Posted: Oct 21, 2016 5:06 pm
by Shrunk
scott1328 wrote:
Shrunk wrote:
scott1328 wrote:Thirteen billion years ago space was probably so compact that Pythagoras probably didn't apply.


But, even if so, two dimensional right angle triangles could still exist as abstract concepts, even if they couldn't actually exist in physical space. No?

In exactly the same way that hypercubes exist.


Yes. "Wortfish" would have us believe that we cannot say anything about hypercubes, because we exist in space that is only 3 dimensional. That will come as a surprise to mathematicians, I expect.