On 13 Feb 2012, at 16:26, Stephen P. King wrote:
On 2/13/2012 9:44 AM, Stephen P. King wrote:
On 2/13/2012 9:16 AM, Richard Ruquist wrote:
RDR: Not sure if this is helpful, but a possible hypothetical
communications model is the 3D 10^90 per cc set Calabi-Yau Compact
Manifolds of string theory that are purported to control all
physical interactions as they each contain the laws of physics;
and collectively they may manifest consciousness as well as
perhaps Platonia and "cyclic gossiping" as their variable
properties across the universe may manifest a Peano arithmetic.
Regarding communication each spherical element/manifold instantly
maps all the other manifolds and all physical phenomena to its
interior. http://vixra.org/abs/1101.0044
--
Hi Richard,
I am highly skeptical of string theory because of its Landscape
problem, the lack of observational evidence of super-partner
particles, the fact that it is not back-ground independent and its
underlying philosophical assumptions. All that aside, I will take a
look at the referenced paper.
Onward!
Stephen
Hi Richard,
I like your paper! I would like to point out something. You quoted
[Chalmers(1995)]:
(1) Assume my reasoning powers are captured by some formal system F
(to put this more briefly, "I am
F"). Consider the class of statements I can know to be true, given
this assumption.
(2) Given that I know that I am F,
No machine can know which machine she is.
I know that F is sound (as I know that I am sound).
No sound machine can know that she is sound.
Indeed, I know that
the larger system F' is sound, where F' is F supplemented by the
further assumption "I am F".
(Supplementing a sound system with a true statement yields a sound
system.)
PA is sound and consistent. But PA + "I am sound", with I = "PA + "I
am sound" (the circularity apparent here can be removded with the "DD"
trick or the recursion theorem of Kleene) is unsound.
(3) So I know that G(F') is true, where this is the Gödel sentence
of the system F'.
(4) But F' could not see that G(F') is true (by Gödel's theorem).
(5) By assumption, however, I am now effectively equivalent to F'.
After all, I am F supplemented by the
knowledge that I am F.
(6) This is a contradiction, so the initial assumption must be
false, and F must not have captured my
powers of reasoning after all.
(7) The conclusion generalizes: my reasoning powers cannot be
captured by any formal system.
This is basically the Lucas-Penrose error. It confuses Bp & p with Bp.
Bp -> p is true for sound machine (obviously) but is not provable by
any sound machine.
Bruno
This reminds me of problematic sentences in logic such as
"Stephen cannot know the truth value of this sentence". While I can
only inconsistently speculated on the truth value of that sentence,
you, not being Stephen, can consistently determine its truth value.
I see this as arguing that truth values are quantities that are
strictly local and not global.
Since I am a HUGE fan of Leibniz, I like the Monad-like quality
that you are considering with the concept of a CYCM, but wonder if
the particular geometric properties are being arbitrarily selected.
It seems to me that any monadic construction will do so long as it
can support a self-referential logic, such as Peano Arithmetic.
Additionally, how do we deal with the apparently bosonic property of
minds given the very fermionic property of matter. Could
supersymmetry really be a theory of the mind-body problem? Some
people, like Matti Pitkanen, think so and I sympathize with this
view. But it still seems to assume too much. Maybe this is just the
price of a theory. ;-)
Onward!
Stephen
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