{
  "aliases": null,
  "backlinks": [
    {
      "field": "uses",
      "target": "09K9MWD2QQ"
    },
    {
      "field": "uses",
      "target": "0H5GKDTB01"
    },
    {
      "field": "uses",
      "target": "0M28ASWG8T"
    },
    {
      "field": "uses",
      "target": "0T3DPBG981"
    },
    {
      "field": "uses",
      "target": "0XR7A7RSXB"
    },
    {
      "field": "uses",
      "target": "0ZNX6DQ3EJ"
    }
  ],
  "body": "\n## Summary\n\nA proposition is a statement that is either true or false.\nIn classical logic, each proposition has exactly one of the two truth values, true or false.\nFor example, \"$2 + 2 = 4$\" is a true proposition, and \"$7$ is even\" is a false proposition.\nA question or a command is not a proposition, because it has no truth value.\n\n## Remarks\n\nLetters such as $p$, $q$ and $r$ usually denote propositions.\nAn open sentence such as \"$x \u003e 3$\" is not a proposition until $x$ has a value. It is a [[predicate|0T3DPBG981]].\nThe connectives [[negation|0XR7A7RSXB]], [[conjunction|0M28ASWG8T]] and [[disjunction|0H5GKDTB01]] make new propositions from given propositions.\n\n## Explanations\n\n### L1 human\n\nA proposition is a sentence that you can mark with \"true\" or \"false\".\n\"It rains in Paris now\" is a proposition, because it is true or false at a given time.\n\"Close the door\" is not a proposition, because it is neither true nor false.\n",
  "commit": "545acf83a9b75c8ddc375ef8b23d2ae101a4d7e4",
  "front": {
    "kind": "concept",
    "msc": [
      "03B05"
    ],
    "name": "Proposition",
    "same_as": {
      "wikidata": "Q108163",
      "wikipedia": "Proposition"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Proposition"
      }
    ],
    "tag": "0ZGC7ZESYN"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0ZGC7ZESYN/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0ZGC7ZESYN.md",
  "msc": [
    "03B05"
  ],
  "name": "Proposition",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0ZG/0ZGC7ZESYN.md",
  "status": null,
  "tag": "0ZGC7ZESYN",
  "uri": "m2://0ZGC7ZESYN",
  "url": "https://math2.tamnd.com/wiki/proposition/",
  "writing": {
    "tag": "0ZGC7ZESYN",
    "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
      }
    ]
  }
}