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Infinitely many. In fact, there are more Irrational Numbers between 1 and 2 as there are rational numbers - in total.

The cardinality of this set is Aleph-0ne.

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Q: How many irrational numbers are there between 1 and 2?
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Infinitely many. In fact there are more irrational numbers between 1 and 10 than there are rational numbers - in total!


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