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## Main Question or Discussion Point

If I have an [itex] \aleph_0 [/itex] number of axioms, does that put a limit on the number of theorems I can have about the real numbers.

The number of theorems that we could have is countable. I was just wondering what we might be able to say about how much we could know about math.

The number of theorems that we could have is countable. I was just wondering what we might be able to say about how much we could know about math.