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  • 15-04-2024
  • Mathematics
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The continuum hypothesis (CH) is equivalent to the existence of a set A⊆R² such that Ay and (R∖A)x are both countable for all x,y∈R.
Let A⊆R be as defined in the proposition and suppose that CH fails. Then ℵ1(i) Why well ordering R during the proof?

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