for the erasing instruction, and any distinguishable drawing for the 
alphabet, and all neural configuration of its brain for the machine’s state. I 
can call that a Turing machine when speaking losely in some context, but that 
is not a Turing machine is Turing mathematical definition of it.

Bruno



> 
> That's why computer makers don't put Lambda Calculus textbooks in their 
> machines but instead put in silicon microprocessors that work the way Turing 
> outlined. 
> 
> > Counter-examples; the graph reduction machines, the Lisp Machines, etc.
> 
> Bruno..... I'm pretty sure both graph reduction machines and Lisp Machines 
> used silicon microprocessors, although they've been obsolete for so long it 
> might have been discreet transistors or even vacuum tubes. I don't know about 
> etc Machines, I'm not familiar with them.
>  
> John K Clark
>  
> 
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