Formal Statement
In the formal language of the Zermelo–Fraenkel axioms, the axiom reads:
In words, there is a set I (the set which is postulated to be infinite), such that the empty set is in I and such that whenever any x is a member of I, the set formed by taking the union of x with its singleton {x} is also a member of I. Such a set is sometimes called an inductive set.
Read more about this topic: Inductive Set (axiom Of Infinity)
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