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I would expect that every uncountable [itex]A \subset \mathbb R[/itex] has (at least) one [itex]q \in \mathbb Q[/itex] as a limit point of A. I don't really know how to prove this, though. I have the feeling that it shouldn't be too hard. Can someone get me on the right track?

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# Every uncountable subset of R has a limit point in Q?

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