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  "body": "\n## Summary\n\nAn interval order is a partial order whose elements can be drawn as [[intervals|0Q1D85B8G6]] of the real line.\nOne element is below another exactly when its interval lies entirely to the left.\nInterval orders model events in time and preferences with a threshold of indifference.\nA finite poset is an interval order exactly when it contains no copy of two incomparable two-element chains, a result of Fishburn.\n\n## Explanations\n\n### L1 human\n\nGive each element a time slot, such as a meeting from $9$ to $10$ o'clock.\nSay that one meeting comes before another when it ends before the other starts.\nOverlapping meetings are then incomparable.\nFor the slots $a = [0, 1]$, $b = [2, 3]$ and $c = [0.5, 2.5]$, the only relation is $a \u003c b$, while $c$ overlaps both.\n",
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