On 17 Oct 2012, at 15:28, Stephen P. King wrote:
On 10/17/2012 8:45 AM, Bruno Marchal wrote:
On 16 Oct 2012, at 15:00, Stephen P. King wrote:
On 10/16/2012 8:23 AM, Craig Weinberg wrote:
On Tuesday, October 16, 2012 4:02:44 AM UTC-4, stathisp wrote:
There is of course the idea that the universe is actually a
simulation but that is more controversial.
A tempting idea until we question what it is a simulation of?
We can close this by considering when is a simulation of a
"real thing" indistinguishable from the "real thing"!
What law states that computations exist ab initio, but the
capacity to experience and participate in a simulated world does
not?
Good point! Why not both existing ab initio?
But they exists ab initio in the arithmetical truth. So with comp,
we can postulate only the numbers, or the computations (they are
ontologically equivalent), then consciousness is semantical fixed
point, existing for arithmetical reason, yet not describable in
direct arithmetical term (like truth, by Tarski, or knowledge by
Scott-Montague. The Theaetetical "Bp & p" is very appealing in that
setting, as it is not arithmetically definable, yet makes sense in
purely arithmetical term for each p in the language of the machine
(arithmetic, say).
So we don't have to postulate consciousness to explain why machine
will correctly believe in, and develop discourse about, some truth
that they can know, and that they can also know them to be non
justifiable, non sharable, and possibly invariant for digital self-
transformation, etc.
Bruno
Hi Bruno,
We seem to have a fundamental disagreement on what constitutes
"arithmetic truth". In my thinking, the truth value of a proposition
is not separable from the ability to evaluate the proposition
I agree for mundane truth, but not for the truth we can accept to
built a fundamental theory.
If you accept comp, you know that the ability to evaluate a
proposition will be explained in term of a functioning machine, and
this is build on elementary arithmetical truth. So, with comp, you
statement would make comp circular.
Bruno
(as Jaakko Hintikka considers) and thus is not some Platonic form
that has some ontological weight in an eternal "pre-established
harmony" way. I do not believe that our reality is merely some pre-
defined program since I am claiming that the "pre-definition" is an
NP-Hard problem that must be solved prior to its use.
The best fit for me is an infinity of 1p, each that is a bundle
of infinite computations, that eternally interact with each other
(via bisimulation) and not some frozen and pre-existing Being. My
philosophy is based on that of Heraclitus and not that of
Parmenides. Being is defined in my thinking as the automorphisms
within Becoming, thus what is stable and fixed is just those things
that relatively do not change within an eternally evolving Universe.
--
Onward!
Stephen
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