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axiom of limitation of size

axiom that a class is a proper class if and only if there is a function that maps it onto the class of all sets
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axiom of limitation of size

Summary

axiom of limitation of size is an axiom of set theory[1]. It draws 21 Wikipedia views per month (axiom_of_set_theory category, ranking #11 of 17).[2]

Key Facts

  • axiom of limitation of size's instance of is recorded as axiom of set theory[3].
  • axiom of limitation of size's Freebase ID is recorded as /m/0dfj6g[4].
  • axiom of limitation of size's defining formula is recorded as \forall C\Bigl [\lnot \exists D\left(C\in D\right)\iff \exists F\bigl [\forall y\exists x\bigl(x\in C\land (x,y)\in F{\bigr )}\land\forall x\forall y\forall z\bigl ([(x,y)\in F\land (x,z)\in F]\implies y=z\bigr )\bigr ]\Bigr ][5].
  • axiom of limitation of size's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • axiom of limitation of size's ProofWiki ID is recorded as Axiom:Axiom_of_Limitation_of_Size[7].

Why It Matters

axiom of limitation of size draws 21 Wikipedia views per month (axiom_of_set_theory category, ranking #11 of 17).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[8] It is known by 3 alternative names across languages and contexts.[9]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . Freebase Data Dumps. wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.
  3. [9] ↑ . 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). axiom of limitation of size. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-limitation-of-size
MLA “axiom of limitation of size.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-limitation-of-size.
BibTeX @misc{4ortxyz_axiom-of-limitation-of-size_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of limitation of size}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-limitation-of-size}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom of limitation of size — https://4ort.xyz/entity/axiom-of-limitation-of-size (retrieved 2026-05-03)

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