volume_mute
Cardinal Number of Countably Infinite Sets
publish date: 2026/05/23 21:45:35.267406 UTC
volume_mute
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
