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Is Every Finite Set Countable?
publish date: 2026/05/23 21:45:34.727878 UTC
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True or False: Every finite set is countable.
Correct Answer
True
Explanation
True. A finite set \(S \sim \{1, 2, ..., n\}\) for some \(n\), and \(\{1, 2, ..., n\}\) is itself a subset of \(\mathbb{N}\). So by the definition of countable (equivalent to a subset of positive integers), every finite set is countable. Countability thus includes both finite and countably infinite sets.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012