{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "66NMTCQNQV"
    }
  ],
  "body": "\n## Summary\n\nA many-valued logic is a propositional logic with more than two truth values.\nIts connectives are given by tables over the set of truth values, and some values are designated as \"true enough\".\nExamples are the three-valued logics of Łukasiewicz and Kleene, and the infinite-valued Łukasiewicz logic behind fuzzy logic and [[MV-algebras|8T4M7RN9AC]].\n\n## Explanations\n\n### L1 human\n\nClassical logic has two truth values, true and false.\nA many-valued logic allows others, such as \"unknown\" or degrees of truth between $0$ and $1$.\nIn Łukasiewicz's three-valued logic, the values are $0$, $\\tfrac12$ and $1$, and \"not $x$\" has the value $1 - x$.\nThere, \"$p$ or not $p$\", with \"or\" as maximum, has value $\\tfrac12$ when $p$ has value $\\tfrac12$, so it is not a law.\n",
  "commit": "547b6eddb8f2feb8d579f2d633d22a27b7e132fc",
  "front": {
    "kind": "concept",
    "msc": [
      "03B50"
    ],
    "name": "Many-valued logic",
    "same_as": {
      "wikidata": "Q185502",
      "wikipedia": "Many-valued logic"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Many-valued_logic"
      }
    ],
    "tag": "DWYCKAKXZD"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/DWYCKAKXZD/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/DWYCKAKXZD.md",
  "msc": [
    "03B50"
  ],
  "name": "Many-valued logic",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/DWY/DWYCKAKXZD.md",
  "status": null,
  "tag": "DWYCKAKXZD",
  "uri": "m2://DWYCKAKXZD",
  "url": "https://math2.tamnd.com/wiki/many-valued-logic/",
  "writing": {
    "tag": "DWYCKAKXZD",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}