volume_mute
Is ∞ a Number?
publish date: 2026/05/23 22:07:19.565879 UTC
volume_mute
In standard mathematics, is the symbol \(\infty\) a number?
Correct Answer
No — ∞ is a symbol representing unbounded growth, not a number in the usual sense
Explanation
\(\infty\) is not a number in standard mathematics. It is a symbol — first proposed by the mathematician John Wallis (1616–1703) — representing the idea of quantities growing beyond any bound. Not all algebraic operations are defined for \(\infty\). Saying \(1/n = 0\) when \(n = \infty\) is wrong precisely because \(\infty\) cannot be substituted as a number.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012
