extensionality
The principle that objects are equal if and only if their observed properties are the…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
3 senses(uncountable, usually)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.
(uncountable, usually)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.
(uncountable, usually)The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.
Translations
1 languagesOrigin
From extensional + -ity.From extensional + -ity.
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Forms
plural: extensionalities| Singular | extensionality |
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uncountable
Word family
1 related wordsLessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable