Hi Matthew, yes, your correction in [#9](https://forum.azimuthproject.org/discussion/comment/18078/#Comment_18078)

makes sense!

But actually I did not mean \\(x \preceq y \iff |x| \leq |y|\\); I just meant instead a comparison between moduli only, as well as between imaginary and real parts separately. Also, we should not identify numbers that have the same magnitude, as Jonathan pointed out. If we do, we get an equivalence class of numbers, as Keith suggested. Thank you all for such an insightful exchange of ideas :)

makes sense!

But actually I did not mean \\(x \preceq y \iff |x| \leq |y|\\); I just meant instead a comparison between moduli only, as well as between imaginary and real parts separately. Also, we should not identify numbers that have the same magnitude, as Jonathan pointed out. If we do, we get an equivalence class of numbers, as Keith suggested. Thank you all for such an insightful exchange of ideas :)