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Red and blue integers: there is red 1, red 2, ... 0, blue 1, blue 2, ... . Addition and subtraction as you expect. There is no ordering, also no multiplicative structure. There are 2 isomorphism into the additive structure of the integers. (Red and blue reals are defined similarly.)

I find this structure to model charge better. If not for else, at least it prevents you to ask silly questions about charge.



So you mean red like warm water and blue like colder? Warm is + and cold is -.




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