Are real numbers countable?
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Proposition: The set P(N) is not countable; i.e. it is uncountable. For an elaboration of this result see Cantor's diagonal argument. The set of real numbers is uncountable (see Cantor's first uncountability proof), and so is the set of all infinite sequences of natural numbers.
2023-06-17 22:39:57
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Benjamin Martin
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Proposition: The set P(N) is not countable; i.e. it is uncountable. For an elaboration of this result see Cantor's diagonal argument. The set of real numbers is uncountable (see Cantor's first uncountability proof), and so is the set of all infinite sequences of natural numbers.