"set theory" meaning in English

See set theory in All languages combined, or Wiktionary

Noun

Audio: LL-Q1860 (eng)-Vealhurl-set theory.wav Forms: set theories [plural]
Head templates: {{en-noun|-|+}} set theory (usually uncountable, plural set theories)
  1. (mathematics) The mathematical theory of sets. Tags: uncountable, usually Categories (topical): Mathematics, Set theory Translations (mathematical theory of sets): բազմությունների տեսություն (bazmutʻyunneri tesutʻyun) (Armenian), 集合論 (Chinese Mandarin), 集合论 (jíhélùn) (Chinese Mandarin), teorie množin [feminine] (Czech), mængdelære (Danish), verzamelingenleer [feminine, masculine] (Dutch), joukko-oppi (Finnish), théorie des ensembles [feminine] (French), Mengenlehre [feminine] (German), Mengentheorie [feminine] (German), θεωρία των συνόλων (theoría ton synólon) [feminine] (Greek), תורת הקבוצות (Hebrew), halmazelmélet (Hungarian), mengjafræði [feminine] (Icelandic), ensemblo-teorio (Ido), teori himpunan (Indonesian), teoiric na dtacar [feminine] (Irish), tacartheoiric [feminine] (Irish), teoria degli insiemi [feminine] (Italian), insiemistica (Italian), 集合論 (shūgōron) (Japanese), 집합론 (jiphamnon) (Korean), ratio coniunctorum (Latin), teori set (Malay), mengdelære (Norwegian), teoria mnogości [feminine] (Polish), teoria de conjuntos [feminine] (Portuguese), teoria dos conjuntos f. (Portuguese), тео́рия мно́жеств (teórija mnóžestv) [feminine] (Russian), теорија скупова [Cyrillic, feminine] (Serbo-Croatian), teorija skupova [Roman, feminine] (Serbo-Croatian), teoría de conjuntos [feminine] (Spanish), mängdlära [common-gender] (Swedish), palatangkasan (Tagalog), ทฤษฎีเซต (trít-sà-dee sét) (Thai)
    Sense id: en-set_theory-en-noun-pGerfGKe Disambiguation of Set theory: 60 40 Topics: mathematics, sciences Disambiguation of 'mathematical theory of sets': 94 6
  2. (music) Musical set theory, a systematic approach to describing musical objects and their relationships. Tags: uncountable, usually Categories (topical): Music Synonyms: sets [informal] Derived forms: set-theoretic, set-theoretical, set-theoretically, naive set theory, Zermelo set theory, Zermelo-Fraenkel set theory
    Sense id: en-set_theory-en-noun-leyV383h Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Armenian translations, Terms with Czech translations, Terms with Danish translations, Terms with Dutch translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Greek translations, Terms with Hebrew translations, Terms with Hungarian translations, Terms with Icelandic translations, Terms with Ido translations, Terms with Indonesian translations, Terms with Irish translations, Terms with Italian translations, Terms with Japanese translations, Terms with Korean translations, Terms with Latin translations, Terms with Malay translations, Terms with Mandarin translations, Terms with Norwegian translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Russian translations, Terms with Serbo-Croatian translations, Terms with Spanish translations, Terms with Swedish translations, Terms with Tagalog translations, Terms with Thai translations Disambiguation of English entries with incorrect language header: 26 74 Disambiguation of Entries with translation boxes: 20 80 Disambiguation of Pages with 1 entry: 24 76 Disambiguation of Pages with entries: 13 87 Disambiguation of Terms with Armenian translations: 21 79 Disambiguation of Terms with Czech translations: 27 73 Disambiguation of Terms with Danish translations: 12 88 Disambiguation of Terms with Dutch translations: 23 77 Disambiguation of Terms with Finnish translations: 20 80 Disambiguation of Terms with French translations: 19 81 Disambiguation of Terms with German translations: 20 80 Disambiguation of Terms with Greek translations: 29 71 Disambiguation of Terms with Hebrew translations: 19 81 Disambiguation of Terms with Hungarian translations: 29 71 Disambiguation of Terms with Icelandic translations: 20 80 Disambiguation of Terms with Ido translations: 16 84 Disambiguation of Terms with Indonesian translations: 21 79 Disambiguation of Terms with Irish translations: 21 79 Disambiguation of Terms with Italian translations: 17 83 Disambiguation of Terms with Japanese translations: 18 82 Disambiguation of Terms with Korean translations: 21 79 Disambiguation of Terms with Latin translations: 18 82 Disambiguation of Terms with Malay translations: 21 79 Disambiguation of Terms with Mandarin translations: 21 79 Disambiguation of Terms with Norwegian translations: 21 79 Disambiguation of Terms with Polish translations: 23 77 Disambiguation of Terms with Portuguese translations: 18 82 Disambiguation of Terms with Russian translations: 18 82 Disambiguation of Terms with Serbo-Croatian translations: 21 79 Disambiguation of Terms with Spanish translations: 15 85 Disambiguation of Terms with Swedish translations: 19 81 Disambiguation of Terms with Tagalog translations: 21 79 Disambiguation of Terms with Thai translations: 21 79 Topics: entertainment, lifestyle, music

