See adicity in All languages combined, or Wiktionary
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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.",
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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."
},
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"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.",
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"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."
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"(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."
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"_dis1": "76 24",
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"word": "adinity"
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{
"_dis1": "76 24",
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"word": "arity"
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{
"_dis1": "76 24",
"sense": "number of arguments",
"word": "type"
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{
"_dis1": "76 24",
"sense": "number of arguments",
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}
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"glosses": [
"Valence."
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"(chemistry, obsolete) Valence."
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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.",
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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."
},
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"type": "quote"
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{
"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."
}
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"(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",
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"engineering",
"human-sciences",
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{
"sense": "number of arguments",
"word": "adinity"
},
{
"sense": "number of arguments",
"word": "arity"
},
{
"sense": "number of arguments",
"word": "type"
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{
"sense": "number of arguments",
"word": "rank"
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"sense": "number of arguments",
"tags": [
"feminine"
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"word": "ariteit"
},
{
"code": "nl",
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"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"
},
{
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"lang": "Greek",
"roman": "táxi",
"sense": "number of arguments",
"word": "τάξη"
},
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"sense": "number of arguments",
"word": "parametro -op"
},
{
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"sense": "number of arguments",
"tags": [
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"word": "arietà"
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Download raw JSONL data for adicity meaning in English (5.0kB)
This page is a part of the kaikki.org machine-readable English 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.
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