"adicity" meaning in All languages combined

See adicity on Wiktionary

Noun [English]

Forms: adicities [plural]
Etymology: From -adic (taken from monadic/dyadic/triadic [function/operator]) + -ity, or alternatively from -ad (taken from monad/duad/triad) + -icity. Compare Latinate equivalent arity, based on -ary. Etymology templates: {{affix|en|-ity}} -ity, {{affix|en|-icity}} -icity Head templates: {{en-noun}} adicity (plural adicities)
  1. (logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product. Categories (topical): Computer science, Logic, Mathematics Synonyms (number of arguments): adinity, arity, type, rank Translations (number of arguments): ariteit [feminine] (Dutch), plaatsigheid [feminine] (Dutch), loknombro (Esperanto), kapacito de operacio (Esperanto), arité [masculine] (French), Stelligkeit [feminine] (German), βαθμός (vathmós) (Greek), τάξη (táxi) (Greek), parametro -op (Ido), arietà [feminine] (Italian)
    Sense id: en-adicity-en-noun-FMeM7YvS Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 52 48 Topics: computer, computing, engineering, human-sciences, logic, mathematics, natural-sciences, philosophy, physical-sciences, science, sciences Disambiguation of 'number of arguments': 76 24 Disambiguation of 'number of arguments': 76 24
  2. (chemistry, obsolete) Valence. Tags: obsolete Categories (topical): Chemistry
    Sense id: en-adicity-en-noun-dH3MX0pN Categories (other): English entries with incorrect language header, English terms suffixed with -icity, English terms suffixed with -ity, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Dutch translations, Terms with Esperanto translations, Terms with French translations, Terms with German translations, Terms with Greek translations, Terms with Ido translations, Terms with Italian translations Disambiguation of English entries with incorrect language header: 52 48 Disambiguation of English terms suffixed with -icity: 37 63 Disambiguation of English terms suffixed with -ity: 38 62 Disambiguation of Entries with translation boxes: 33 67 Disambiguation of Pages with 1 entry: 40 60 Disambiguation of Pages with entries: 27 73 Disambiguation of Terms with Dutch translations: 26 74 Disambiguation of Terms with Esperanto translations: 24 76 Disambiguation of Terms with French translations: 25 75 Disambiguation of Terms with German translations: 26 74 Disambiguation of Terms with Greek translations: 32 68 Disambiguation of Terms with Ido translations: 22 78 Disambiguation of Terms with Italian translations: 24 76 Topics: chemistry, natural-sciences, physical-sciences
The following are not (yet) sense-disambiguated
Related terms: adic, -adic

