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There are countably infinite rational numbers. That is, it is possible to map each rational number to an integer so that the set has the same number of elements as all integers. This is the lowest order or infinity, Aleph-null.

The number of irrationals is a higher order of infinity: 2^(Aleph-null). This is denoted by C, for continuum.

There are no orders of infinity between Aleph-null and C.

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Q: What is the thinking about The density of numbers on the number line of rational and irrational number?
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