What is the cardinality of natural numbers?
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All finite sets are countable and have a finite value for a cardinality. The set of natural numbers is an infinite set, and its cardinality is called (aleph null or aleph naught). Aleph null is a cardinalnumber, and the first cardinal infinity — it can be thought of informally as the "number of natural numbers.
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Because the set of natural numbers and the set of whole numbers can be put into one-to-one correspondence with one another. Therefore they have the same cardinality. The cardinality of the set of natural numbers is defined as the infinite quantity ℵ0. Therefore the cardinality of the set of whole numbers must be ℵ0.
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