How to pronounce “well ordering” in English

The only way he could prove everyone wrong was by well ordering the real numbers, but he couldn't find a starting point, literally.

In his next book, he published his well ordering theorem.

but then when, but people were very suspicious of the well-order theorem because no one could imagine a well ordering, say, of the real numbers.

This is not how we're used to counting, but both of these options fit the definition of a well ordering.

There, Julius König, a respected professor from Budapest, announced he had proof that Cantor's well ordering theorem was wrong.

A billion could come before 0.2, but with this process, we can prove that a well ordering exists.

the Zermelo set theory and gave the proof that in that theory, you can prove that every set admits a well ordering.