Morse–Kelley set theory

first‐order axiomatic set theory permitting proper classes and class comprehension with bound (possibly proper) classes
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Morse–Kelley set theory

Summary

Morse–Kelley set theory is an axiomatic set theory[1]. It draws 42 Wikipedia views per month (axiomatic_set_theory category, ranking #2 of 6).[2]

Key Facts

  • Morse–Kelley set theory's instance of is recorded as axiomatic set theory[3].
  • Morse–Kelley set theory's instance of is recorded as alternative set theory[4].
  • Morse–Kelley set theory's instance of is recorded as set theory[5].
  • John L. Kelley is named after Morse–Kelley set theory[6].
  • Anthony Morse is named after Morse–Kelley set theory[7].
  • Morse–Kelley set theory's has part is recorded as axiom of extensionality[8].
  • Morse–Kelley set theory's time of discovery or invention is recorded as +1955-00-00T00:00:00Z[9].
  • Morse–Kelley set theory's Freebase ID is recorded as /m/07ycnj[10].
  • Morse–Kelley set theory's studied by is recorded as foundations of mathematics[11].
  • Morse–Kelley set theory's nLab ID is recorded as Morse-Kelley set theory[12].
  • Morse–Kelley set theory's Microsoft Academic ID is recorded as 1245316[13].

Why It Matters

Morse–Kelley set theory draws 42 Wikipedia views per month (axiomatic_set_theory category, ranking #2 of 6).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[14] It is known by 15 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] . Freebase Data Dumps. wikidata.org.
  9. [11] . Retrieved . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

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). Morse–Kelley set theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/morse-kelley-set-theory
MLA “Morse–Kelley set theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/morse-kelley-set-theory.
BibTeX @misc{4ortxyz_morse-kelley-set-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Morse–Kelley set theory}}, year = {2026}, url = {https://4ort.xyz/entity/morse-kelley-set-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Morse–Kelley set theory — https://4ort.xyz/entity/morse-kelley-set-theory (retrieved 2026-05-03)

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