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  "body": "\n## Definition\n\nLet $\\mathbb{N}$ be the set of [[natural numbers|0MWKJ44V5A]].\nThe successor function is the function $S \\colon \\mathbb{N} \\to \\mathbb{N}$ with $S(n) = n + 1$ for each $n$ in $\\mathbb{N}$.\nThe number $S(n)$ is the successor of $n$.\n\n## Remarks\n\nIn the [[Peano axioms|0QFT7Z76N5]], $S$ is a primitive function, and the axioms do not define it. Then $n + 1$ is a name for $S(n)$, and $1$ is a name for $S(0)$.\nFor example, $S(0) = 1$, $S(1) = 2$ and $S(S(2)) = 4$.\n\n## Explanations\n\n### L1 human\n\nThe successor of a number is the number that comes after it when you count.\nThe successor of $4$ is $5$, and the successor of $0$ is $1$.\n",
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