measurable cardinal

large cardinal number that is the critical point of a nontrivial elementary embedding of the universe into a transitive class
Thing general Q925445
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measurable cardinal

Summary

measurable cardinal ranks in the top 2% of general entities by monthly Wikipedia readership (41 views/month).[1]

Key Facts

  • measurable cardinal is credited with the discovery of Stanisław Ulam[2].
  • measurable cardinal's subclass of is recorded as inaccessible cardinal[3].
  • measurable cardinal's subclass of is recorded as ineffable cardinal[4].
  • measurable cardinal's subclass of is recorded as Ramsey cardinal[5].
  • measurable cardinal's time of discovery or invention is recorded as +1930-00-00T00:00:00Z[6].
  • measurable cardinal's Freebase ID is recorded as /m/01kwmm[7].
  • measurable cardinal's defining formula is recorded as \exists\mu\in{0,1}^{\mathcal P(\kappa)}\colon\left(\mu(\kappa)=1\right)\land\left(\forall\lambda\in\kappa\colon\mu({\lambda})=0\right)\land\left(\forall\mathcal A\subset\mathcal P(\kappa)\colon|\mathcal A|<\kappa\land(\forall A,B\in\mathcal A\colon A\cap B=\varnothing)\implies\sum_{A\in\mathcal A}\mu(A)=\mu\left(\bigcup\mathcal A\right)\right)[8].
  • measurable cardinal's nLab ID is recorded as measurable cardinal[9].
  • measurable cardinal's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • measurable cardinal's Microsoft Academic ID is recorded as 2779860059[11].
  • measurable cardinal's in defining formula is recorded as \kappa[12].
  • measurable cardinal's in defining formula is recorded as \mathcal P[13].
  • measurable cardinal's in defining formula is recorded as {0,1}[14].
  • measurable cardinal's in defining formula is recorded as \varnothing[15].
  • measurable cardinal's in defining formula is recorded as \mu[16].
  • measurable cardinal's in defining formula is recorded as \implies[17].
  • measurable cardinal's in defining formula is recorded as \land[18].
  • measurable cardinal's ScienceDirect topic ID is recorded as mathematics/measurable-cardinal[19].

Body

Works and Contributions

measurable cardinal is credited with the discovery of Stanisław Ulam[2].

Why It Matters

measurable cardinal ranks in the top 2% of general entities by monthly Wikipedia readership (41 views/month).[1] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[20] It is known by 4 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . 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). measurable cardinal. Retrieved April 10, 2026, from https://4ort.xyz/entity/measurable-cardinal
MLA “measurable cardinal.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/measurable-cardinal.
BibTeX @misc{4ortxyz_measurable-cardinal_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{measurable cardinal}}, year = {2026}, url = {https://4ort.xyz/entity/measurable-cardinal}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): measurable cardinal — https://4ort.xyz/entity/measurable-cardinal (retrieved 2026-04-10)

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