"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": "German terms in nonstandard scripts",
          "parents": [
            "Terms in nonstandard scripts",
            "Entry maintenance"
          ],
          "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": "de",
          "lang": "Russian",
          "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",
        "German terms in nonstandard scripts",
        "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": "de",
      "lang": "Russian",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "начальный объект"
    }
  ],
  "word": "initial object"
}