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  "body": "\n## Definition\n\nLet $p$ and $q$ be [[propositions|0ZGC7ZESYN]].\nThe disjunction of $p$ and $q$ is the proposition $p \\lor q$, read \"$p$ or $q$\".\nThe proposition $p \\lor q$ is false when $p$ is false and $q$ is false. In all other cases, $p \\lor q$ is true.\n\n| $p$ | $q$ | $p \\lor q$ |\n|---|---|---|\n| T | T | T |\n| T | F | T |\n| F | T | T |\n| F | F | F |\n\n## Remarks\n\nThis \"or\" is inclusive: $p \\lor q$ is true when both $p$ and $q$ are true.\nThe exclusive \"or\" is true when exactly one of $p$ and $q$ is true.\nThe [[union|07KVB4JSC7]] of two sets uses disjunction: $x \\in A \\cup B$ means $x \\in A \\lor x \\in B$.\n\n## Explanations\n\n### L1 human\n\nThe sentence \"$4$ is even or $4$ is odd\" is a disjunction.\nIt is true, because one part is true.\nIn mathematics, \"or\" also allows both parts to be true.\n",
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  "name": "Disjunction",
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