On 05 Jan 2014, at 13:41, Edgar L. Owen wrote:
You say of the present moment "Yes, it's not a clock time." I agree,
then what is the present moment if it isn't a clock time?
It is the set of computational states on which a first person is
associated as a sort of "hero" in some histories, corresponding to the
most probable relative computations or universal neighbors.
It is an indexical: each states supporting that "hero story" is
handled "indexically", by itself, through self-reference and encodings
of that local "past(s)" and "future(s)" possible with respect to
approximate representations of the universal neighbors.
'Present, 'me, 'here, 'now, 'actual, like 'yesterday and
'tomorrow, ... are indexicals, and can be handled relative to
universal numbers ("programming languages", "interpreters") with a
simple diagonal method (If Dx produce 'xx', DD produces 'DD').
The first person knowledge can be defined by the true believing,
making it undefinable by itself, and linking it to a temporal logic of
God created the Natural Numbers, all the rest belong to the Numbers
Dreams, emulated by the additive and multiplicative number structure.
Some dreams cohere in shared "video games", if you want, which can
have very long and deep histories. Some dream are true, or have true
component relatively to the more probable universal neighbors.
Machines and numbers, from their points of view, are confronted to the
Machine's or Numbers' dream are lawful, and consciousness, or the
belief in a reality, is eventually guided or differentiated by truth
and relative consistencies. (And thanks to computer science those
terms needs only the Tarski notion of truth for the arithmetical
propositions, which assumes not much).
I think this is in the spirit of the cautious relativists like
Galilee, Einstein, Everett, or Boscovitch, and Rössler, all the
genuine monist, I would say.
This does not solve all problems, but has been used to transform the
mind-body problem into a "belief in bodies" problem in pure
arithmetic, and we have already the tools to interview, in some
literal sense, Löbian machine (universal numbers who know that they
are universal, in some weak sense) on that very question. That's
enough to derive a proposition 'theology, including the propositional
'physics (which appears quantum like).
After Gödel 1931, we understand that the Arithmetical Reality is far
richer and intricate than we thought before. We can understand that
all numbers can understand that too, and even test it, making comp (+
classical definitions of knowledge, belief) falsifiable.
It remains to extract the linearity and tensor structure we can
suspect at the core physical bottom.
But you need some math to grasp the real thing here. I can explain
more if interested. You can find the paper and thesis in my url, also.
Or you can read this list, if it was not an infinite task ...
The present moment is only a "true" moment (its relative existence is
satisfied by arithmetic) with the ability to refer to itself, more or
(Its logic is captured by some formula due to Grzegorczyk).
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