See cardinality in All languages combined, or Wiktionary
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"ref": "2006, Michael Smithson, Jay Verkuilen, Fuzzy Set Theory: Applications in the Social Sciences, SAGE Publications, page 37:",
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"Terms with Norwegian translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Slovak translations",
"Terms with Slovene translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"Terms with Tamil translations",
"Terms with Thai translations",
"Terms with Ukrainian translations",
"Terms with Vietnamese translations",
"en:Infinity"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "cardinal",
"3": "ity"
},
"expansion": "cardinal + -ity",
"name": "suffix"
}
],
"etymology_text": "From cardinal + -ity.",
"forms": [
{
"form": "cardinalities",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "cardinality (countable and uncountable, plural cardinalities)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "cardinal"
},
{
"word": "aleph"
},
{
"word": "cardinal number"
},
{
"word": "multiplicity"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"English terms with usage examples",
"en:Set theory"
],
"examples": [
{
"text": "The empty set has a cardinality of zero.",
"type": "example"
},
{
"ref": "2005, Johan de Jong, “Set Theory”, in The Stacks Project, retrieved 2018-02-26:",
"text": "The cardinality of a set A is the least ordinal α such that there exists a bijection between A and α. We sometimes use the notation #92;alpha#61;#124;A#124; to indicate this.",
"type": "quote"
},
{
"ref": "2006, Michael Smithson, Jay Verkuilen, Fuzzy Set Theory: Applications in the Social Sciences, SAGE Publications, page 37:",
"text": "For fuzzy sets, the concept of set size or cardinality is both richer and more problematic than it is for crisp sets. It is richer because, as we shall see, we may use more than one kind of cardinality.",
"type": "quote"
},
{
"ref": "2012, Adolf Grünbaum, Robert S. Cohen, Marx W. Wartofsky, Philosophical Problems of Space and Time, 2nd edition, Springer, page 487:",
"text": "Clearly, in this example, the sensitivity to the cardinalities takes the weaker form F#91;M(A)#93;#61;#92;overset#123;#61;#125;#123;A#125; of a single-valued function from the measure to the cardinality rather than the stronger form M(A)#61;f(#92;overset#123;#61;#125;#123;A#125;) of a function from the cardinality to the measure.",
"type": "quote"
}
],
"glosses": [
"The number of elements a given set contains."
],
"links": [
[
"set theory",
"set theory"
],
[
"element",
"element"
]
],
"raw_glosses": [
"(set theory, of a set) The number of elements a given set contains."
],
"raw_tags": [
"of a set"
],
"synonyms": [
{
"word": "power"
}
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences",
"set-theory"
]
},
{
"categories": [
"English terms with quotations"
],
"examples": [
{
"ref": "2021, Martin Odersky et al., chapter 19, in Programming in Scala, 5th edition, Artima, →ISBN:",
"text": "For many types, such as String, the set of possible values is unlimited. Such types have an infinite cardinality.",
"type": "quote"
}
],
"glosses": [
"The number of terms that can inhabit a type; the possible values of a type."
],
"links": [
[
"type theory",
"type theory"
],
[
"term",
"term"
],
[
"inhabit",
"inhabit"
],
[
"type",
"type"
]
],
"qualifier": "type theory",
"raw_glosses": [
"(type theory) The number of terms that can inhabit a type; the possible values of a type."
],
"tags": [
"countable",
"uncountable"
]
},
{
"categories": [
"en:Data modeling",
"en:Databases"
],
"glosses": [
"The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many."
