Beth Numbers
The sequence of beth numbers is defined by setting and . So is the second beth number, beth-one:
The third beth number, beth-two, is the cardinality of the power set of R (i.e. the set of all subsets of the real line):
Read more about this topic: Cardinality Of The Continuum
Famous quotes containing the words beth and/or numbers:
“Where beth they biforen us weren,”
—Unknown. Ubi Sunt Qui ante Nos Fuerunt? (L. 1)
“The barriers of conventionality have been raised so high, and so strangely cemented by long existence, that the only hope of overthrowing them exists in the union of numbers linked together by common opinion and effort ... the united watchword of thousands would strike at the foundation of the false system and annihilate it.”
—Mme. Ellen Louise Demorest 1824–1898, U.S. women’s magazine editor and woman’s club movement pioneer. Demorest’s Illustrated Monthly and Mirror of Fashions, p. 203 (January 1870)