Yeah.
So if they wanted to be monists, they would reject their 2D-science and say that while 2D-science apparently seems to be a good approximation of most things, it's only an approximation as apparently reality enables square-escape. They try to look for extensions of 2D science that make sense and are consistent with what they observe about square-escape, but just haven't solved the problem yet.
If they wanted to be dualists, they would say that in one magisterium, 2D science applies. Any non-2D stuff that goes on belongs to that separate, independent magisterium they'll call Xhi, a word which is really just a placeholder for 'the third dimension' until they discover it.
Will the Flatlanders theorize about Xhi? Will they have knowledge of it? Are there facts about Xhi?
The Open Thread posted at the beginning of the month has gotten really, really big, so I've gone ahead and made another one. Post your new discussions here!
This thread is for the discussion of Less Wrong topics that have not appeared in recent posts. If a discussion gets unwieldy, celebrate by turning it into a top-level post.