[jojobas]

Negative, irrational and transcendental numbers are all on the same number line.

Getting out into a plane (and losing something as important as the order relation) is radically different from figuring out what other numbers are on a line.

[whatshisface]

Order relations don't appear in QM.

[jojobas]

They do, a lot, just not about wave-function amplitudes.

[whatshisface]

They don't appear in the mechanics, they appear in the things we say about the mechanics.