{
  "aliases": [
    "existential-introduction"
  ],
  "backlinks": null,
  "body": "\n## Summary\n\nIn predicate logic, **existential generalization** (also known as **existential introduction**, **∃I**) is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or [[existential proposition|0MSRQHCNN9]]. In [[first-order logic|086QKPF0A6]], it is often used as a rule for the existential quantifier ($\\exists$) in formal proofs.\n",
  "commit": "4a3290d299c8b2cd6493fce2296920ba7f82d942",
  "front": {
    "aliases": [
      "existential-introduction"
    ],
    "inventory": [
      "DWBV9S1WYK"
    ],
    "kind": "concept",
    "name": "Existential generalization",
    "same_as": {
      "wikidata": "Q5420356",
      "wikipedia": "Existential generalization"
    },
    "sources": [
      {
        "locator": "Existential generalization",
        "mention": "wikipedia://en/33907942",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:33907942@r1308491612"
      }
    ],
    "tag": "33ZNXRFVJJ"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/33ZNXRFVJJ/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/33ZNXRFVJJ.md",
  "msc": null,
  "name": "Existential generalization",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/33Z/33ZNXRFVJJ.md",
  "status": null,
  "tag": "33ZNXRFVJJ",
  "uri": "m2://33ZNXRFVJJ",
  "url": "https://math2.tamnd.com/wiki/existential-generalization/",
  "writing": {
    "tag": "33ZNXRFVJJ",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}
