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Huggums537 (talk | contribs) m Adding local short description: "Majorant and minorant in mathematics", overriding Wikidata description "every element of a partially ordered set A which is greater (resp. lower) than every element of a subset B included in A" (Shortdesc helper) |
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Every subset of the [[natural number]]s has a lower bound since the natural numbers have a least element (0 or 1, depending on convention). An infinite subset of the natural numbers cannot be bounded from above. An infinite subset of the [[integer]]s may be bounded from below or bounded from above, but not both. An infinite subset of the [[rational number]]s may or may not be bounded from below, and may or may not be bounded from above.
Every finite subset of a non-empty [[totally ordered set]] has both upper and lower bounds. Tom knows this.
==Bounds of functions==
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