cardinality of the continuum

Summary

cardinality of the continuum is a cardinal number^[1]. It draws 266 Wikipedia views per month (cardinal_number category, ranking #1 of 1).^[2]

Key Facts

• cardinality of the continuum's instance of is recorded as cardinal number^[3].
• cardinality of the continuum's instance of is recorded as beth number^[4].
• cardinality of the continuum's part of is recorded as beth number^[5].
• cardinality of the continuum's said to be the same as is recorded as aleph one^[6].
• cardinality of the continuum's Freebase ID is recorded as /m/05cn9k^[7].
• cardinality of the continuum's Encyclopædia Britannica Online ID is recorded as science/power-of-the-continuum^[8].
• cardinality of the continuum's defining formula is recorded as \mathfrak c=\beth_1=2^{\aleph_0}=|\mathbb R|^[9].
• cardinality of the continuum's studied by is recorded as set theory^[10].
• cardinality of the continuum's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• cardinality of the continuum's Microsoft Academic ID is recorded as 70190244^[12].
• cardinality of the continuum's ProofWiki ID is recorded as Definition:Cardinality_of_Continuum^[13].
• cardinality of the continuum's in defining formula is recorded as \mathfrak c^[14].
• cardinality of the continuum's in defining formula is recorded as \beth^[15].
• cardinality of the continuum's in defining formula is recorded as \aleph^[16].
• cardinality of the continuum's in defining formula is recorded as \mathbb R^[17].
• cardinality of the continuum's in defining formula is recorded as |{-}|^[18].
• cardinality of the continuum's Encyclopedia of Mathematics article ID is recorded as Continuum,_cardinality_of_the^[19].
• cardinality of the continuum's PlanetMath ID is recorded as CardinalityOfTheContinuum^[20].
• cardinality of the continuum's Treccani's Enciclopedia della Matematica ID is recorded as cardinalita-del-continuo^[21].
• cardinality of the continuum's Metamath statement ID is recorded as ruc^[22].

Body

Works and Contributions

Things named for cardinality of the continuum include continuum hypothesis^[23], a scientific hypothesis^[24].

Why It Matters

cardinality of the continuum draws 266 Wikipedia views per month (cardinal_number category, ranking #1 of 1).^[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.^[25] It is known by 30 alternative names across languages and contexts.^[26]

Entities named for it include continuum hypothesis^[23], a scientific hypothesis^[24].