KnowraHyperreal numberLinked fromLinked fromThe 6 pages that link to Hyperreal number, each with the reason it gives.All 6Broader topic 2Narrower topic 1Compared with 3Real numberCompared with: Hyperreals preserve real arithmetic while adding values outside the ordinary real continuum.InfinitesimalBroader topic: Hyperreal numbers provide a framework where infinitesimals coexist consistently with real numbers.Nonstandard analysisBroader topic: Hyperreal numbers provide the number system in which nonstandard calculus takes place.Archimedean propertyCompared with: Hyperreal fields exhibit positive infinitesimals and therefore fail the property.Extended real number lineCompared with: Hyperreal infinities are numbers in an extended field, unlike these endpoint symbols.Standard part functionNarrower topic: The function takes finite hyperreal numbers as inputs.