Does it make sense to say that there are more irrational numbers than rational?
Are there many more irrational numbers than rational?
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number-theory
1 Answers
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Yes, in the sense of cardinality. In the same sense that one can say that there are more real numbers than there are rationals (or integers; or natural numbers).
The rational numbers are countable, but the irrationals are uncountable.
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0In your second sentence, do you mean "more real numbers than there are rationals?" – 2010-11-15
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0@Jonas Kibelbek: Oops; yes. Thanks – 2010-11-15