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  "body": "\n## Definition\n\nLet $A$ and $B$ be [[sets|0SJ3RX9TXA]].\nThe sets $A$ and $B$ are disjoint when $A \\cap B = \\varnothing$.\nA family of sets $(A_i)_{i \\in I}$ is pairwise disjoint when $A_i \\cap A_j = \\varnothing$ for all $i, j \\in I$ with $i \\neq j$.\n\n## Remarks\n\nExample: $\\{1, 2\\}$ and $\\{3, 4\\}$ are disjoint, but $\\{1, 2\\}$ and $\\{2, 3\\}$ are not.\nThe blocks of a [[partition|09CCE86A6D]] are pairwise disjoint.\nFor finite disjoint sets, the number of elements of $A \\cup B$ is the sum of the numbers of elements of $A$ and $B$.\n\n## Explanations\n\n### L1 human\n\nDisjoint sets do not overlap.\nThe even integers and the odd integers are disjoint, because no integer is both.\n",
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