KnowraNonstandard analysisLinked fromLinked fromThe 10 pages that link to Nonstandard analysis, each with the reason it gives.All 10Related 5Narrower topic 2Compared with 3Model theoryRelated: Ultrapowers provide a model-theoretic route to nonstandard number systems.CalculusCompared with: It offers a distinct rigorous foundation for infinitesimal reasoning in calculus.Compactness theoremRelated: Compactness helps construct elementary extensions containing infinitesimals.InfinitesimalRelated: It gives infinitesimal reasoning a rigorous foundation while preserving real-number theorems.History of calculusRelated: It gave infinitesimal reasoning a modern foundation after centuries of controversy.Archimedean propertyCompared with: Its ordered number systems deliberately violate the property to represent infinitesimal quantities.Elementary equivalenceRelated: Elementary equivalence supports transferring first-order statements to nonstandard extensions.Hyperreal numberNarrower topic: It is the framework in which hyperreal numbers make infinitesimal arguments rigorous.Cantor–Dedekind axiomCompared with: Its enlarged number systems show that the line correspondence depends on choosing the standard reals.Standard part functionNarrower topic: The standard-part function is a central bridge from its extended numbers to the reals.