Inflected forms

{
  "etymology_templates": [
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      "args": {
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        "2": "-ity"
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      "expansion": "-ity",
      "name": "affix"
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      "args": {
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        "2": "-icity"
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      "expansion": "-icity",
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  "etymology_text": "From -adic (taken from monadic/dyadic/triadic [function/operator]) + -ity, or alternatively from -ad (taken from monad/duad/triad) + -icity. Compare Latinate equivalent arity, based on -ary.",
  "forms": [
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      "form": "adicities",
      "tags": [
        "plural"
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  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0",
      "word": "adic"
    },
    {
      "_dis1": "0 0",
      "word": "-adic"
    }
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  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Computer science",
          "orig": "en:Computer science",
          "parents": [
            "Computing",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
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          "name": "Logic",
          "orig": "en:Logic",
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            "Philosophy",
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            "Fundamental"
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          "langcode": "en",
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          "orig": "en:Mathematics",
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        {
          "text": "1997, Robert W. Burch, 13: Peirce's Reduction Thesis, Nathan Houser, Don D. Roberts, James Van Evra (editor), Studies in the Logic of Charles Sanders Peirce, Indiana University Press, page 233,\nEquivalently, it says that all relations of adicity greater than 3 may be reduced to relations of adicities 1, 2, and/or 3. The negative component of the Thesis says, first, that relations of adicity 2 may not in general be constructed from (reduced to) relations exclusively of adicity 1; and, second, that relations of adicity 3 and greater may not in general be constructed from (equivalently: reduced to) relations exclusively of adicities 1 and/or 2."
        },
        {
          "ref": "2004, Susan Rothstein, Predicates and Their Subjects, Springer, page 47:",
          "text": "What can be predicted is that the adicity of any syntactic predicate is the same: since its adicity is a grammatical and not a thematic fact, semantic differences between predicates cannot affect their grammatical structure.",
          "type": "quote"
        },
        {
          "text": "2007, Helier J. Robinson, Relation Philosophy of Mathematics, Science, and Mind, Sharebooks Publishing, 2nd Edition, page 68,\nWe have seen that every relation, without exception, necessarily has a term set, and the necessary properties of simplicity and an adicity: relations without these are impossible, merely nominal."
        }
      ],
      "glosses": [
        "The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product."
      ],
      "id": "en-adicity-en-noun-FMeM7YvS",
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          "logic"
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        ],
        [
          "argument",
          "argument"
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        [
          "operand",
          "operand"
        ],
        [
          "function",
          "function"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "relation",
          "relation"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "correspond",
          "correspond"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "raw_glosses": [
        "(logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product."
      ],
      "synonyms": [
        {
          "_dis1": "76 24",
          "sense": "number of arguments",
          "word": "adinity"
        },
        {
          "_dis1": "76 24",
          "sense": "number of arguments",
          "word": "arity"
        },
        {
          "_dis1": "76 24",
          "sense": "number of arguments",
          "word": "type"
        },
        {
          "_dis1": "76 24",
          "sense": "number of arguments",
          "word": "rank"
        }
      ],
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        "logic",
        "mathematics",
        "natural-sciences",
        "philosophy",
        "physical-sciences",
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      "translations": [
        {
          "_dis1": "76 24",
          "code": "nl",
          "lang": "Dutch",
          "sense": "number of arguments",
          "tags": [
            "feminine"
          ],
          "word": "ariteit"
        },
        {
          "_dis1": "76 24",
          "code": "nl",
          "lang": "Dutch",
          "sense": "number of arguments",
          "tags": [
            "feminine"
          ],
          "word": "plaatsigheid"
        },
        {
          "_dis1": "76 24",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "number of arguments",
          "word": "loknombro"
        },
        {
          "_dis1": "76 24",
          "code": "eo",
          "lang": "Esperanto",
          "sense": "number of arguments",
          "word": "kapacito de operacio"
        },
        {
          "_dis1": "76 24",
          "code": "fr",
          "lang": "French",
          "sense": "number of arguments",
          "tags": [
            "masculine"
          ],
          "word": "arité"
        },
        {
          "_dis1": "76 24",
          "code": "de",
          "lang": "German",
          "sense": "number of arguments",
          "tags": [
            "feminine"
          ],
          "word": "Stelligkeit"
        },
        {
          "_dis1": "76 24",
          "code": "el",
          "lang": "Greek",
          "roman": "vathmós",
          "sense": "number of arguments",
          "word": "βαθμός"
        },
        {
          "_dis1": "76 24",
          "code": "el",
          "lang": "Greek",
          "roman": "táxi",
          "sense": "number of arguments",
          "word": "τάξη"
        },
        {
          "_dis1": "76 24",
          "code": "io",
          "lang": "Ido",
          "sense": "number of arguments",
          "word": "parametro -op"
        },
        {
          "_dis1": "76 24",
          "code": "it",
          "lang": "Italian",
          "sense": "number of arguments",
          "tags": [
            "feminine"
          ],
          "word": "arietà"
        }
      ]
    },
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          "orig": "en:Chemistry",
          "parents": [
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            "All topics",
            "Fundamental"
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          "_dis": "37 63",
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          "parents": [],
          "source": "w+disamb"
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          "_dis": "38 62",
          "kind": "other",
          "name": "English terms suffixed with -ity",
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          "_dis": "26 74",
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          "parents": [],
