"cardinality" meaning in All languages combined

See cardinality on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Wodencafe-cardinality.wav [US] Forms: cardinalities [plural]
Etymology: cardinal + -ity. Etymology templates: {{suffix|en|cardinal|ity}} cardinal + -ity Head templates: {{en-noun}} cardinality (plural cardinalities)
  1. (set theory, of a set) The number of elements a given set contains. Categories (topical): Set theory Synonyms: power Translations ((set theory)): հզորություն (hzorutʻyun) (Armenian), (Chinese Mandarin), (shì) (Chinese Mandarin), mohutnost [feminine] (Czech), kardinalita [feminine] (Czech), mægtighed (Danish), kardinalitet [common-gender] (Danish), kardinaliteit [feminine] (Dutch), võimsus (Estonian), mahtavuus (Finnish), cardinalité [feminine] (French), Mächtigkeit [feminine] (German), Kardinalität [feminine] (German), πληθάριθμος (plithárithmos) [masculine] (Greek), עָצְמָה [feminine] (Hebrew), प्रमुखता (pramukhtā) (Hindi), számosság (Hungarian), fjöldatala [feminine] (Icelandic), bunuimhreacht [feminine] (Irish), cardinalità [feminine] (Italian), numerosità [feminine] (Italian), potenza [feminine] (Italian), 濃度 (nōdo) (alt: のうど) (Japanese), жиын қуаты (jiyn quaty) (Kazakh), 집합의 크기 (jiphabui keugi) (Korean), 농도 (nongdo) (alt: 濃度) (Korean), моќност (moḱnost) [feminine] (Macedonian), kardinalitet (Norwegian), liczebność [feminine] (Polish), moc [feminine] (Polish), cardinalidade [feminine] (Portuguese), cardinalitate [feminine] (Romanian), mărime (potențială) [feminine] (Romanian), мо́щность (alt: мно́жества) [feminine] (Russian), mohutnosť (Slovak), moč množice (Slovene), cardinalidad [feminine] (Spanish), kardinalitet [common-gender] (Swedish), எண் அளவை (eṇ aḷavai) (Tamil), ภาวะเชิงการนับ (p̣hāwa cheing kār nạb) (Thai), потужність (potužnistʹ) (Ukrainian), lực lượng (Vietnamese), lực lượng của một tập hợp (Vietnamese)
    Sense id: en-cardinality-en-noun-F3WHa6P1 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms suffixed with -ity, Infinity Disambiguation of English entries with incorrect language header: 35 3 25 38 Disambiguation of English entries with topic categories using raw markup: 42 4 27 27 Disambiguation of English terms suffixed with -ity: 28 34 14 24 Disambiguation of Infinity: 51 9 27 14 Topics: mathematics, sciences, set-theory Disambiguation of '(set theory)': 74 2 15 9
  2. (type theory) The number of terms that can inhabit a type; the possible values of a type.
    Sense id: en-cardinality-en-noun-4mwpPKqp Categories (other): English terms suffixed with -ity Disambiguation of English terms suffixed with -ity: 28 34 14 24
  3. (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. Categories (topical): Data modeling, Databases
    Sense id: en-cardinality-en-noun-JvQAXxoZ Categories (other): English entries with incorrect language header, English terms suffixed with -ity Disambiguation of English entries with incorrect language header: 35 3 25 38 Disambiguation of English terms suffixed with -ity: 28 34 14 24 Topics: computing, databases, engineering, mathematics, natural-sciences, physical-sciences, sciences
  4. (religion) The status of being cardinalitial Categories (topical): Religion
    Sense id: en-cardinality-en-noun-0bOZEUOz Categories (other): English entries with incorrect language header, English terms suffixed with -ity Disambiguation of English entries with incorrect language header: 35 3 25 38 Disambiguation of English terms suffixed with -ity: 28 34 14 24 Topics: lifestyle, religion
The following are not (yet) sense-disambiguated
Related terms: cardinal, aleph, cardinal number, multiplicity

Inflected forms

Download JSON data for cardinality meaning in All languages combined (11.7kB)

