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Take space. It has to be either finite or infinite, yet neither possibility sits well with our intuitions. When I try to imagine a finite universe, I get Marcel Marceau miming on an invisible wall with his hands. Or, after reading about manifolds in books on physics, I see ants creeping over a sphere, or people trapped in a huge inner tube unaware of all the exposure around them. But in all these cases the volume is stubbornly suspended in a larger space, which shouldn't be there at all, but which my minds eye can't help but peek at.
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