Standard Lemma guide

extensionality

noun · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: human-sciences, philosophy, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

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.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Qualifier: functional analysis

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable, usually

Topics: mathematics, sciences, set-theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From extensional + -ity.

Across languages

Translations

1 source translations are retained for this English entry.

  • Polish: ekstensjonalność — the principle of distinguishing only by externally observable properties