Does it make sense to say that there are more irrational numbers than rational?
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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.
Arturo Magidin
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In your second sentence, do you mean "more real numbers than there are rationals?" – Jonas Kibelbek Nov 15 '10 at 01:07
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@Jonas Kibelbek: Oops; yes. Thanks – Arturo Magidin Nov 15 '10 at 01:08