See empty set on Wiktionary
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"ref": "1997, Reuben Hersh, What Is Mathematics, Really?, Oxford University Press, page 257:",
"text": "Start with the empty set. We define it as “the set of all objects not equal to themselves,” since there are no such objects. All empty sets have the same members—no members at all! Therefore, as sets they're identical, by definition of identity of sets. In other words, there's only one empty set. This unique empty set is our building block. Next comes the set whose only member is—the empty set. This set is not empty.",
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"roman": "kōngjí",
"sense": "unique set that contains no elements",
"word": "空集"
},
{
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{
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{
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"sense": "unique set that contains no elements",
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"sense": "unique set that contains no elements",
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{
"code": "hu",
"lang": "Hungarian",
"sense": "unique set that contains no elements",
"word": "üres halmaz"
},
{
"code": "it",
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"sense": "unique set that contains no elements",
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],
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},
{
"code": "ja",
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"roman": "kūshūgō",
"sense": "unique set that contains no elements",
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"word": "пра́зно мно́жество"
},
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"word": "zbiór pusty"
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{
"code": "pt",
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"word": "conjunto vazio"
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{
"code": "ro",
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"sense": "unique set that contains no elements",
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"feminine"
],
"word": "mulțime vidă"
},
{
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"roman": "pustóje mnóžestvo",
"sense": "unique set that contains no elements",
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"neuter"
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"word": "пусто́е мно́жество"
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"sense": "unique set that contains no elements",
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"code": "tl",
"lang": "Tagalog",
"sense": "unique set that contains no elements",
"word": "walang-lamang tangkas"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "unique set that contains no elements",
"word": "tập hợp rỗng"
},
{
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"sense": "unique set that contains no elements",
"word": "tập rỗng"
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{
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"roman": "kōngjí",
"sense": "unique set that contains no elements",
"word": "空集"
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{
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"sense": "unique set that contains no elements",
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{
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"sense": "unique set that contains no elements",
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},
{
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"sense": "unique set that contains no elements",
"word": "lege verzameling"
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{
"code": "et",
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"sense": "unique set that contains no elements",
"word": "tühi hulk"
},
{
"code": "fi",
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"sense": "unique set that contains no elements",
"word": "tyhjä joukko"
},
{
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"sense": "unique set that contains no elements",
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{
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],
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"sense": "unique set that contains no elements",
"tags": [
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],
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{
"code": "hu",
"lang": "Hungarian",
"sense": "unique set that contains no elements",
"word": "üres halmaz"
},
{
"code": "it",
"lang": "Italian",
"sense": "unique set that contains no elements",
"tags": [
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"word": "insieme vuoto"
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{
"code": "ja",
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"roman": "kūshūgō",
"sense": "unique set that contains no elements",
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{
"code": "lv",
"lang": "Latvian",
"sense": "unique set that contains no elements",
"tags": [
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{
"code": "mk",
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"roman": "prázno mnóžestvo",
"sense": "unique set that contains no elements",
"tags": [
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},
{
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"sense": "unique set that contains no elements",
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"masculine"
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{
"code": "pt",
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"sense": "unique set that contains no elements",
"tags": [
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{
"code": "ro",
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"word": "mulțime vidă"
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"lang": "Russian",
"roman": "pustóje mnóžestvo",
"sense": "unique set that contains no elements",
"tags": [
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"word": "пусто́е мно́жество"
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"sense": "unique set that contains no elements",
"word": "tomma mängden"
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{
"code": "tl",
"lang": "Tagalog",
"sense": "unique set that contains no elements",
"word": "walang-lamang tangkas"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "unique set that contains no elements",
"word": "tập hợp rỗng"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "unique set that contains no elements",
"word": "tập rỗng"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "unique set that contains no elements",
"tags": [
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"word": "set wag"
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],
"word": "empty set"
}
Download raw JSONL data for empty set meaning in All languages combined (6.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.