axiom of infinity

Summary

axiom of infinity is an axiom of set theory^[1]. It draws 151 Wikipedia views per month (axiom_of_set_theory category, ranking #3 of 17).^[2]

Key Facts

• axiom of infinity's instance of is recorded as axiom of set theory^[3].
• axiom of infinity's part of is recorded as list of axioms^[4].
• axiom of infinity's Freebase ID is recorded as /m/01knr9^[5].
• axiom of infinity's Encyclopædia Britannica Online ID is recorded as topic/axiom-of-infinity^[6].
• axiom of infinity's defining formula is recorded as \exists \mathbf{I} \, ( \empty \in \mathbf{I} \, \and \, \forall x \in \mathbf{I} \, ( \, ( x \cup {x} ) \in \mathbf{I} ) )^[7].
• axiom of infinity's studied by is recorded as Zermelo–Fraenkel set theory^[8].
• axiom of infinity's MathWorld ID is recorded as AxiomofInfinity^[9].
• axiom of infinity's PhilPapers topic is recorded as the-axiom-of-infinity^[10].
• axiom of infinity's JSTOR topic ID is recorded as axiom-of-infinity^[11].
• axiom of infinity's nLab ID is recorded as axiom of infinity^[12].
• axiom of infinity's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• axiom of infinity's Microsoft Academic ID is recorded as 2780907442^[14].
• axiom of infinity's ProofWiki ID is recorded as Axiom:Axiom_of_Infinity^[15].
• axiom of infinity's PlanetMath ID is recorded as AxiomOfInfinity^[16].
• axiom of infinity's Metamath statement ID is recorded as ax-inf^[17].

Why It Matters

axiom of infinity draws 151 Wikipedia views per month (axiom_of_set_theory category, ranking #3 of 17).^[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[18]