How do these morons:

IIRC, they believe the earth is a flat disc

...with the North Pole at the center of the disc. When you travel west you're actually tracing a circle whose center is the North Pole.

Yes, like the UN flag. They believe Antarctica is a ring...

Around the edge of the disk. Not sure how they explain different time zones. On their earth wouldn't the sun rise and set at the same time everywhere?

In their world the sun would never set

But that haven't thought it through that much.

The sun is like a flashlight

The beam is only wide enough to cover a certain amount of the planet at once

That won't do it

The sun doesn't just disappear high in the sky every day. It goes below the horizon.

I’ll go ask Terry Pratchett

Just gotta find my ouija board first

GNU Terry Pratchett *

Well, I gues no one could go south far enough before running

into Antarctica. They just got stuck in the ice, or the penguins mugged them. Maybe that's why they are going there. These people are as ingenious as they are creative.

Actually that's one thing they can explain

As long as "West" is conveniently defined.

North or South would present a problem. However, if they were standing in front of me I would still not put that question to these folks.