{
  "aliases": null,
  "backlinks": [
    {
      "field": "uses",
      "target": "2CHENV4DCC"
    },
    {
      "field": "uses",
      "target": "Q85MMH5DEY"
    },
    {
      "field": "uses",
      "target": "VZ21F10WRS"
    },
    {
      "field": "defines",
      "target": "BQQ0FPFZ67"
    }
  ],
  "body": "\n## Summary\n\nA term is an expression of a first-order language that names an object.\nTerms are built from variables and constant symbols by applying function symbols of the [[signature|WDVVEYD6AT]].\nIn a [[structure|983GZBQYT4]], once the variables have values, each term has a value, which is an element of the structure.\nTerms play the role of nouns in logic, while formulas play the role of statements.\n\n## Explanations\n\n### L1 human\n\nIn the language of arithmetic, $x + 1$ and $(x \\cdot y) + 0$ are terms.\nThey stand for numbers once you say what $x$ and $y$ are.\nFor example, with $x = 3$ the term $x + 1$ has value $4$.\nAn expression such as $x \u003c y$ is not a term: it does not name a number but makes a claim.\n",
  "commit": "547b6eddb8f2feb8d579f2d633d22a27b7e132fc",
  "front": {
    "kind": "concept",
    "msc": [
      "03B10",
      "03C07"
    ],
    "name": "Term",
    "same_as": {
      "wikidata": "Q1318370",
      "wikipedia": "Term (logic)"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Term_(logic)"
      }
    ],
    "tag": "6D3WA7N2W4"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/6D3WA7N2W4/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/6D3WA7N2W4.md",
  "msc": [
    "03B10",
    "03C07"
  ],
  "name": "Term",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/6D3/6D3WA7N2W4.md",
  "status": null,
  "tag": "6D3WA7N2W4",
  "uri": "m2://6D3WA7N2W4",
  "url": "https://math2.tamnd.com/wiki/term/",
  "writing": {
    "tag": "6D3WA7N2W4",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      },
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}
