"categorify" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "category",
        "3": "fy"
      },
      "expansion": "category + -fy",
      "name": "suffix"
    }
  ],
  "etymology_text": "From category + -fy.",
  "forms": [
    {
      "form": "categorifies",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "categorifying",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "categorified",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "categorified",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "categorify (third-person singular simple present categorifies, present participle categorifying, simple past and past participle categorified)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "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 -fy",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "decategorified"
        }
      ],
      "glosses": [
        "To define a theorem in terms of category theory"
      ],
      "id": "en-categorify-en-verb-lknoi8lA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics, transitive) To define a theorem in terms of category theory"
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "categorify"
}

{
  "derived": [
    {
      "word": "decategorified"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "category",
        "3": "fy"
      },
      "expansion": "category + -fy",
      "name": "suffix"
    }
  ],
  "etymology_text": "From category + -fy.",
  "forms": [
    {
      "form": "categorifies",
      "tags": [
        "present",
        "singular",
        "third-person"
      ]
    },
    {
      "form": "categorifying",
      "tags": [
        "participle",
        "present"
      ]
    },
    {
      "form": "categorified",
      "tags": [
        "participle",
        "past"
      ]
    },
    {
      "form": "categorified",
      "tags": [
        "past"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "categorify (third-person singular simple present categorifies, present participle categorifying, simple past and past participle categorified)",
      "name": "en-verb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English terms suffixed with -fy",
        "English transitive verbs",
        "English verbs",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "To define a theorem in terms of category theory"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics, transitive) To define a theorem in terms of category theory"
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "categorify"
}