Rob
Heisenberg uncertainty principle implies that if you increase your
accuracy of determining position (fine!), your accuracy to
simultaneously define momentum (or velocity) is reduced (coarse!).
All such conjugate pairs have this property.
Thanks.
Ravi (01)
(Dr. Ravi Sharma) Senior Enterprise Architect (02)
Vangent, Inc. Technology Excellence Center (TEC) (03)
8618 Westwood Center Drive, Suite 310, Vienna VA 22182
(o) 703-827-0638, (c) 313-204-1740 www.vangent.com (04)
-----Original Message-----
From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx
[mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of Rob Freeman
Sent: Thursday, February 07, 2008 8:39 PM
To: [ontolog-forum]
Subject: Re: [ontolog-forum] Axiomatic ontology (05)
On Feb 8, 2008 1:53 AM, Pat Hayes <phayes@xxxxxxx> wrote:
>
> At 2:05 PM +0100 2/7/08, Jakub Kotowski wrote:
> Rob Freeman napsal(a):
> > I probably used the words "not empty" because I had just read
Ramsey's
> > Theorem stated in terms of systems with objects "within" them in
this
> > definition I found on the Web:
> >
> > "No matter how jumbled and chaotic you try to arrange certain
objects,
> > you will find yourself creating a very highly organized and
structured
> > object within it."
> > (http://www.math.uchicago.edu/~mileti/museum/ramsey.html)
> >
> The highly organized objects, they refer to, correspond exactly to
the
> complete subgraphs I was talking about. In this sense perhaps yes -
the
> chaotic are not empty sometimes in a precise sense :)
>
>
> Are you guys using 'chaotic' here in the technical sense from chaos
theory,
> or in some looser sense? Because Ramsey Schmamsey, chaos-theory-type
chaotic
> systems certainly do *exist*. (06)
I don't remember where we questioned the existence of chaotic systems,
Pat. If we did it was probably unintentional. I understood this
exchange with Jakub to be about the information content of chaotic
systems. (07)
Jakub and I were establishing a very precise sense for my gloss that
they were "not empty". (08)
Can you tell us anything about the information content of chaotic
systems? (09)
> ...information theory is all about measuring
> information-bearing capacity. Its like a theory of the volume of
buckets: it
> says nothing about what kind of liquid is actually in the bucket. So
> according to Kolmogoroff theory, a random sequence has maximum
information
> (capacity). True: but the only information it can bear is information
about
> itself. One gets a kind of informational rigidity, where the possible
> content is reduced to zero when the capacity is at a theoretical
maximum. If
> I knew more about QED I might suggest an analogy with Bohr/Heisenberg
> complementarity, but I don't so I won't. (010)
This "informational rigidity" is interesting. Do you have any
references for it? Google gives 13 hits for it. I need better keywords
to find what you mean. (011)
Bohr/Heisenberg if I understand you correctly refers to our inability
to measure some qualities simultaneously. If that is true I also think
it is very relevant. By "informational rigidity" are you saying our
ability to describe all qualities of a system simultaneously (c.f.
momentum and position in a quantum system) is reduced to zero when its
information bearing capacity is at a maximum? (012)
-Rob (013)
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