See adicity on Wiktionary
Download JSON data for adicity meaning in All languages combined (6.5kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "-adic"
},
"expansion": "-adic",
"name": "m"
},
{
"args": {
"1": "en",
"2": "monadic/dyadic/triadic [[function]]/operator"
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{
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{
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"1": "en",
"2": "-ad"
},
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},
{
"args": {
"1": "en",
"2": "monad/duad/triad"
},
"expansion": "monad/duad/triad",
"name": "m"
},
{
"args": {
"1": "en",
"2": "-icity"
},
"expansion": "-icity",
"name": "affix"
},
{
"args": {
"1": "en",
"2": "arity"
},
"expansion": "arity",
"name": "m"
},
{
"args": {
"1": "en",
"2": "-ary"
},
"expansion": "-ary",
"name": "m"
}
],
"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": [
{
"form": "adicities",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "adicity (plural adicities)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "0 0",
"word": "adic"
},
{
"_dis1": "0 0",
"word": "-adic"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Computer science",
"orig": "en:Computer science",
"parents": [
"Computing",
"Sciences",
"Technology",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Logic",
"orig": "en:Logic",
"parents": [
"Formal sciences",
"Philosophy",
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],
"source": "w"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"examples": [
{
"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": "quotation"
},
{
"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",
"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."
],
"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"
}
],
"topics": [
"computer",
"computing",
"engineering",
"human-sciences",
"logic",
"mathematics",
"natural-sciences",
"philosophy",
"physical-sciences",
"science",
"sciences"
],
"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"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Chemistry",
"orig": "en:Chemistry",
"parents": [
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "34 66",
"kind": "other",
"name": "English terms suffixed with -icity",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "34 66",
"kind": "other",
"name": "English terms suffixed with -ity",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Valence."
],
"id": "en-adicity-en-noun-dH3MX0pN",
"links": [
[
"chemistry",
"chemistry"
],
[
"Valence",
"valence"
]
],
"raw_glosses": [
"(chemistry, obsolete) Valence."
],
"tags": [
"obsolete"
],
"topics": [
"chemistry",
"natural-sciences",
"physical-sciences"
]
}
],
"wikipedia": [
"adicity"
],
"word": "adicity"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms suffixed with -icity",
"English terms suffixed with -ity"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "-adic"
},
"expansion": "-adic",
"name": "m"
},
{
"args": {
"1": "en",
"2": "monadic/dyadic/triadic [[function]]/operator"
},
"expansion": "monadic/dyadic/triadic [function/operator]",
"name": "m"
},
{
"args": {
"1": "en",
"2": "-ity"
},
"expansion": "-ity",
"name": "affix"
},
{
"args": {
"1": "en",
"2": "-ad"
},
"expansion": "-ad",
"name": "m"
},
{
"args": {
"1": "en",
"2": "monad/duad/triad"
},
"expansion": "monad/duad/triad",
"name": "m"
},
{
"args": {
"1": "en",
"2": "-icity"
},
"expansion": "-icity",
"name": "affix"
},
{
"args": {
"1": "en",
"2": "arity"
},
"expansion": "arity",
"name": "m"
},
{
"args": {
"1": "en",
"2": "-ary"
},
"expansion": "-ary",
"name": "m"
}
],
"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": [
{
"form": "adicities",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "adicity (plural adicities)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "adic"
},
{
"word": "-adic"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"en:Computer science",
"en:Logic",
"en:Mathematics"
],
"examples": [
{
"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": "quotation"
},
{
"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": [
[
"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"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.