On 11 Nov 2012, at 23:35, Stephen P. King wrote:
On 11/11/2012 10:34 AM, Bruno Marchal wrote:
On 10 Nov 2012, at 12:32, Roger Clough wrote:
Hi Bruno Marchal
Plato says that we all live in a dark cave, seeing only
shadows on the wall, eager to see the light outside.
So there is at least a duality which I call platonia (heaven)
and contingia (earth).
OK. For example with heaven played by the truth of all the
propositions. But earth, with comp, belongs to heaven, or at least
on the path of going back to the one, among many path. The
existence of the paths are necessary, but the memory of the path is
half in heaven, and half in particular contingent geographico-
historical context.
Platonia contains the necessary stuff, the dark cave we live in
contains the contingent stuff.
The dark cave might be the physical universe. It is the border of
the universal mind reality. An object whose mathematics is amenable
to number theory, or computer science.
We cannot experimentally make the difference between a law, or an
instantiation of a deeper law. We cannot separate experimentally
geography and physics, but we can define physics by what gives the
universal prediction by different universal beings, and with comp
this is enough to define a precise indeterminacy domain from which
the universal beings can seen aspects of the universal border.
Comp reopens the debate between Plato and Aristotle. At the least,
it shows that science has not decided this, and it illustrates, by
listening what the machines can already say about them, another
rationalist conception of reality, which gives sense to the
Pythagorean neoplatonist negative theology.
Bruno
Dear Bruno,
This is wonderful! Now, all I want from you is that you consider
the idea that "knowledge is not free".
It is fuzzy, but as far as I can interpret this favorably, I do agree.
There is a cost in resource utilization (or entropy generation) to
gain knowledge.
I can still agree. Then the comp consequence is that the physical
resources are derivable from a notion of arithmetical resource.
I hope to have a more coherent formula involving the Blum measure
soon.
You can consult "Conscience and Mechanism" where I use Blum measure
for the "theory of intelligence". Blum measure is a quite general
notion of arithmetical or computer science theoretical measure indeed.
Bruno
http://iridia.ulb.ac.be/~marchal/
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