"setoid" meaning in English

See setoid in All languages combined, or Wiktionary

Noun

Forms: setoids [plural]
Etymology: Etymology tree English set Ancient Greek -ο- (-o-)der. Latin -o- Proto-Indo-European *weyd- Proto-Indo-European *-os Proto-Indo-European *wéydos Proto-Hellenic *wéidos Ancient Greek εἶδος (eîdos) Proto-Indo-European *-os Proto-Indo-European *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ειδής (-eidḗs) Latin -oīdēslbor. English -oid English setoid From set + -oid. Etymology templates: {{ety|en|:af|set|-oid|text=+|tree=1}} Etymology tree English set Ancient Greek -ο- (-o-)der. Latin -o- Proto-Indo-European *weyd- Proto-Indo-European *-os Proto-Indo-European *wéydos Proto-Hellenic *wéidos Ancient Greek εἶδος (eîdos) Proto-Indo-European *-os Proto-Indo-European *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ειδής (-eidḗs) Latin -oīdēslbor. English -oid English setoid [Appendix:Glossary#learned_borrowing|Learned borrowing]] from", "terms" : [ { "id" : "-oid", "children" : [ { "terms" : [ { "id" : "connective", "children" : [ { "keyword_abbrev" : "der.", "keyword_label" : "Derived from", "terms" : [ { "id" : "connective", "children" : [ ], "status" : "missing", "lang_name" : "Ancient Greek", "term" : "-ο-", "lang" : "grc" } ], "keyword" : "derived" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-o-", "lang" : "la" }, { "id" : "adjectival", "children" : [ { "terms" : [ { "id" : "form", "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "id" : "seeing", "children" : [ { "terms" : [ { "id" : "see", "children" : [ ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*weyd-", "lang" : "ine-pro" }, { "id" : "athematic", "children" : [ ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-os", "lang" : "ine-pro" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*wéydos", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Proto-Hellenic", "term" : "*wéidos", "status" : "inline", "lang" : "grk-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Ancient Greek", "term" : "εἶδος", "lang" : "grc" }, { "id" : "adjectival suffix", "children" : [ { "terms" : [ { "id" : "adjectival suffix", "children" : [ { "terms" : [ { "is_duplicate" : true, "id" : "athematic", "children" : [ ], "status" : { "1" : "ine-pro", "id" : "athematic", "pos" : "suffix" }, "lang_name" : "Proto-Indo-European", "term" : "*-os", "lang" : "ine-pro" } ], "keyword_label" : "From", "keyword" : "from" } ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-ēs", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Ancient Greek", "term" : "-ης", "lang" : "grc" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "status" : "ok", "lang_name" : "Ancient Greek", "term" : "-ειδής", "gloss" : "-oid, -like", "lang" : "grc" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-oīdēs", "lang" : "la" } ], "keyword" : "lbor" } ], "lang_name" : "English", "term" : "-oid", "status" : "ok", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "setoid", "status" : "ok", "lang" : "en" }" data-lang="en" data-title="setoid"> From set + -oid. Head templates: {{en-noun}} setoid (plural setoids)
  1. (set theory) A set together with an equivalence relation.

