extensionality.
The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.
Meaning & usage
The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.
The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same.
The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
Where this word comes from
From extensional + -ity.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.