          "source": "w+disamb"
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        {
          "_dis": "24 76",
          "kind": "other",
          "name": "Terms with Esperanto translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "25 75",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
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        {
          "_dis": "26 74",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
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        {
          "_dis": "32 68",
          "kind": "other",
          "name": "Terms with Greek translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "22 78",
          "kind": "other",
          "name": "Terms with Ido translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "24 76",
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Valence."
      ],
      "id": "en-adicity-en-noun-dH3MX0pN",
      "links": [
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          "chemistry",
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      "raw_glosses": [
        "(chemistry, obsolete) Valence."
      ],
      "tags": [
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      ],
      "topics": [
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        "natural-sciences",
        "physical-sciences"
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  "wikipedia": [
    "adicity"
  ],
  "word": "adicity"
}
{
  "categories": [
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    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -icity",
    "English terms suffixed with -ity",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Dutch translations",
    "Terms with Esperanto translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Greek translations",
    "Terms with Ido translations",
    "Terms with Italian translations"
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  "etymology_templates": [
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      "args": {
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        "2": "-icity"
      },
      "expansion": "-icity",
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    }
  ],
  "etymology_text": "From -adic (taken from monadic/dyadic/triadic [function/operator]) + -ity, or alternatively from -ad (taken from monad/duad/triad) + -icity. Compare Latinate equivalent arity, based on -ary.",
  "forms": [
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      "form": "adicities",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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  "pos": "noun",
  "related": [
    {
      "word": "adic"
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    {
      "word": "-adic"
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      "categories": [
        "English terms with quotations",
        "en:Computer science",
        "en:Logic",
        "en:Mathematics"
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        {
          "text": "1997, Robert W. Burch, 13: Peirce's Reduction Thesis, Nathan Houser, Don D. Roberts, James Van Evra (editor), Studies in the Logic of Charles Sanders Peirce, Indiana University Press, page 233,\nEquivalently, it says that all relations of adicity greater than 3 may be reduced to relations of adicities 1, 2, and/or 3. The negative component of the Thesis says, first, that relations of adicity 2 may not in general be constructed from (reduced to) relations exclusively of adicity 1; and, second, that relations of adicity 3 and greater may not in general be constructed from (equivalently: reduced to) relations exclusively of adicities 1 and/or 2."
        },
        {
          "ref": "2004, Susan Rothstein, Predicates and Their Subjects, Springer, page 47:",
          "text": "What can be predicted is that the adicity of any syntactic predicate is the same: since its adicity is a grammatical and not a thematic fact, semantic differences between predicates cannot affect their grammatical structure.",
          "type": "quote"
        },
        {
          "text": "2007, Helier J. Robinson, Relation Philosophy of Mathematics, Science, and Mind, Sharebooks Publishing, 2nd Edition, page 68,\nWe have seen that every relation, without exception, necessarily has a term set, and the necessary properties of simplicity and an adicity: relations without these are impossible, merely nominal."
        }
      ],
      "glosses": [
        "The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "computer science",
          "computer science"
        ],
        [
          "argument",
          "argument"
        ],
        [
          "operand",
          "operand"
        ],
        [
          "function",
          "function"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "relation",
          "relation"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "correspond",
          "correspond"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "raw_glosses": [
        "(logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product."
      ],
      "topics": [
        "computer",
        "computing",
        "engineering",
        "human-sciences",
        "logic",
        "mathematics",
        "natural-sciences",
        "philosophy",
        "physical-sciences",
        "science",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with obsolete senses",
        "en:Chemistry"
      ],
      "glosses": [
        "Valence."
      ],
      "links": [
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          "chemistry",
          "chemistry"
        ],
        [
          "Valence",
          "valence"
        ]
      ],
      "raw_glosses": [
        "(chemistry, obsolete) Valence."
      ],
      "tags": [
        "obsolete"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "physical-sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "number of arguments",
      "word": "adinity"
    },
    {
      "sense": "number of arguments",
      "word": "arity"
    },
    {
      "sense": "number of arguments",
      "word": "type"
    },
    {
      "sense": "number of arguments",
      "word": "rank"
    }
  ],
  "translations": [
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "number of arguments",
      "tags": [
        "feminine"
      ],
      "word": "ariteit"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "number of arguments",
      "tags": [
        "feminine"
      ],
      "word": "plaatsigheid"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "number of arguments",
      "word": "loknombro"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "number of arguments",
      "word": "kapacito de operacio"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "number of arguments",
      "tags": [
        "masculine"
      ],
      "word": "arité"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "number of arguments",
      "tags": [
        "feminine"
      ],
      "word": "Stelligkeit"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "vathmós",
      "sense": "number of arguments",
      "word": "βαθμός"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "táxi",
      "sense": "number of arguments",
      "word": "τάξη"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "number of arguments",
      "word": "parametro -op"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "number of arguments",
      "tags": [
        "feminine"
      ],
      "word": "arietà"
    }
  ],
  "wikipedia": [
    "adicity"
  ],
  "word": "adicity"
}

Download raw JSONL data for adicity meaning in All languages combined (5.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.