"extensionally" meaning in English

{
  "antonyms": [
    {
      "word": "intensionally"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "extensional",
        "3": "ly"
      },
      "expansion": "extensional + -ly",
      "name": "suf"
    }
  ],
  "etymology_text": "From extensional + -ly.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "extensionally (not comparable)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -ly",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2008 January 3, Anand Vaidya, “Modal Rationalism and Modal Monism”, in Erkenntnis, volume 68, number 2, →DOI",
          "text": "As a consequence of these two points, the burden would seem to be on the proponent of (MM) to defend the position that the two modalities are in fact extensionally equivalent, and only notionally distinct.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "In terms or by means of extension."
      ],
      "id": "en-extensionally-en-adv-jmZ1rJ7Y",
      "links": [
        [
          "extension",
          "extension"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "extensionally"
}

{
  "antonyms": [
    {
      "word": "intensionally"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "extensional",
        "3": "ly"
      },
      "expansion": "extensional + -ly",
      "name": "suf"
    }
  ],
  "etymology_text": "From extensional + -ly.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "extensionally (not comparable)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        "English adverbs",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms suffixed with -ly",
        "English terms with quotations",
        "English uncomparable adverbs"
      ],
      "examples": [
        {
          "ref": "2008 January 3, Anand Vaidya, “Modal Rationalism and Modal Monism”, in Erkenntnis, volume 68, number 2, →DOI",
          "text": "As a consequence of these two points, the burden would seem to be on the proponent of (MM) to defend the position that the two modalities are in fact extensionally equivalent, and only notionally distinct.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "In terms or by means of extension."
      ],
      "links": [
        [
          "extension",
          "extension"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "extensionally"
}