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Cardinal Number of Countably Infinite Sets

publish date2026/05/23 21:45:35.267406 UTC

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What symbol denotes the cardinality of any countably infinite set (such as \(\mathbb{N}\))?

Correct Answer

\(\aleph_0\) (aleph-null)

Explanation

The symbol \(\aleph_0\) (read aleph-null) denotes the cardinality of any countably infinite set. All countably infinite sets — \(\mathbb{N}\), even numbers, integers \(\mathbb{Z}\), rational numbers \(\mathbb{Q}\) — are equivalent to each other and all have cardinality \(\aleph_0\). The symbol \(c\) is reserved for the cardinality of \(\mathbb{R}\) (uncountable).

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012


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