"extensionality" meaning in English

See extensionality in All languages combined, or Wiktionary

Noun

Forms: extensionalities [plural]
Etymology: From extensional + -ity. Etymology templates: {{suffix|en|extensional|ity}} extensional + -ity Head templates: {{en-noun|-|+}} extensionality (usually uncountable, plural extensionalities)
  1. (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. Tags: uncountable, usually Categories (topical): Philosophy
    Sense id: en-extensionality-en-noun-8~k4qq7Q Categories (other): English entries with incorrect language header, English terms suffixed with -ity, Pages with 1 entry, Pages with entries, Terms with Polish translations Disambiguation of English entries with incorrect language header: 33 28 39 Disambiguation of English terms suffixed with -ity: 30 33 37 Disambiguation of Pages with 1 entry: 31 31 38 Disambiguation of Pages with entries: 32 30 38 Disambiguation of Terms with Polish translations: 29 34 37 Topics: human-sciences, philosophy, sciences
  2. (mathematics, 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. Tags: uncountable, usually Categories (topical): Functional analysis, Mathematics
    Sense id: en-extensionality-en-noun-B4U4UR9Z Categories (other): English entries with incorrect language header, English terms suffixed with -ity, Pages with 1 entry, Pages with entries, Terms with Polish translations Disambiguation of English entries with incorrect language header: 33 28 39 Disambiguation of English terms suffixed with -ity: 30 33 37 Disambiguation of Pages with 1 entry: 31 31 38 Disambiguation of Pages with entries: 32 30 38 Disambiguation of Terms with Polish translations: 29 34 37 Topics: mathematics, sciences
  3. (mathematics, set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements. Tags: uncountable, usually Categories (topical): Mathematics, Set theory
    Sense id: en-extensionality-en-noun-mpA2Tzn7 Categories (other): English entries with incorrect language header, English terms suffixed with -ity, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Polish translations Disambiguation of English entries with incorrect language header: 33 28 39 Disambiguation of English terms suffixed with -ity: 30 33 37 Disambiguation of Entries with translation boxes: 30 30 40 Disambiguation of Pages with 1 entry: 31 31 38 Disambiguation of Pages with entries: 32 30 38 Disambiguation of Terms with Polish translations: 29 34 37 Topics: mathematics, sciences, set-theory
The following are not (yet) sense-disambiguated
Related terms: extensionalism Translations (the principle of distinguishing only by externally observable properties): ekstensjonalność (Polish)
Disambiguation of 'the principle of distinguishing only by externally observable properties': 36 31 33

Inflected forms

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      ],
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    {
      "code": "pl",
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      "sense": "the principle of distinguishing only by externally observable properties",
      "word": "ekstensjonalność"
    }
  ],
  "word": "extensionality"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.