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Undergrad Can the Set of Rational Numbers Be Counted? And the Irrational Numbers?
well as far as the first one goes I know that the set of integers Z is a subset of Q and that Z is countable. now I make B as the set of all non-integral rational numbers. if B is countable, then Q is countable because a union of two countable sets is countable. that's my approach, but...- dabdobber
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- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Can the Set of Rational Numbers Be Counted? And the Irrational Numbers?
I need help with this math problem: Show that the set of rational numbers, Q, is countable. and Show that the set of irrational numbers is uncountable.- dabdobber
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- Cardinality Counting
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- Forum: Set Theory, Logic, Probability, Statistics