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I guess if it were purporting to be a text book rather than a blog post, these would be issues. As it stands, he's just someone on the internet sharing his thoughts.

I'm not sure what you mean by 'precociousness' there, since I imagine you're not attempting to compliment the author—but he's hardly alone in considering Geometric Algebra to be a kind of foundation/'unified theory' for large swaths of mathematics.

The other critiques seem mostly along the lines of, "he doesn't dress like us", which, while maybe a little off-putting to the in-crowd, shouldn't earn him an automatic dismissal or derogation.




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.


Here, start with these: (1) http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf (2) http://geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf (3) http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/Im... (4) https://arxiv.org/pdf/1205.5935v1.pdf (5) 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 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 or this Ph.D. thesis http://www2.eng.cam.ac.uk/~rjw57/pdf/r_wareham_pdh_thesis.pd...


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.




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