Cardinality of The Continuum - Beth Numbers

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)

    “Our religion vulgarly stands on numbers of believers. Whenever the appeal is made—no matter how indirectly—to numbers, proclamation is then and there made, that religion is not. He that finds God a sweet, enveloping presence, who shall dare to come in?”
    —Ralph Waldo Emerson (1803–1882)