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  text: 'We use again our statement $S$, "*Socrates is a man*", and we add another statement $Q$, "*Socrates is not a man*".\n\nClearly, the two cannot be both true or false. The law of excluded middle says that either $P$ is true and $Q$ is false, or the opposite. We call $Q$ the **negation** of $P$, and write it:\n\n> $ Q \\equiv \\neg P$\n\nIf $P$ is true, then $\\neg P$ is false; if $P$ is false, then $\\neg P$ is true.',
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