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
Roger Clough, rclo...@verizon.net
11/10/2012
"Forever is a long time, especially near the end." -Woody Allen
----- Receiving the following content -----
From: Bruno Marchal
Receiver: everything-list
Time: 2012-11-08, 10:22:14
Subject: Re: Communicability
On 08 Nov 2012, at 14:45, Stephen P. King wrote:
On 11/8/2012 6:43 AM, Roger Clough wrote:
Hi meekerdb
So how does Platonia's perfect necessary classes restrain or
contain this world of contingency ? Or does it ?
Hi Roger,
That is exactly my question! How does Platonism show the
contingent to be necessary? As far as I have found, it cannot show
necessity of the contingent. In the rush to define the perfect, all
means to show the necessity of contingency was thrown out. This is
why I propose that we define existence as necessary possibility; we
have contingency built into our ontology in that definition. ;-)
In which modal logic?
What you say directly contradict G?el's theorem, which shows, at many
different levels the necessity of the possible. We even get that for
all (true) sigma_1 sentences (the "atomic events in the UD execution)
p -> []<>p, that is the truth of p implies the necessity of the
possibility of p, with []p = either the box of the universal soul
(S4Grz1), or the box of the intelligible or sensible matter (Z1* and
X1*). The modal logics becomes well defined, and allows, in Platonia,
all the imperfections that you can dream of (which of course is not
necessarily a good news).
Bruno
Roger Clough, rclo...@verizon.net
11/8/2012
"Forever is a long time, especially near the end." -Woody Allen
----- Receiving the following content -----
From: meekerdb
Receiver: everything-list
Time: 2012-11-07, 13:19:38
Subject: Re: Communicability
On 11/7/2012 5:52 AM, Stephen P. King wrote:
Again: we are still left without an explanation as to how the
accidental coincidence of a Platonic Truth and an actual fact of
the world occurs.
Why do you write 'accidental'? Platonia is our invention to
describe classes of facts by abstracting away particulars.
Brent
--
Onward!
Stephen
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