On 19 Feb 2013, at 08:03, Jason Resch wrote:
On Mon, Feb 18, 2013 at 3:18 PM, meekerdb <meeke...@verizon.net>
wrote:
On 2/18/2013 11:47 AM, Terren Suydam wrote:
If God is arithmetical truth, then what if anything is there to be
said about its "character"? I know from a formal perspective the
answer is nothing, because nothing formal can be said about truth.
This is more of an informal question, and comes out of my innate
desire to anthropomorphize.
Why would you suppose that your desire to anthropomorphize is
anything other than wishful thinking? Do you also have a desire to
anthropormorphize the periodic table? the solar system? the
infinitesimal calculus?
Within comp, there are many minds that have infinite computations
resources at their disposal. They can evolve forever, and approach
infinite intelligence and knowledge. They all explore the same
mathematical truth and thus having the same data (that of
mathematical truth they explore) together with near infinite
intelligence, they are almost never wrong on any question or
matter. Thus, despite possibly different origins, they are all of a
like mind, opinion, and possibly character. The number of
fundamental questions on which these super intelligence disagree
goes towards zero as their intelligence goes towards infinity.
With infinite computational power, these God-like super
intelligences have the power to save other beings (regardless of
what universe the other being hails from). These God-minds are in a
position to help, and thus responsible for the outcome if they fail
to act. There is much suffering of conscious beings in the physical
universes. With infinite computing power at their disposal, these
super intelligences can determine re-create any conscious being from
the moment of its physical death and ressurect it to a existence of
that being's desires. This is not to say this is what they would
do, but if it is the right decision to make, then nearly all super-
intelligences will agree it is the right thing to do and will do it.
In this sense, there can be a anthropomorphic character to
mathematical truth, which comes into existence an infinite number of
times and ways but in most appearances, behaves similarly to all its
other incarnations.
That's interesting and relate to the reflexion principle, and provide
another answer to Brent. Even if the real "God" is not a person, it
can remains something approachable by machines, but also by infinitely
many entities between machines and arithmetical truth. And many of
them can be proved to be Löbian, and so have a similar "theology" to
the machine's one, except that their Gods are beyond arithmetical
truth. There is no paradox, as it is the same "Skolem principle" at
play (cf some older posts people can find by seraching "skolem" in the
archive).
In fact God is approximated by the knower of truth, like when looking
at the arithmetical truth as the set of beliefs of some entity,
instead as a big book of truth.
"God", that is arithmetical truth, does not belong to arithmetical
truth, and still less to the tiny effective fragment of arithmetic
(isomorphic to the UD*), so, like in Plotinus, God is really "non-
existing", but it is was make things existing, absolutely, like the
numbers and programs, and relatively, like the universal machines and
their dreams.
Bruno
http://iridia.ulb.ac.be/~marchal/
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