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Are the irrational numbers countable?

Emma Johnson | 2023-06-08 22:31:54 | page views：1941
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Harper Roberts

Studied at the University of Barcelona, Lives in Barcelona, Spain.
The set R of all real numbers is the (disjoint) union of the sets of all rational and irrational numbers. We know that R is uncountable, whereas Q is countable. If the set of all irrational numbers were countable, then R would be the union of two countable sets, hence countable.
2023-06-16 22:31:54
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Charlotte Young

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The set R of all real numbers is the (disjoint) union of the sets of all rational and irrational numbers. We know that R is uncountable, whereas Q is countable. If the set of all irrational numbers were countable, then R would be the union of two countable sets, hence countable.
MA 355 Homework 2 solutions #1 Let A,B,C be sets and ... - CMU Math
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