nonstandard analysis

alternative formulation of calculus using a logically rigorous notion of infinitesimal numbers
Thing mathematical_theory Q1503766
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nonstandard analysis

Summary

nonstandard analysis is a mathematical theory[1]. It draws 558 Wikipedia views per month (mathematical_theory category, ranking #8 of 29).[2]

Key Facts

  • nonstandard analysis's instance of is recorded as mathematical theory[3].
  • nonstandard analysis is a type of mathematical analysis[4].
  • nonstandard analysis is part of model theory[5].
  • nonstandard analysis is part of mathematical analysis[6].
  • nonstandard analysis's Commons category is recorded as Nonstandard analysis[7].
  • nonstandard analysis's topic's main category is recorded as Category:Nonstandard analysis[8].
  • nonstandard analysis's uses is recorded as infinitesimal[9].
  • nonstandard analysis's does not have part is recorded as (ε, δ)-definition of limit[10].
  • nonstandard analysis's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

nonstandard analysis's instance of is recorded as mathematical theory[3]. It is a type of mathematical analysis[4].

Use and Application

Part of include model theory[5], a mathematical theory[12] and mathematical analysis[6], an academic discipline[13].

Why It Matters

nonstandard analysis draws 558 Wikipedia views per month (mathematical_theory category, ranking #8 of 29).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[14] It is known by 19 alternative names across languages and contexts.[15]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Inline context (facts about related entities)

  1. [12] . Wikidata. wikidata.org. → on this site
  2. [13] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). nonstandard analysis. Retrieved May 3, 2026, from https://4ort.xyz/entity/nonstandard-analysis
MLA “nonstandard analysis.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/nonstandard-analysis.
BibTeX @misc{4ortxyz_nonstandard-analysis_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{nonstandard analysis}}, year = {2026}, url = {https://4ort.xyz/entity/nonstandard-analysis}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): nonstandard analysis — https://4ort.xyz/entity/nonstandard-analysis (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 5w ago · Twofivesixbot bot · 2026-05-27 view diff on Wikidata ↗
    Uses
    Part of
    Uses infinitesimal
    Part of model theory, mathematical analysis
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007555766305171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.