See elementary equivalence in All languages combined, or Wiktionary
Download JSON data for elementary equivalence meaning in English (1.5kB)
{
"forms": [
{
"form": "elementary equivalences",
"tags": [
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"expansion": "elementary equivalence (plural elementary equivalences)",
"name": "en-noun"
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"lang_code": "en",
"pos": "noun",
"senses": [
{
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{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"Entry maintenance"
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"source": "w"
},
{
"kind": "topical",
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"name": "Logic",
"orig": "en:Logic",
"parents": [
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"Philosophy",
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"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A relation between two structures which have the property that every first-order formula is valid in one structure if and only if it is valid in the other."
],
"id": "en-elementary_equivalence-en-noun-FW0TNac1",
"links": [
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[
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],
[
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],
[
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],
[
"valid",
"valid"
],
[
"if and only if",
"if and only if"
]
],
"raw_glosses": [
"(logic) A relation between two structures which have the property that every first-order formula is valid in one structure if and only if it is valid in the other."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "relation between logical structures",
"word": "elementaarinen ekvivalenssi"
}
],
"wikipedia": [
"elementary equivalence"
]
}
],
"word": "elementary equivalence"
}
{
"forms": [
{
"form": "elementary equivalences",
"tags": [
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"head_templates": [
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"args": {},
"expansion": "elementary equivalence (plural elementary equivalences)",
"name": "en-noun"
}
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
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"en:Logic"
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"glosses": [
"A relation between two structures which have the property that every first-order formula is valid in one structure if and only if it is valid in the other."
],
"links": [
[
"logic",
"logic"
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[
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[
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],
[
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]
],
"raw_glosses": [
"(logic) A relation between two structures which have the property that every first-order formula is valid in one structure if and only if it is valid in the other."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
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"wikipedia": [
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]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "relation between logical structures",
"word": "elementaarinen ekvivalenssi"
}
],
"word": "elementary equivalence"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.