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  "body": "\n## Summary\n\nA semiorder is a strict partial order in which one element is below another when it is smaller by more than a fixed threshold.\nSemiorders model preferences in which small differences cannot be noticed.\nThey are the [[interval orders|VSNQV29KFJ]] that can be represented by intervals of the same length.\n\n## Explanations\n\n### L1 human\n\nA person may not taste the difference between coffee with $10$ grains of sugar and coffee with $11$ grains.\nYet the same person prefers $10$ grains to $500$ grains.\nSo \"not noticeably different\" is not transitive, while \"noticeably less sweet\" is still an order.\nOn the real numbers, the relation $x \\prec y$ when $x + 1 \u003c y$ is a semiorder of this kind.\n",
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