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  "body": "\n## Summary\n\nA measure space is a set together with a σ-algebra of subsets and a measure on that σ-algebra.\nIt is the basic object of measure theory and of the Lebesgue integral.\nA probability space is a measure space of total measure $1$.\n\n## Explanations\n\n### L1 human\n\nA measure space has three parts: a set of points, a list of subsets that one may measure, and a rule that gives each of them a size.\nThe real line with the Borel sets and length is the standard picture.\nA fair die gives a small example: the six faces, all subsets of faces, and the size of a subset is its number of faces divided by $6$.\n",
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