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  "body": "\n## Summary\n\nA truth table is a table that gives the truth value of a compound [[proposition|0ZGC7ZESYN]] for each assignment of truth values to its variables.\nEach row of the table is one assignment, and the last column gives the value of the compound proposition.\nA proposition with $n$ variables has a truth table with $2^n$ rows.\n\n## Remarks\n\nThe truth tables of [[negation|0XR7A7RSXB]], [[conjunction|0M28ASWG8T]], [[disjunction|0H5GKDTB01]], [[implication|0ZNX6DQ3EJ]] and the [[biconditional|0V6GAWTBYW]] define these connectives.\nA proposition is a [[tautology|0D1AHYPM8N]] when its column has only the value true.\nTwo propositions are [[logically equivalent|06GYGS41JK]] when their columns are the same.\n\n## Explanations\n\n### L1 human\n\nA truth table lists every possible case.\nFor $p \\land q$ there are four cases, because $p$ and $q$ each have two values.\nYou compute the value of the whole formula in each case, one row at a time.\n",
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