Tim May wrote
(I was struck by the point that the sequence 1, 2, 4, 8 is the only
sequence satisfying certain properties--the only scalars, vectors,
quaternions, octonions there can be--and that the sequence 3, 4, 6,
10, just 2 higher than the first sequence, is closely related to
allowable
Regarding octonions, sedenions and physics
Tony Smith has a huge amount of pertinent ideas on his website, e.g.
http://www.innerx.net/personal/tsmith/QOphys.html
http://www.innerx.net/personal/tsmith/d4d5e6hist.html
His ideas are colorful and speculative, but also deep and interesting.
One
RS wrote on one level how the algorithmic revolution
was epistemological. I objected to this partly. let me
quote the dictionary defn of epistemology
epistemology-- the branch of philosophy that deals with
the nature and theory of knowledge.
now in newtons time, science was seen as a branch of
wolfram at comdex on the universe as software idea etc
http://news.com.com/2100-1040-93.html
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