inaccessible cardinal
cardinal unobtainable from smaller cardinals via usual cardinal arithmetic
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inaccessible cardinal
Summary
inaccessible cardinal ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1]
Key Facts
- inaccessible cardinal's subclass of is recorded as worldly cardinal[2].
- inaccessible cardinal's subclass of is recorded as weakly inaccessible cardinal[3].
- inaccessible cardinal's Freebase ID is recorded as /m/01kwfy[4].
- inaccessible cardinal's defining formula is recorded as \left(\forall\lambda<\kappa\colon 2^\lambda<\kappa\right)\land\forall\mathcal S\colon\left(|\mathcal S|<\kappa\land(\forall S\in\mathcal S\colon|S|<\kappa)\implies\left|\bigcup\mathcal S\right|<\kappa\right)<sup id="cite-C4" class="cite-ref" title="inaccessible cardinal — defining formula (P2534): \left(\forall\lambda<\kappa\colon 2^\lambda<\kappa\right)\land\forall\mathcal S\colon\left(|\mathcal S|<\kappa\land(\forall S\in\mathcal S\colon|S|<\k">[5].
- inaccessible cardinal's MathWorld ID is recorded as InaccessibleCardinal[6].
- inaccessible cardinal's nLab ID is recorded as inaccessible cardinal[7].
- inaccessible cardinal's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- inaccessible cardinal's Fandom article ID is recorded as googology:Inaccessible_cardinal[9].
- inaccessible cardinal's Microsoft Academic ID is recorded as 2777932999[10].
- inaccessible cardinal's ProofWiki ID is recorded as Definition:Strongly_Inaccessible_Cardinal[11].
- inaccessible cardinal's in defining formula is recorded as \kappa[12].
- inaccessible cardinal's Treccani's Enciclopedia della Matematica ID is recorded as cardinale-inaccessibile[13].
- inaccessible cardinal's ScienceDirect topic ID is recorded as mathematics/inaccessible-cardinal[14].
- inaccessible cardinal's ScienceDirect topic ID is recorded as mathematics/strongly-inaccessible-cardinal[15].
Why It Matters
inaccessible cardinal ranks in the top 2% of general entities by monthly Wikipedia readership (207 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[16] It is known by 7 alternative names across languages and contexts.[17]