To anybody following the Holt thread:
In an offline communication, Eric Charles has pointed out that I misspoke when
I wrote:
"So each mind is a kind of logical engine that generates a slice of the world
in much the same way that a tune is an engine that generates a pattern of
touches on a p
On Wed, Aug 05, 2009 at 10:37:58AM -0600, Nicholas Thompson wrote:
> There is a topologist on the list (at least one) who, I am hoping, will offer
> at least one more definition of manifold. I say hoping, because at present,
> I dont understand why "set" or "metaset" is not a perfectly good def
http://humanmotions.com/index.html
http://www.strangeattractors.eu/
Lorenz84 is particularly lovely
Tory
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One of the Java Car team realized that we had invented podcasting
before Apple did! Here's his webpage:
http://web.me.com/curbow/Podcasting/index.html
-- Owen
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Full article link: http://analyticjournalism.blogharbor.com/blog/_archives/2009/8/5/4279268.html
CUTTING-EDGE TECHNOLOGY - from the FBI?
Thanks to Mike Stucka, who passed this along.
CUTTING-EDGE TECHNOLOGY
New Ways to Analyze Digital Intel
Last week's Science may also be of interest: Reviews by some of the
usual suspects in complex systems and network analysis.. Not so much
SFI, though. Doug White was one contributor, though:
http://www.sciencemag.org/cgi/content/abstract/325/5939/422
Also a brief note on Econophysics:
http
Today's issue of Nature has:
an editorial,
http://www.nature.com/nature/journal/v460/n7256/full/460667a.html, calling
for more development of agent based economic models;
an opinion piece by J Doyne Farmer and Duncan Foley,
http://www.nature.com/nature/journal/v460/n7256/full/460685a.html, calling
Owen brings up an interesting (and important in it's relevance?) question...
Where is your interest? History/Philosophy of Mathematics?
Fascination with words and language? As a component of CAS? As a
core mathematical theme to be mastered, somewhat like the
epsilon/delta concept of the
Hi Nick.
This is an interesting discussion on the concept of Manifolds. But I
sense you have a wider interest than just this one word, right?
My guess is one of the most important books in this field is Spivak's
Calculus on Manifolds. Thus Spivak's interest was in the unification
of ide
q...@aol.com wrote:
Let me add another
inquiry to this - how do we reconcile this notion of manifold with the
idea of self-similarity? If Epping Forest is a manifold, but the leaves
and twigs are not, yet the leaves and twigs have some self-similarity,
is Holt truly thinking in terms of the
Clairborne,
Here is what I think Holt is up to. He is using a model of mathematical
induction for his understanding of mind. Mathematical induction is actually a
form of logical DEduction in which the combination of a principle with a single
case is used to generate a second case, and then a
Of course, it would be unreasonable to expect Holt to conform to the modern
definition of "manifold", as formalized mathematics has changed quite a bit in
the last 100 years. While it is not quite as conceptually elaborate as it could
be, our friend wikipedia has a bit on the history of the term
(h
Let me add another inquiry to this - how do we reconcile this notion of
manifold with the idea of self-similarity? If Epping Forest is a manifold, but
the leaves and twigs are not, yet the leaves and twigs have some
self-similarity, is Holt truly thinking in terms of the mathematical definitio
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