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Definition of an Infinite Set
publish date: 2026/05/23 21:45:33.643482 UTC
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The simplest (first) definition of an infinite set is:
Correct Answer
A set that is not finite — counting its elements never ends
Explanation
The first definition is negative: a set is infinite if it is not finite. Equivalently, the process of counting its elements is endless — we can always find another element. A deeper, positive definition comes later (Section 2.19): an infinite set is one that is equivalent to one of its own proper subsets — something no finite set can do.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012