# Axiom:Axiom of Extension/Linguistic Note

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## Linguistic Note on Axiom of Extension

The nature of the **Axiom of Extension**, or **Axiom of Extensionality** as it is frequently called, suggests that the **Axiom of Extent**, ought in fact to be the preferred name, as it gives a precise definition of the **extent** of a collection.

However, the word **extensionality** is a term in logic which determines equality of objects by its external features, as opposed to **intensionality**, which is more concerned with internal structure.