"Additive identity, multiplicative cancellation, distributive multiplication over addition: pick any two (unless 1 = 0)"
I remarked: Beautiful-scary sig.
It looks suspiciously like "Cheap Fast Quality - Pick two"...
Or is it more pointing to some version of the Godel flaw in Russell?
His reply: Heh, no particular reference in there other than the "cheap fast quality, pick two" you mention.
It was just something I noticed about the relationship between multiplication and addition in an arbitrary ring. At the time, I believe I was trying to define the integers, rationals, reals, and complex numbers as products of unsigned base monoids and various symmetry groups as signs.
It's been a while since I gave it much thought, actually. Probably about time to think of something new.