On 21 Jan 2013, at 23:14, John Mikes wrote:
Bruno:
"...I have identified, in the comp context, "God" with Arithmetical
Truth,"
does that mean: complying with human logic (any)?
Not really. Arithmetical truth is independent of the humans. "17 would
be prime even if the humans did not exist. This is made explicit by
the comp context. if comp is false it might be different, and you are
free to propose a non comp theory. But once you accept a digital brain
prosthesis and survived, it is only a matter of time and work to
understand that "17 is prime" is not a specifically human truth, but
an universal one.
Just imagine a world (universe) without logically THINKING beings
(humans?) with no math to formulate (numbers, to express): is there
a "God" there?
"God" is "universal truth (that we are searching, or not). With comp,
I would say "yes", there is a God there, as with comp God is
arithmetical truth, and arithmetical truth in true even "in a world
without any math formula". Now if you say that there is no number in
that world, then there will be no "God" in the sense of comp. But I am
not sure I can make sense of the word "world" with or without numbers.
Numbers are not the type of things belonging to world, at least not
with further precision.
May be your question is not precise enough. Feel free to elaborate.
Bruno
http://iridia.ulb.ac.be/~marchal/
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