Extensionality
Definition & Meaning
Part of speech noun
Quick meaning: Extensionality is a noun meaning (set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
Meaning
(set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
More Meanings
- (philosophy) 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.
- (functional analysis) 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.
Word Forms
- extensionalities
Related Words
Related dictionary entries include univocity, universal, identical, identicalism, analogism, similarity.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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