An infinite set is a set with infinitely many elements. Equivalently, assuming the axiom of choice, it contains a countably infinite set.
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An infinite set is a set that has an unending number of elements. Unlike finite sets, which contain a specific number of elements that can be counted or listed completely, infinite sets cannot be fully enumerated or counted. Infinite sets can be categorized in two main types: 1. **Countably Infinite Sets**: These sets can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...).