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  "body": "\n## Summary\n\nA ring of sets is a nonempty family of sets that is closed under unions and differences of two members.\nIt is then closed under intersections and symmetric differences too.\nRings of sets are a common domain for contents and premeasures before they are extended to measures.\n\n## Explanations\n\n### L1 human\n\nA ring of sets is a family of sets in which one can glue two members together and cut one member out of another.\nUnlike an algebra of sets, it need not contain a largest set.\nFor example, the finite subsets of the natural numbers form a ring: the union and the difference of two finite sets are finite.\nThe name comes from algebra: with symmetric difference as addition and intersection as multiplication, the family is a ring.\n",
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