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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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          "ref": "2012, Adolf Grünbaum, Robert S. Cohen, Marx W. Wartofsky, Philosophical Problems of Space and Time, 2nd edition, Springer, page 487",
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          "_dis1": "74 2 15 9",
          "code": "hy",
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          "_dis1": "74 2 15 9",
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          "word": "勢"
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          "_dis1": "74 2 15 9",
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          "_dis1": "74 2 15 9",
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          "sense": "(set theory)",
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          "_dis1": "74 2 15 9",
          "code": "et",
          "lang": "Estonian",
          "sense": "(set theory)",
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          "_dis1": "74 2 15 9",
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          "lang": "Finnish",
          "sense": "(set theory)",
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          "_dis1": "74 2 15 9",
          "code": "fr",
          "lang": "French",
          "sense": "(set theory)",
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          "_dis1": "74 2 15 9",
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          "sense": "(set theory)",
          "tags": [
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          "word": "Mächtigkeit"
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          "lang": "German",
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          "code": "el",
          "lang": "Greek",
          "roman": "plithárithmos",
          "sense": "(set theory)",
          "tags": [
            "masculine"
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          "word": "πληθάριθμος"
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          "_dis1": "74 2 15 9",
          "code": "he",
          "lang": "Hebrew",
          "sense": "(set theory)",
          "tags": [
            "feminine"
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          "word": "עָצְמָה"
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          "_dis1": "74 2 15 9",
          "code": "hi",
          "lang": "Hindi",
          "roman": "pramukhtā",
          "sense": "(set theory)",
          "word": "प्रमुखता"
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          "_dis1": "74 2 15 9",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "(set theory)",
          "word": "számosság"
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          "code": "is",
          "lang": "Icelandic",
          "sense": "(set theory)",
          "tags": [
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          "word": "fjöldatala"
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          "_dis1": "74 2 15 9",
          "code": "ga",
          "lang": "Irish",
          "sense": "(set theory)",
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          "word": "bunuimhreacht"
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          "_dis1": "74 2 15 9",
          "code": "it",
          "lang": "Italian",
          "sense": "(set theory)",
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          "word": "cardinalità"
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          "_dis1": "74 2 15 9",
          "code": "it",
          "lang": "Italian",
          "sense": "(set theory)",
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          "word": "numerosità"
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          "_dis1": "74 2 15 9",
          "code": "it",
          "lang": "Italian",
          "sense": "(set theory)",
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          "word": "potenza"
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          "alt": "のうど",
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          "lang": "Japanese",
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          "sense": "(set theory)",
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          "word": "liczebność"
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          "_dis1": "74 2 15 9",
          "code": "pl",
          "lang": "Polish",
          "sense": "(set theory)",
          "tags": [
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          "word": "moc"
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          "_dis1": "74 2 15 9",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "(set theory)",
          "tags": [
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          "word": "cardinalidade"
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          "lang": "Romanian",
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          "tags": [
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          "word": "cardinalitate"
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          "_dis1": "74 2 15 9",
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          "lang": "Romanian",
          "sense": "(set theory)",
          "tags": [
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          "word": "mărime (potențială)"
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          "_dis1": "74 2 15 9",
          "alt": "мно́жества",
          "code": "ru",
          "lang": "Russian",
          "sense": "(set theory)",
          "tags": [
            "feminine"
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          "word": "мо́щность"
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          "_dis1": "74 2 15 9",
          "code": "sk",
          "lang": "Slovak",
          "sense": "(set theory)",
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          "code": "sl",
          "lang": "Slovene",
          "sense": "(set theory)",
          "word": "moč množice"
        },
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          "_dis1": "74 2 15 9",
          "code": "es",
          "lang": "Spanish",
          "sense": "(set theory)",
          "tags": [
            "feminine"
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          "word": "cardinalidad"
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          "_dis1": "74 2 15 9",
          "code": "sv",
          "lang": "Swedish",
          "sense": "(set theory)",
          "tags": [
            "common-gender"
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          "word": "kardinalitet"
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          "_dis1": "74 2 15 9",
          "code": "ta",
          "lang": "Tamil",
          "roman": "eṇ aḷavai",
          "sense": "(set theory)",
          "word": "எண் அளவை"
        },
        {
          "_dis1": "74 2 15 9",
          "code": "th",
          "lang": "Thai",
          "roman": "p̣hāwa cheing kār nạb",
          "sense": "(set theory)",
          "word": "ภาวะเชิงการนับ"
        },
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          "_dis1": "74 2 15 9",
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "potužnistʹ",
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          "word": "потужність"
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          "_dis1": "74 2 15 9",
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          "lang": "Vietnamese",
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          "word": "lực lượng"
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          "_dis1": "74 2 15 9",
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          "lang": "Vietnamese",
          "sense": "(set theory)",
          "word": "lực lượng của một tập hợp"
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    "en:Infinity"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "cardinal",
        "3": "ity"
      },
      "expansion": "cardinal + -ity",
      "name": "suffix"
    }
  ],
  "etymology_text": "cardinal + -ity.",
  "forms": [
    {
      "form": "cardinalities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cardinality (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 #x5C;alpha#x3D;#x7C;A#x7C; to indicate this.",
          "type": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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#x5B;M(A)#x5D;#x3D;#x5C;overset#x7B;#x3D;#x7D;#x7B;A#x7D; of a single-valued function from the measure to the cardinality rather than the stronger form M(A)#x3D;f(#x5C;overset#x7B;#x3D;#x7D;#x7B;A#x7D;) of a function from the cardinality to the measure.",
          "type": "quotation"
        }
      ],
      "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"
        }
      ],
      "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",
          "text": "For many types, such as String, the set of possible values is unlimited. Such types have an infinite cardinality.",
          "type": "quotation"
        }
      ],
      "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."
      ]
    },
    {
      "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."
      ],
      "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"
      ],
      "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",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    }
  ],
  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "hzorutʻyun",
      "sense": "(set theory)",
      "word": "հզորություն"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "(set theory)",
      "word": "勢"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "shì",
      "sense": "(set theory)",
      "word": "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)",
      "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)",
      "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"
}
{
  "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 All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.