Permalink Submitted by Tavio D'Angelis on September 22, 2017

If I ask whether one real number a is greater than one real number b, I can imagine 'walking' along the real number line from a to b and determining whether i am walking to the left or to the right, intuitively:

## Can the complex numbers be well-ordered?

If I ask whether one real number a is greater than one real number b, I can imagine 'walking' along the real number line from a to b and determining whether i am walking to the left or to the right, intuitively:

if a-b>0 then a>b else a