forcing

in set theory, a technique for enlarging models of axioms of set theory (e.g. ZFC) by adjoining new elements, often used for proving consistency and independence results
Thing scientific_technique Q1003136
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forcing

Summary

forcing is a scientific technique[1]. forcing draws 231 Wikipedia views per month (scientific_technique category, ranking #3 of 24).[2]

Key Facts

  • forcing is credited with the discovery of Paul Cohen[3].
  • forcing's instance of is recorded as scientific technique[4].
  • forcing's part of is recorded as set theory[5].
  • forcing's Freebase ID is recorded as /m/013tlv[6].
  • forcing's topic's main category is recorded as Category:Forcing (mathematics)[7].
  • forcing's Encyclopædia Britannica Online ID is recorded as topic/forcing-mathematics[8].
  • forcing's Stack Exchange tag is recorded as https://mathoverflow.net/tags/forcing[9].
  • forcing's different from is recorded as ramified forcing[10].
  • forcing's defining formula is recorded as M[G]={\operatorname{val}(u,G)|u\in M^{(\mathbb P)}}[11].
  • forcing's BabelNet ID is recorded as 00739900n[12].
  • forcing's MathWorld ID is recorded as Forcing[13].
  • forcing's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • forcing's Microsoft Academic ID is recorded as 197115733[15].
  • forcing's in defining formula is recorded as M[16].
  • forcing's in defining formula is recorded as G[17].
  • forcing's KBpedia ID is recorded as ForcingMathematics[18].
  • forcing's OpenAlex ID is recorded as C197115733[19].

Body

Works and Contributions

forcing is credited with the discovery of Paul Cohen[3].

Why It Matters

forcing draws 231 Wikipedia views per month (scientific_technique category, ranking #3 of 24).[2] forcing has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[20] forcing is known by 15 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . BabelNet. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . KBpedia. Retrieved . wikidata.org.
  17. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). forcing. Retrieved May 3, 2026, from https://4ort.xyz/entity/forcing
MLA “forcing.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/forcing.
BibTeX @misc{4ortxyz_forcing_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{forcing}}, year = {2026}, url = {https://4ort.xyz/entity/forcing}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): forcing — https://4ort.xyz/entity/forcing (retrieved 2026-05-03)

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