The well-ordering principle doesn’t really have any effect on canonical orderings, like that induced by the traditional less-than relation on the real numbers.
This doesn’t affect the truth of your claim, but I do think that DanArmak’s point was quite separate from the language he chose. He might instead have worded it as having no real solution, so that any solution must be not-real.
The well-ordering principle doesn’t really have any effect on canonical orderings, like that induced by the traditional less-than relation on the real numbers.
This doesn’t affect the truth of your claim, but I do think that DanArmak’s point was quite separate from the language he chose. He might instead have worded it as having no real solution, so that any solution must be not-real.