@Phosphenes @johnpaulflintoff @pluralistic Number systems have properties. In this case multiplication together with addition (which is where negation comes from) form a ring, which has a certain set of those properties. For multiplication of negative numbers to be negative we have to give up at least one of those properties, the really important one of distribution, the one that links addition and multiplication. I'm not sure if what you've got left is very useful in that case (no interesting properties, not a useful model of reality).
D
dearlove@mathstodon.xyz
@dearlove@mathstodon.xyz