"initial object" meaning in English

{
  "antonyms": [
    {
      "word": "terminal object"
    }
  ],
  "forms": [
    {
      "form": "initial objects",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "initial object (plural initial objects)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "In the category of sets, the initial object is the empty set, since there exists a unique function, namely the empty function, from the empty set into any other given set.",
          "type": "example"
        }
      ],
      "glosses": [
        "An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique."
      ],
      "hyponyms": [
        {
          "english": "zero object",
          "word": "null object"
        }
      ],
      "id": "en-initial_object-en-noun-wEDXCl4L",
      "links": [
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "Anfangsobjekt"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "initiales Objekt"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "načalʹnyj obʺjekt",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "начальный объект"
        }
      ],
      "wikipedia": [
        "Initial and terminal objects"
      ]
    }
  ],
  "word": "initial object"
}

{
  "antonyms": [
    {
      "word": "terminal object"
    }
  ],
  "forms": [
    {
      "form": "initial objects",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "initial object (plural initial objects)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "english": "zero object",
      "word": "null object"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Russian translations",
        "Translation table header lacks gloss",
        "en:Category theory"
      ],
      "examples": [
        {
          "text": "In the category of sets, the initial object is the empty set, since there exists a unique function, namely the empty function, from the empty set into any other given set.",
          "type": "example"
        }
      ],
      "glosses": [
        "An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(category theory) An object within a category which sends out arrows to all other objects in that category, and such that each of these arrows is unique."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "wikipedia": [
        "Initial and terminal objects"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "Anfangsobjekt"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "initiales Objekt"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "načalʹnyj obʺjekt",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "начальный объект"
    }
  ],
  "word": "initial object"
}