See axiom of extensionality on Wiktionary
{
"head_templates": [
{
"args": {
"1": "en",
"2": "noun"
},
"expansion": "axiom of extensionality",
"name": "head"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Logic",
"orig": "en:Logic",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Set theory",
"orig": "en:Set theory",
"parents": [],
"source": "w"
}
],
"glosses": [
"One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements."
],
"id": "en-axiom_of_extensionality-en-noun-f~PdylR0",
"links": [
[
"set theory",
"set theory"
],
[
"axiom",
"axiom"
]
],
"raw_glosses": [
"(set theory) One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements."
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "axiom of extensionality",
"word": "ekstensionaalisuusaksiooma"
},
{
"code": "de",
"lang": "German",
"sense": "axiom of extensionality",
"tags": [
"neuter"
],
"word": "Extensionalitätsaxiom"
},
{
"code": "pl",
"lang": "Polish",
"sense": "axiom of extensionality",
"tags": [
"masculine"
],
"word": "aksjomat ekstensjonalności"
}
],
"wikipedia": [
"axiom of extensionality"
]
}
],
"word": "axiom of extensionality"
}
{
"head_templates": [
{
"args": {
"1": "en",
"2": "noun"
},
"expansion": "axiom of extensionality",
"name": "head"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with German translations",
"Terms with Polish translations",
"en:Logic",
"en:Mathematics",
"en:Set theory"
],
"glosses": [
"One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements."
],
"links": [
[
"set theory",
"set theory"
],
[
"axiom",
"axiom"
]
],
"raw_glosses": [
"(set theory) One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements."
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"wikipedia": [
"axiom of extensionality"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "axiom of extensionality",
"word": "ekstensionaalisuusaksiooma"
},
{
"code": "de",
"lang": "German",
"sense": "axiom of extensionality",
"tags": [
"neuter"
],
"word": "Extensionalitätsaxiom"
},
{
"code": "pl",
"lang": "Polish",
"sense": "axiom of extensionality",
"tags": [
"masculine"
],
"word": "aksjomat ekstensjonalności"
}
],
"word": "axiom of extensionality"
}
Download raw JSONL data for axiom of extensionality meaning in All languages combined (1.4kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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.