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "set",
        "4": "-oid",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nEnglish set\nAncient Greek -ο- (-o-)der.\nLatin -o-\nProto-Indo-European *weyd-\nProto-Indo-European *-os\nProto-Indo-European *wéydos\nProto-Hellenic *wéidos\nAncient Greek εἶδος (eîdos)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ειδής (-eidḗs)\nLatin -oīdēslbor.\nEnglish -oid\nEnglish setoid\n[Appendix:Glossary#learned_borrowing|Learned borrowing]] from\", \"terms\" : [ { \"id\" : \"-oid\", \"children\" : [ { \"terms\" : [ { \"id\" : \"connective\", \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"id\" : \"connective\", \"children\" : [ ], \"status\" : \"missing\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ο-\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-o-\", \"lang\" : \"la\" }, { \"id\" : \"adjectival\", \"children\" : [ { \"terms\" : [ { \"id\" : \"form\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"seeing\", \"children\" : [ { \"terms\" : [ { \"id\" : \"see\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*weyd-\", \"lang\" : \"ine-pro\" }, { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*wéydos\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Proto-Hellenic\", \"term\" : \"*wéidos\", \"status\" : \"inline\", \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"εἶδος\", \"lang\" : \"grc\" }, { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"is_duplicate\" : true, \"id\" : \"athematic\", \"children\" : [ ], \"status\" : { \"1\" : \"ine-pro\", \"id\" : \"athematic\", \"pos\" : \"suffix\" }, \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ειδής\", \"gloss\" : \"-oid, -like\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-oīdēs\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"English\", \"term\" : \"-oid\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"setoid\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"setoid\">\nFrom set + -oid.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nEnglish set\nAncient Greek -ο- (-o-)der.\nLatin -o-\nProto-Indo-European *weyd-\nProto-Indo-European *-os\nProto-Indo-European *wéydos\nProto-Hellenic *wéidos\nAncient Greek εἶδος (eîdos)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ειδής (-eidḗs)\nLatin -oīdēslbor.\nEnglish -oid\nEnglish setoid\nFrom set + -oid.",
  "forms": [
    {
      "form": "setoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "setoid (plural setoids)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries referencing missing etymons",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with etymology texts",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with etymology trees",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -oid",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages using etymon with no ID",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
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          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with etymology trees",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A set together with an equivalence relation."
      ],
      "id": "en-setoid-en-noun-~L99IlkK",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ]
      ],
      "raw_glosses": [
        "(set theory) A set together with an equivalence relation."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "setoid"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "set",
        "4": "-oid",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nEnglish set\nAncient Greek -ο- (-o-)der.\nLatin -o-\nProto-Indo-European *weyd-\nProto-Indo-European *-os\nProto-Indo-European *wéydos\nProto-Hellenic *wéidos\nAncient Greek εἶδος (eîdos)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ειδής (-eidḗs)\nLatin -oīdēslbor.\nEnglish -oid\nEnglish setoid\n[Appendix:Glossary#learned_borrowing|Learned borrowing]] from\", \"terms\" : [ { \"id\" : \"-oid\", \"children\" : [ { \"terms\" : [ { \"id\" : \"connective\", \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"id\" : \"connective\", \"children\" : [ ], \"status\" : \"missing\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ο-\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-o-\", \"lang\" : \"la\" }, { \"id\" : \"adjectival\", \"children\" : [ { \"terms\" : [ { \"id\" : \"form\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"id\" : \"seeing\", \"children\" : [ { \"terms\" : [ { \"id\" : \"see\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*weyd-\", \"lang\" : \"ine-pro\" }, { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*wéydos\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Proto-Hellenic\", \"term\" : \"*wéidos\", \"status\" : \"inline\", \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"εἶδος\", \"lang\" : \"grc\" }, { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"is_duplicate\" : true, \"id\" : \"athematic\", \"children\" : [ ], \"status\" : { \"1\" : \"ine-pro\", \"id\" : \"athematic\", \"pos\" : \"suffix\" }, \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ειδής\", \"gloss\" : \"-oid, -like\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"status\" : \"ok\", \"lang_name\" : \"Latin\", \"term\" : \"-oīdēs\", \"lang\" : \"la\" } ], \"keyword\" : \"lbor\" } ], \"lang_name\" : \"English\", \"term\" : \"-oid\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"setoid\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"setoid\">\nFrom set + -oid.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nEnglish set\nAncient Greek -ο- (-o-)der.\nLatin -o-\nProto-Indo-European *weyd-\nProto-Indo-European *-os\nProto-Indo-European *wéydos\nProto-Hellenic *wéidos\nAncient Greek εἶδος (eîdos)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ειδής (-eidḗs)\nLatin -oīdēslbor.\nEnglish -oid\nEnglish setoid\nFrom set + -oid.",
  "forms": [
    {
      "form": "setoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "setoid (plural setoids)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries referencing missing etymons",
        "English entries with etymology texts",
        "English entries with etymology trees",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms derived from the Proto-Indo-European root *weyd-",
        "English terms suffixed with -oid",
        "Pages using etymon with no ID",
        "Pages with 1 entry",
        "Pages with entries",
        "Pages with etymology trees",
        "en:Set theory"
      ],
      "glosses": [
        "A set together with an equivalence relation."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ]
      ],
      "raw_glosses": [
        "(set theory) A set together with an equivalence relation."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "setoid"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-06-07 from the enwiktionary dump dated 2026-06-01 using wiktextract (e79dea5 and 7f4db16). 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.

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