Permalink Submitted by warren wolfe on February 13, 2018

No, they can't. You can order their magnitudes, real parts, imaginary parts and angles, but you can't order the numbers themselves. For example, is 3 + 4i greater than equal to or less than 4 + 3i?

## Can the complex numbers be well-ordered?

No, they can't. You can order their magnitudes, real parts, imaginary parts and angles, but you can't order the numbers themselves. For example, is 3 + 4i greater than equal to or less than 4 + 3i?