Inflected forms

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          "ref": "1972, Peter W. Zehna, Robert Leo Johnson, Elements of Set Theory, Allyn & Bacon, page 4:",
          "text": "We mentioned previously that certain paradoxes in set theory arose shortly after Cantor's works were published.",
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          "ref": "1984, Robert Goldblatt, Topoi, the categorial analysis of logic, page 9:",
          "text": "The above argument, known as Russell's Paradox, was discovered by Bertrand Russell in 1901. Set theory itself began a few decades earlier with the work of George Cantor.",
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          "ref": "1994, Yiannis N. Moschovakis, Notes on Set Theory, Springer, page 239:",
          "text": "The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes.",
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          "ref": "2012, M. Randall Holmes, Thomas Forster, Thierry Libert, “Alternative Set Theories”, in Dov M. Gabbay, Akihiro Kanimori, John Woods, editors, Sets and Extensions in the Twentieth Century, North-Holland: Elsevier, page 559:",
          "text": "The one thing that all alternative set theories have in common is the fact that they are alternatives to ZF or ZFC.",
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    "Terms with French translations",
    "Terms with German translations",
    "Terms with Greek translations",
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    "Terms with Ido translations",
    "Terms with Indonesian translations",
    "Terms with Irish translations",
    "Terms with Italian translations",
    "Terms with Japanese translations",
    "Terms with Korean translations",
    "Terms with Latin translations",
    "Terms with Malay translations",
    "Terms with Mandarin translations",
    "Terms with Norwegian translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Russian translations",
    "Terms with Serbo-Croatian translations",
    "Terms with Spanish translations",
    "Terms with Swedish translations",
    "Terms with Tagalog translations",
    "Terms with Thai translations",
    "en:Set theory"
  ],
  "derived": [
    {
      "word": "set-theoretic"
    },
    {
      "word": "set-theoretical"
    },
    {
      "word": "set-theoretically"
    },
    {
      "word": "naive set theory"
    },
    {
      "word": "Zermelo set theory"
    },
    {
      "word": "Zermelo-Fraenkel set theory"
    }
  ],
  "forms": [
    {
      "form": "set theories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-",
        "2": "+"
      },
      "expansion": "set theory (usually uncountable, plural set theories)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1972, Peter W. Zehna, Robert Leo Johnson, Elements of Set Theory, Allyn & Bacon, page 4:",
          "text": "We mentioned previously that certain paradoxes in set theory arose shortly after Cantor's works were published.",
          "type": "quote"
        },
        {
          "ref": "1984, Robert Goldblatt, Topoi, the categorial analysis of logic, page 9:",
          "text": "The above argument, known as Russell's Paradox, was discovered by Bertrand Russell in 1901. Set theory itself began a few decades earlier with the work of George Cantor.",
          "type": "quote"
        },
        {
          "ref": "1994, Yiannis N. Moschovakis, Notes on Set Theory, Springer, page 239:",
          "text": "The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes.",
          "type": "quote"
        },
        {
          "ref": "2012, M. Randall Holmes, Thomas Forster, Thierry Libert, “Alternative Set Theories”, in Dov M. Gabbay, Akihiro Kanimori, John Woods, editors, Sets and Extensions in the Twentieth Century, North-Holland: Elsevier, page 559:",
          "text": "The one thing that all alternative set theories have in common is the fact that they are alternatives to ZF or ZFC.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The mathematical theory of sets."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The mathematical theory of sets."
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Music"
      ],
      "glosses": [
        "Musical set theory, a systematic approach to describing musical objects and their relationships."
      ],
      "links": [
        [
          "music",
          "music"
        ],
        [
          "Musical set theory",
          "musical set theory"
        ]
      ],
      "raw_glosses": [
        "(music) Musical set theory, a systematic approach to describing musical objects and their relationships."
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "entertainment",
        "lifestyle",
