On 6/4/2015 10:33 PM, John Clark wrote:
Bruno Marchal <marc...@ulb.ac.be <mailto:marc...@ulb.ac.be>> wrote:
>> The physical device is far more complex than the algorithm,
astronomically more
complex, so you tell me which is a simplified approximation of which.
> The physical device is no more relevant to the algorithm than any other
universal
system.
Yes, an algorithm is a simplified approximation of the way a real computer works, and in
general good simplified approximations work with a large number of real world situations.
> You can implement the factorial in fortran, and you can implement fortran
in lisp,
and you can implement lisp
Correct again, but whatever language you implement your algorithm in it must be
implemented in matter that obeys the laws of physics because you can't make a
calculation with software alone.
> The level of complexity is not relevant here.
It's very relevant if you want to know what is a simplified approximation of what. And
we both agree that a electronic computer is vastly more complex than it's logical
schematic, so why can we make a working model of the complex thing but not make a
working model of the simple thing when usually it's easier to make a simple thing than a
complex thing? The only answer that comes to mind is that particular simplified
approximation is just too simplified and just too approximate to actually do anything.
That simplification must be missing something important, matter that obeys the laws of
physics.
The trouble with this argument is that the laws of physics are mathematical
abstractions.
Brent
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