On 7/21/2012 7:57 AM, Bruno Marchal wrote:
Hi Stephen,
I appreciate very much Louis Kauffman, including that paper. But I
don't see your point. Nothing there seems to cast any problem for comp
or its consequences.
Why not read the MGA threads directly, and address the points
specifically?
I already did. My contention is that computational universality is
NOT the separation of computations from physical systems, it is the
independence of a given computation from any one particular physical
systems. The former Seperation is categorical in that one has seperate
categories with no connection between them whatsoever. The latter is a
duality between a pair of categories in that for the class of equivalent
computations there is at least one physical system that can implement it
and for a class of equivalent physical systems there is at least one
computation that can simulate it. (Equivalent between physical systems
is defined mathematically in terms of homologies such as
diffeomorphisms) This idea was first pointed out by Leibniz and known as
Leibniz equivalence. See
http://plato.stanford.edu/entries/spacetime-holearg/Leibniz_Equivalence.html
Bruno
Le 20-juil.-12, à 05:34, Stephen P. King a écrit :
Hi Bruno and Friends,
Perhaps this attached paper by Louis H. Kauffman will be a bit
enlightening as to what I have been trying to explain. He calls it
non-duality, I call it duality. The difference is just a matter of
how one thinks of it.
Onward!
Stephen
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<Laws of Form and the Logic of Non-Duality.pdf>
http://iridia.ulb.ac.be/~marchal/
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Onward!
Stephen
"Nature, to be commanded, must be obeyed."
~ Francis Bacon
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