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Of course people can write and wear whatever they like. I am simply explaining why it smells like crackpottery, since it seems you thought it was only due to th

by j2kun 10y ago

Of course people can write and wear whatever they like. I am simply explaining why it smells like crackpottery, since it seems you thought it was only due to that one sentence. And, for the record, anything aspiring to be a grand unified theory of mathematics has to go far beyond algebra.

westoncb 10y ago
That's fair. In my initial comment I was using the quote as an exemplar of an idea running throughout the article--but my reply was directed more to the three comments implying the author is a crank than to yours in particular. As for the unified theory bit, I agree (you can see this in my previous comment) that Geometric Algebra wouldn't cover all of mathematics.
jacobolus 10y ago
Here, start with these: (1) http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf (2) http://geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf http://geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf (3) http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/ImagNumbersArentReal.pdf http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/Im... (4) https://arxiv.org/pdf/1205.5935v1.pdf https://arxiv.org/pdf/1205.5935v1.pdf (5) http://www2.montgomerycollege.edu/departments/planet/planet/Numerical_Relativity/bookGA.pdf http://www2.montgomerycollege.edu/departments/planet/planet/... This book is also great if you are interested whatsoever in computer modeling of geometry, e.g. for robotics, computer vision, computer graphics, VR, etc. http://www.geometricalgebra.net http://www.geometricalgebra.net The “conformal geometric algebra” model developed there is a really amazing recent idea. If you don’t want to buy a book see the papers at http://geocalc.clas.asu.edu/html/UAFCG.html http://geocalc.clas.asu.edu/html/UAFCG.html or this Ph.D. thesis http://www2.eng.cam.ac.uk/~rjw57/pdf/r_wareham_pdh_thesis.pdf http://www2.eng.cam.ac.uk/~rjw57/pdf/r_wareham_pdh_thesis.pd...

by j2kun 10y ago

westoncb 10y ago

That's fair. In my initial comment I was using the quote as an exemplar of an idea running throughout the article--but my reply was directed more to the three comments implying the author is a crank than to yours in particular. As for the unified theory bit, I agree (you can see this in my previous comment) that Geometric Algebra wouldn't cover all of mathematics.

jacobolus 10y ago

Here, start with these: (1) http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf (2) http://geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf http://geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf (3) http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/ImagNumbersArentReal.pdf http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/Im... (4) https://arxiv.org/pdf/1205.5935v1.pdf https://arxiv.org/pdf/1205.5935v1.pdf (5) http://www2.montgomerycollege.edu/departments/planet/planet/Numerical_Relativity/bookGA.pdf http://www2.montgomerycollege.edu/departments/planet/planet/... This book is also great if you are interested whatsoever in computer modeling of geometry, e.g. for robotics, computer vision, computer graphics, VR, etc. http://www.geometricalgebra.net http://www.geometricalgebra.net The “conformal geometric algebra” model developed there is a really amazing recent idea. If you don’t want to buy a book see the papers at http://geocalc.clas.asu.edu/html/UAFCG.html http://geocalc.clas.asu.edu/html/UAFCG.html or this Ph.D. thesis http://www2.eng.cam.ac.uk/~rjw57/pdf/r_wareham_pdh_thesis.pdf http://www2.eng.cam.ac.uk/~rjw57/pdf/r_wareham_pdh_thesis.pd...