        "music"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-set theory.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/4f/LL-Q1860_%28eng%29-Vealhurl-set_theory.wav/LL-Q1860_%28eng%29-Vealhurl-set_theory.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/4f/LL-Q1860_%28eng%29-Vealhurl-set_theory.wav/LL-Q1860_%28eng%29-Vealhurl-set_theory.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "tags": [
        "informal"
      ],
      "word": "sets"
    }
  ],
  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "bazmutʻyunneri tesutʻyun",
      "sense": "mathematical theory of sets",
      "word": "բազմությունների տեսություն"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "mathematical theory of sets",
      "word": "集合論"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "jíhélùn",
      "sense": "mathematical theory of sets",
      "word": "集合论"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teorie množin"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "mathematical theory of sets",
      "word": "mængdelære"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine",
        "masculine"
      ],
      "word": "verzamelingenleer"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematical theory of sets",
      "word": "joukko-oppi"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "théorie des ensembles"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "Mengenlehre"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "Mengentheorie"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "theoría ton synólon",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "θεωρία των συνόλων"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "sense": "mathematical theory of sets",
      "word": "תורת הקבוצות"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "mathematical theory of sets",
      "word": "halmazelmélet"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "mengjafræði"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "mathematical theory of sets",
      "word": "ensemblo-teorio"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "mathematical theory of sets",
      "word": "teori himpunan"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teoiric na dtacar"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "tacartheoiric"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teoria degli insiemi"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "mathematical theory of sets",
      "word": "insiemistica"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "shūgōron",
      "sense": "mathematical theory of sets",
      "word": "集合論"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "jiphamnon",
      "sense": "mathematical theory of sets",
      "word": "집합론"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "mathematical theory of sets",
      "word": "ratio coniunctorum"
    },
    {
      "code": "ms",
      "lang": "Malay",
      "sense": "mathematical theory of sets",
      "word": "teori set"
    },
    {
      "code": "no",
      "lang": "Norwegian",
      "sense": "mathematical theory of sets",
      "word": "mengdelære"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teoria mnogości"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teoria de conjuntos"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematical theory of sets",
      "word": "teoria dos conjuntos f."
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "teórija mnóžestv",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "тео́рия мно́жеств"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "mathematical theory of sets",
      "tags": [
        "Cyrillic",
        "feminine"
      ],
      "word": "теорија скупова"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "mathematical theory of sets",
      "tags": [
        "Roman",
        "feminine"
      ],
      "word": "teorija skupova"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "mathematical theory of sets",
      "tags": [
        "feminine"
      ],
      "word": "teoría de conjuntos"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "mathematical theory of sets",
      "tags": [
        "common-gender"
      ],
      "word": "mängdlära"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "mathematical theory of sets",
      "word": "palatangkasan"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "trít-sà-dee sét",
      "sense": "mathematical theory of sets",
      "word": "ทฤษฎีเซต"
    }
  ],
  "wikipedia": [
    "Musical set theory",
    "set theory"
  ],
  "word": "set theory"
}

Download raw JSONL data for set theory meaning in English (8.4kB)


This page is a part of the kaikki.org machine-readable English 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.