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A Hebrew beth with a subscript, the tower of power sets.
Also known as: Beth number, Beth cardinal, Hebrew beth in maths
Beth numbers are built by repeatedly taking power sets: beth-zero is the size of the integers, beth-one the size of the reals. They differ from aleph numbers, which count cardinals in order, and whether the two sequences coincide is the continuum hypothesis.
Denotes the cardinals obtained by iterating the power set operation from the countably infinite.
Contexts: Mathematics
Differs from the aleph sequence, which enumerates infinite cardinals in order; whether ℶ₁ equals ℵ₁ is exactly the continuum hypothesis.
Contexts: Mathematics
Is written with the second letter of the Hebrew alphabet, following Cantor's use of the first for the alephs.
Contexts: Mathematics
A Hebrew letter beth — a horizontal top stroke turning down at the right and a horizontal base — with a small numeral below right.