On 11/8/2012 10:22 AM, Bruno Marchal wrote:
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 Gödel'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
Dear Bruno,
How is it that you can write a wonderful passage (reposted below)
in a poetic tone, dipping down into precision and rigorous detail and I
can understand it and yet if I write in a similar tone, it washes over
you like an solid wave of noise.
The real shock with "modern" comp is that now we know that even heaven
is not perfect. It contains many doors to hell. And vice versa: Hell
contains doors to heaven. The main difference is that it is easy to
find a door to hell in paradise, and it is hard to find a door to
paradise in hell. And there is a large fuzzy frontier between both.
The idea that arithmetical platonia is perfect is a rest of Hilbert's
dream (or nightmare as some call it). With comp even God is not
perfect. "He" is overwhelmed by the Noůs, and then the "universal
soul" put a lot of mess in the whole.
At least we can understand the fall of the soul, and the origin of
matter. Matter is where God lost completely control, and that's why
the Greek Platonists can easily identify matter with evil.
It is the price of Turing universality. The existence of *partial*
computable function, and, with comp, of processes which escapes all
theories. The happy consequences is that, by such phenomena, life and
consciousness resist to normative and reductionist thinking. The
universal machine is born universal dissident.
You demand from your critics far more than you demand of yourself. I
am trying to extend your beautiful work, not to rubbish it or heap
derision on it. Could you be a bit more equanimous
<http://www.thefreedictionary.com/Equanimous> with your interpretations?
--
Onward!
Stephen
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