Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of Irrational Numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
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Infinity is not a number. There are different classes of infinity: The sets of natural numbers, integers, rational numbers all belong to the smallest class, with a cardinality of Aleph-null. The sets of irrational numbers and real numbers belong to the next higher level of infinity, with cardinality Aleph-One. Infinity can give rise to a very large number of apparent paradoxes - infinitely many of them?
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stars in the sky that's the some example of infinite sets