extensionality
The English word “extensionality” has 3 meanings listed here.
noun
- 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.
Etymology
From extensional + -ity.
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More English words
- extensional
- extensional definition
- extensionalism
- extensionalist
- extensionally
- extensionist
- extensionless
- extensionlessness
About this dictionary
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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.