To be fair, they aren't ordered, which some people consider to be the most essential property of a number. The transfinite numbers, hyperreal numbers, and surr

To be fair, they aren't ordered, which some people consider to be the most essential property of a number. The transfinite numbers, hyperreal numbers, and surreal numbers each have a total ordering -- a transitive antisymmetric relation. But the complex "numbers" do not have this. The "complex field" would be a better name. https://en.m.wikipedia.org/wiki/Surreal_number https://en.m.wikipedia.org/wiki/Surreal_number https://en.m.wikipedia.org/wiki/Transfinite_number https://en.m.wikipedia.org/wiki/Transfinite_number https://en.m.wikipedia.org/wiki/Hyperreal_number https://en.m.wikipedia.org/wiki/Hyperreal_number