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.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.Elementary equivalenceRelated: Elementary equivalence supports transferring first-order statements to nonstandard extensions.