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.
This is wonderful! Now, all I want from you is that you consider
the idea that "knowledge is not free". There is a cost in resource
utilization (or entropy generation) to gain knowledge. I hope to have a
more coherent formula involving the Blum measure soon.
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