"KP_PC" <k.p.collins at worldnet.att.net> wrote in message
news:MKP7b.134137$0v4.9807738 at bgtnsc04-news.ops.worldnet.att.net...
| "KP_PC" <k.p.collins at worldnet.att.net> wrote in message
| news:ayH7b.136284$3o3.9689257 at bgtnsc05-news.ops.worldnet.att.net...| | "KP_PC" <k.p.collins at worldnet.att.net> wrote in message
| |
news:XLF7b.136177$3o3.9680238 at bgtnsc05-news.ops.worldnet.att.net...
| | | "KP_PC" <k.p.collins at worldnet.att.net> wrote in message
| | |
| news:Wxk7b.132128$0v4.9665867 at bgtnsc04-news.ops.worldnet.att.net...| | | | [...]
| | | |
| | | | --
| | | | "Schmitd! Schmitd! Ve vill build a Shapel!"
| | | |
| | | | "KP_PC" <k.p.collins at worldnet.att.net> wrote in message
| | | |
| |
news:sxZ6b.133485$3o3.9448048 at bgtnsc05-news.ops.worldnet.att.net...
| | | | | "yan king yin" <y.k.y at lycos.com> wrote in message
| | | | | news:72de81ae.0309031548.39b66b2d at posting.google.com...| | | | | | [...]
| | | | | [...]
| | | | What's incorporated in NDT is as it's briefly
| | | | discussed in AoK, Ap6: "Information Calculus",
| | | | which exhibits analogous infinite 'depth', but
| | | | does so while both maintaining information-
| | | | content addressing and direct incorporation
| | | | of the neural Topology.
| | | | [...]
| | |
| | | Again, information-content addressing is
| | | automatically maintained via the rigorous
| | | mapping of "the special topological
| | | homeomorphism of [...] nervous systems"
| | | [AoK, "Short Paper", and the rest] with
| | | respect to external-experiential energy-
| | | dynamics.
| |
| | In other words, the "special topological
| | homeomorphism" is a Fundamental
| | mathematical entity.
| |
| | From the perspective of what's 'familiar'
| | to me, it's =the= Fundamental Mathematical
| | entity - the 'lens' through which all Maths is
| | seen and done, through which Maths is
| | Possible - viewing Maths as 'information-
| | content addressing'.
| |
| | Maths as it's existed comprises selective
| | alternative 'special topological homeo-
| | morphisms' that map highly-selective
| | energy-flow considerations - the infinite
| | ways of doing the one thing that the
| | special topological homeomorphism
| | of nervous systems does automatically.
|| That is, Maths as it's existed is comprised
| of alternative =partial= 'special topological
| homeomorphisms' - compound 'special
| topological homeomorphisms, by virtue of
| the fact that it's constructed upon [within]
| the special topological homeomorphism
| of nervous systems.
| [...]
Before folks in Maths 'buzz' me, the above
statements are easy to Prove.
Nervous systems have input and output
interfaces.
What nervous systems do is, given particular
input-interface activation, converge upon
particular output-interface activation.
Each instance of such constitutes a mapping
that is a Topological Homeomorphism :-]
It's just that simple.
In my prior discussion, I used the term "special"
in the context that's discussed in AoK's "Short
Paper" section - mainly with respect to the
multijectiveness of the homeomorphism [but
also with respect to the complete repetoir of
neural-topological features - i.e. the many
"decussations", "ramp architecture", twists and
turns, level-of-detail variations, etc.] I used the
term "partial" to connote the fact that a TD E/I-
minimized 'state' within the "special topological
homeomorphism of [...] nervous systems" con-
stitutes a strongly-delimited subset of that
whole [that superset].
In doing Maths, the Mathematician is contin-
ually converging upon optimized mappings
between her/his input and output interfaces,
be the one an image of a triangle, a manifold-
thing, a matrix, a physical thing, like an accel-
eration, or etc., and the other symbolization
written by hand upon the back of an envelope
or a chaulkboard, key presses upon a comput-
er's keyboard, vocalization of 'language' in
interaction with Colleagues or Students, etc.
In this way, all Maths is inherently Topology,
be-cause all Maths derives in the functioning
of "special topological homeomorphism of
[...] nervous systems" as it's discussed in AoK,
even if the details of "number crunching" are
off-loaded to a machine.
In the future, machines will be able to do the
primary thing, but only to the degree that the
one way of doing it is recreated and opti-
mized within their machine architecture.
All of this is True be-cause everything Maths
does reduces to the cross-correlating of
energydynamics, with respect to which,
within physical reality, there's only the one
which is the one-way flow of energy from
order to disorder that is what's =described=
by 2nd Thermo [WDB2T].
Maths always 'only' maps one subset of the
WDB2T energydynamics to another subset
of it, as above.
The information-content is in the energy-
dynamics. Nervous systems do Maths
easily be-cause evolutionary dynamics
converged upon a design for nervous sys-
tems that literally grasps the behaviorally-
relevant subset of their host organisms'
external experiential energydynamics,
turn them inside-out, upside-down, and
backward, and achieve TD E/I-minimization
with respect to them, outputting the TD E/I-
minimized 'state' back to the environment,
there, impacting the external experiential
energydynamics either positively or neg-
atively with respect to the prospects for
achieving further TD E/I-minimization.
So, the Topologists can, now, stop
ROFL-ing :-]
All Maths is Topology.
With respect to WDB2T being the one
energydynamic to which everything within
physical reality reduces, I expect some
Physicists are still ROFL-ing, but, if they
meet with me, in person, we'll all get up off
the floor together. I've Verified my surmise
with respect to 'neutrons', which was the
last thing that remained to be integrated
within Tapered Harmony's Unification. [It
should've been done long ago, but I just
didn't realize the need for the doing of it
until recently - my PTOFA with respect to
the traditional view 'blinded' me to the
recognition of the need with respect to
'neutrons'.]
Anyway, for those following the discussion
of the before-and-after-the-invention-of-
radio-type stuff - the pre- and post-learning
behavioral differences - the above Maths
discussion is a good exemplar-metaphor.
What's 'moved away from' before learning
is 'moved toward' after learning. There's an
"affective inversion" [AoK, Ap4] that inter-
venes, as the learning transports one upon
one's "continuum of relative familiarities"
[a;so AoK, Ap4]. There's also the affective-
magnitude variations that correlate to pas-
sage 'through' the "zone of randomness"
[also AoK, Ap4].
Which understanding, to the degree that it
is generally Communicated, is what will
precipitate the analogous "affective inver-
sion" with respect to War, and all other
forms of "man's inhumanity to man".
Learning transforms nervous systems -
re-engineers their neural Topology,
which enables formerly-'impossible'
behavioral manifestations.
An important note: Learning in the absence
of understanding of how nervous systems
process-information does all of this stuff,
but in a 'wild' way. [This note written ex-
pressly to those who view NDT's under-
standing as being 'dangerous'. What's
Dangerous is the prevailing absense of
understanding [the prevailing Ignorance].
It's only in the absence of understanding
with respect to how nervous systems
process-information that nervous systems
remain in the grasp of 'blindly'-automated
TD E/I-minimization, with respect to which
any 'kick-in-the-pants' becomes 'blindly'-
automated 'reason' to 'kick-back'. It's
such nonsensical 'blindly'-automated
reactivity that is Dangerous.]
k. p. collins
