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  "body": "\n## Summary\n\nA linear continuum is a [[totally ordered set|0FRXBVVR03]] with more than one element that has no gaps and no jumps.\nEvery nonempty subset bounded above has a [[supremum|0R3H5PANRQ]], and between any two elements lies a third.\nThe real line is the model example.\nIn the order topology, every linear continuum is [[connected|0V032VWTHD]], and so are its intervals.\n\n## Explanations\n\n### L1 human\n\nA linear continuum is an ordered line without holes.\nThe rational numbers have holes, for example at $\\sqrt{2}$, and the integers have jumps, from $1$ straight to $2$.\nThe real numbers have neither, so they form a linear continuum.\nThis is exactly what makes the real line connected and makes the intermediate value theorem true.\n",
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