On Jan 23, 2012, at 5:38 PM, Owen Densmore wrote:
The obvious question is what next? I.e. if we look at complex numbers at
2-tuples with a peculiar algebra, shouldn't we expect 3-tuples and more that
are needed for operations beyond polynomial equations?
The Fundamental Theorem of Algebra
Arlo:
...Would it not be better to say, are there number(data?)-structures that
provide for interesting algebras not yet considered?
Yes indeed. I was fumbling for a way to say that but ran out of steam!
Roger Critchlow:
http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf
Now that is
This link to an Oersted Medal talk is indeed of great interest. The
author, the theoretical physicist David Hestenes, built on the
foundation laid by mathematicians in the 19th century and in an
important sense completed their work on what is called Geometric
Algebra, a framework which unifies
Thanks Roger, interesting paper.
I have always been fascinated at the relationship between the language of a
mathematics and corresponding science that can be described with it.
--joshua
On Jan 23, 2012, at 11:43 PM, Roger Critchlow wrote:
This is *way *outside my area of competence -- to the extent that I still
have one -- but I remember reading about Conway's Surreal
numbershttp://en.wikipedia.org/wiki/Surreal_number,
which may be of interest.
*-- Russ*
On Tue, Jan 24, 2012 at 10:21 AM, Joshua Thorp jth...@redfish.com wrote:
See http://xkcd.com/1007/
Does your model have this problem? How would you know?
Robert C
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
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Sustainable,
Sustainable sustainable sustainable, sustainable sustainable.
Greg Sonnenfeld
“The scientists of today think deeply instead of clearly. One must be
sane to think clearly, but one can think deeply and be quite insane.”
On Tue, Jan 24, 2012 at 3:25 PM,
This is a message from Dean Gerber. For some reason it didn't reach the
List when he sent it. I forward it at his request. I will certainly attend
the lecture he offers.
Algebras
Owen--
I think what you are looking for is the theory of algebras, generally
known as non-associative
With only an intuitive, skating on soap bubble films, grasp, I still
enjoyed reading all these posts -- look forward to some kind of
computer interactive game learning process to convey the widest most
comprehensive framework to unify all these partial frameworks -- I
suspect it will have to
