Comment Re:If The Universe Is Finite.... (Score 1) 519
First, I take the definition of "trivial" to mean that "a proof immediately springs to mind". For those with a decent topology background, you are correct. For this thread, however, I think you need to tone the condescension down a little.
Second, R, C, and quaternions are the only examples of *associative* finite dimensional division algebras over the reals, but if you drop the associativity condition you need to include the Octonions, also known as the Cayley algebra.