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Extensionality
Translation of "extensionality" into Russian
extensionality
Noun
UK
/ɪkˌstɛnʃəˈnælɪti/
US
/ɪkˌstɛnʃəˈnælɪti/
extensionality
extensionalities pl
The principle of extensionality is fundamental in set theory.
Принцип экстенсиональности является основополагающим в теории множеств.
Definitions
extensionality
Noun
UK
/ɪkˌstɛnʃəˈnælɪti/
US
/ɪkˌstɛnʃəˈnælɪti/
The principle in logic and mathematics that two functions or sets are equal if they have the same outputs or elements, respectively.
In set theory, extensionality is used to determine if two sets are identical by comparing their elements.
The quality or state of being extensional; the condition of depending only on the extension (members, instances, or outputs) of terms or expressions rather than their intension.
Philosophers debate the extensionality of certain predicates when discussing meaning and reference.