Re: [FRIAM] Complex Numbers .. the end of the line?

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 intima

Re: [FRIAM] Complex Numbers .. the end of the line?

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 al

Re: [FRIAM] Sustainable Model

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,

[FRIAM] Sustainable Model

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 lectures, archives, unsubscribe, maps at http://www

Re: [FRIAM] Complex Numbers .. the end of the line?

This is *way *outside my area of competence -- to the extent that I still have one -- but I remember reading about Conway's Surreal numbers, which may be of interest. *-- Russ* On Tue, Jan 24, 2012 at 10:21 AM, Joshua Thorp wrote: > Thanks Roger, in

Re: [FRIAM] Complex Numbers .. the end of the line?

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: > http://geocalc.clas.asu.edu/pdf/OerstedMedalLectur

Re: [FRIAM] Complex Numbers .. the end of the line?

Differential forms are (covariant) tensors. That is they are multi-linear functionals defined on n-tuples of vectors. I wonder if tensor analysis provides a framework for many of the mathematical concepts discussed in this thread. Frank --- Frank C. Wimberly 140 Calle Ojo Feliz Santa Fe, NM 8750

Re: [FRIAM] Complex Numbers .. the end of the line?

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 mu

Re: [FRIAM] Complex Numbers .. the end of the line?

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 t

Re: [FRIAM] Complex Numbers .. the end of the line?

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 Alge