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I was trained as a mathematician and I can confirm that min and max (for minimal and maximal, or minimum and maximum) are mathematically accurate terms. See https://en.wikipedia.org/wiki/Maximal_and_minimal_elements



> I can confirm that min and max (for minimal and maximal, or minimum and maximum) are mathematically accurate terms.

This is true, but they do not have exactly the same meaning. On a poset you do not speak of "the min", but of "a min". You still have "the least", which is a different notion.


Which is why I said "min makes sense for any set with a total order. Sometimes partial order too." There's no ambiguity for total order whatsoever.




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