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A comment on The Axiom of Choice Is Wrong (2007). Parent comment

Re:The Axiom of Choice Is Wrong (2007) by smilliken on Sunday February 05, 2017 @04:08PM (#13574660)
Nobody has proof, and it's probably unknowable. It could be that we're a discrete system embedded in a continuous system. Or it could be we're in a seemingly continuous system which is actually embedded in a high precision discrete system.

That being said, nature has given us very strong hints at discretization. For example: https://en.m.wikipedia.org/wiki/Planck_length. Because of uncertainty principle, we can't measure distances less than that. In a similar way, time also appears to be discretized, along with energy and mass.

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Re:The Axiom of Choice Is Wrong (2007) by Jweb_Guru on Sunday February 05, 2017 @06:00PM (#13575237)
The fact that we don't know what's going on within the Planck length doesn't demonstrate that spacetime is discretized; I don't even think it strongly indicates it, unless you're already predisposed to think that way. Anyway, that seems to have no bearing on whether the universe is infinite.
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