> On 13 Jun 2019, at 19:54, Philip Thrift <[email protected]> wrote:
> 
> 
> 
> On Thursday, June 13, 2019 at 8:53:40 AM UTC-5, Bruno Marchal wrote:
> 
> "Most theories in science are implicitly second order theory, which, unless 
> restricted in some way, are usually not “Turing decidable” or “Turing 
> emulable".
> 
> 
> 
> What current scientific theory is not Turing-emulable?

Arithmetic (the set of true sentences), or just second order arithmetic. 
Machine can do that, but not in an algorithmic way, like us. 



> Everything I know of what computational physicists, chemists, biologists do 
> they do with standard programming (FORTRAN, C, Python, ...) on conventional 
> computers. They simulate the dozens of different black hole theories on 
> supercomputers. They make simulations of critters (OpenWorm).

Simulation is not emulation. You cannot simulate the observation of the spin of 
an electron, due to the “exact randomness” of QM, but of course, you can 
approximate it with some pseudo-random algorithm, or recover the experience of 
indeterminacy by emulating yourself in some self-duplication. No, if the 
recovering is on all computations, that becomes impossible to do.



> 
> Current theories of science (actually written down in articles in TeX:Math) 
> are all Turing-emulable, as far as I know. They are all "replicated" in 
> programs on conventional computers.

You cannot simulate the arithmetical reality. We can simulate the quantum 
computation with a Turing machine, but we cannot emulate any physical process, 
baceuse with mechanism, that would require being able to emulate the entire 
universal dovetailing at each step of the execution. This comes from the first 
person indeterminacy on all computations.

Bruno


> 
> @philipthrift
> 
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