],
"links": [
[
"data modeling",
"data modeling"
],
[
"database",
"database"
],
[
"table",
"table"
]
],
"qualifier": "data modeling",
"raw_glosses": [
"(data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"computing",
"databases",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
},
{
"categories": [
"en:Religion"
],
"glosses": [
"The status of being cardinalitial"
],
"links": [
[
"religion",
"religion"
],
[
"cardinalitial",
"cardinalitial"
]
],
"raw_glosses": [
"(religion) The status of being cardinalitial"
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"lifestyle",
"religion"
]
}
],
"sounds": [
{
"audio": "LL-Q1860 (eng)-Wodencafe-cardinality.wav",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/e5/LL-Q1860_%28eng%29-Wodencafe-cardinality.wav/LL-Q1860_%28eng%29-Wodencafe-cardinality.wav.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/e5/LL-Q1860_%28eng%29-Wodencafe-cardinality.wav/LL-Q1860_%28eng%29-Wodencafe-cardinality.wav.ogg"
}
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "hzorutʻyun",
"sense": "(set theory)",
"word": "հզորություն"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shì",
"sense": "(set theory)",
"word": "勢 /势"
},
{
"code": "cs",
"lang": "Czech",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "mohutnost"
},
{
"code": "cs",
"lang": "Czech",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "kardinalita"
},
{
"code": "da",
"lang": "Danish",
"sense": "(set theory)",
"word": "mægtighed"
},
{
"code": "da",
"lang": "Danish",
"sense": "(set theory)",
"tags": [
"common-gender"
],
"word": "kardinalitet"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "kardinaliteit"
},
{
"code": "et",
"lang": "Estonian",
"sense": "(set theory)",
"word": "võimsus"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(set theory)",
"word": "mahtavuus"
},
{
"code": "fr",
"lang": "French",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "cardinalité"
},
{
"code": "de",
"lang": "German",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "Mächtigkeit"
},
{
"code": "de",
"lang": "German",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "Kardinalität"
},
{
"code": "el",
"lang": "Greek",
"roman": "plithárithmos",
"sense": "(set theory)",
"tags": [
"masculine"
],
"word": "πληθάριθμος"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "עָצְמָה"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "pramukhtā",
"sense": "(set theory)",
"word": "प्रमुखता"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "(set theory)",
"word": "számosság"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "fjöldatala"
},
{
"code": "ga",
"lang": "Irish",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "bunuimhreacht"
},
{
"code": "it",
"lang": "Italian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "cardinalità"
},
{
"code": "it",
"lang": "Italian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "numerosità"
},
{
"code": "it",
"lang": "Italian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "potenza"
},
{
"alt": "のうど",
"code": "ja",
"lang": "Japanese",
"roman": "nōdo",
"sense": "(set theory)",
"word": "濃度"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "jiyn quaty",
"sense": "(set theory)",
"word": "жиын қуаты"
},
{
"code": "ko",
"lang": "Korean",
"roman": "jiphabui keugi",
"sense": "(set theory)",
"word": "집합의 크기"
},
{
"alt": "濃度",
"code": "ko",
"lang": "Korean",
"roman": "nongdo",
"sense": "(set theory)",
"word": "농도"
},
{
"code": "mk",
"lang": "Macedonian",
"roman": "moḱnost",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "моќност"
},
{
"code": "no",
"lang": "Norwegian",
"sense": "(set theory)",
"word": "kardinalitet"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "liczebność"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "moc"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "cardinalidade"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "cardinalitate"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "mărime (potențială)"
},
{
"alt": "мно́жества",
"code": "ru",
"lang": "Russian",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "мо́щность"
},
{
"code": "sk",
"lang": "Slovak",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "mohutnosť"
},
{
"code": "sl",
"lang": "Slovene",
"sense": "(set theory)",
"word": "moč množice"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(set theory)",
"tags": [
"feminine"
],
"word": "cardinalidad"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "(set theory)",
"tags": [
"common-gender"
],
"word": "kardinalitet"
},
{
"code": "ta",
"lang": "Tamil",
"roman": "eṇ aḷavai",
"sense": "(set theory)",
"word": "எண் அளவை"
},
{
"code": "th",
"lang": "Thai",
"roman": "p̣hāwa cheing kār nạb",
"sense": "(set theory)",
"word": "ภาวะเชิงการนับ"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "potužnistʹ",
"sense": "(set theory)",
"tags": [
"feminine",
"inanimate"
],
"word": "потужність"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(set theory)",
"word": "lực lượng"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "(set theory)",
"word": "lực lượng của một tập hợp"
}
],
"wikipedia": [
"cardinality"
],
"word": "cardinality"
}
Download raw JSONL data for cardinality meaning in English (10.4kB)
{
"called_from": "form_descriptions/2028",
"msg": "more than one value in \"alt\": móščnostʹ (mnóžestva) vs. мно́жества",
"path": [
"cardinality"
],
"section": "English",
"subsection": "noun",
"title": "cardinality",
"trace": ""
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-08 from the enwiktionary dump dated 2025-01-01 using wiktextract (9a96ef4 and 4ed51a5). 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.