axiom of regularity

Summary

axiom of regularity is an axiom of set theory^[1]. It draws 139 Wikipedia views per month (axiom_of_set_theory category, ranking #2 of 17).^[2]

Key Facts

• axiom of regularity's instance of is recorded as axiom of set theory^[3].
• axiom of regularity's part of is recorded as list of axioms^[4].
• axiom of regularity's Freebase ID is recorded as /m/0ww8^[5].
• axiom of regularity's defining formula is recorded as \forall x\colon x\ne\varnothing\implies\exists y\in x\colon y\cap x=\varnothing^[6].
• axiom of regularity's studied by is recorded as Zermelo–Fraenkel set theory^[7].
• axiom of regularity's MathWorld ID is recorded as AxiomofFoundation^[8].
• axiom of regularity's JSTOR topic ID is recorded as axiom-of-regularity^[9].
• axiom of regularity's nLab ID is recorded as axiom of foundation^[10].
• axiom of regularity's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• axiom of regularity's Microsoft Academic ID is recorded as 2780276191^[12].
• axiom of regularity's ProofWiki ID is recorded as Axiom:Axiom_of_Foundation^[13].
• axiom of regularity's in defining formula is recorded as \varnothing^[14].
• axiom of regularity's in defining formula is recorded as \cap^[15].
• axiom of regularity's Metamath statement ID is recorded as ax-reg^[16].

Why It Matters

axiom of regularity draws 139 Wikipedia views per month (axiom_of_set_theory category, ranking #2 of 17).^[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.^[17] It is known by 16 alternative names across languages and contexts.^[18]