"ordered set" meaning in English

See ordered set in All languages combined, or Wiktionary

Noun

Forms: ordered sets [plural]
Head templates: {{en-noun}} ordered set (plural ordered sets)
  1. (mathematics) A partially ordered set. Categories (topical): Mathematics
    Sense id: en-ordered_set-en-noun--kN46LLW Topics: mathematics, sciences
  2. (mathematics) A totally ordered set. Categories (topical): Mathematics
    Sense id: en-ordered_set-en-noun-f-ZAgui1 Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 40 55 6 Topics: mathematics, sciences
  3. (mathematics) A well-ordered set. Categories (topical): Mathematics
    Sense id: en-ordered_set-en-noun-AftdRfLz Topics: mathematics, sciences

Inflected forms

Download JSON data for ordered set meaning in English (1.8kB)

{
  "forms": [
    {
      "form": "ordered sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ordered set (plural ordered sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A partially ordered set."
      ],
      "id": "en-ordered_set-en-noun--kN46LLW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "partially ordered set",
          "partially ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A partially ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "40 55 6",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A totally ordered set."
      ],
      "id": "en-ordered_set-en-noun-f-ZAgui1",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "totally ordered set",
          "totally ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A totally ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A well-ordered set."
      ],
      "id": "en-ordered_set-en-noun-AftdRfLz",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "well-ordered set",
          "well-ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A well-ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ordered set"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns"
  ],
  "forms": [
    {
      "form": "ordered sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ordered set (plural ordered sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A partially ordered set."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "partially ordered set",
          "partially ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A partially ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A totally ordered set."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "totally ordered set",
          "totally ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A totally ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A well-ordered set."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "well-ordered set",
          "well-ordered set"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A well-ordered set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ordered set"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.