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)

    What culture lacks is the taste for anonymous, innumerable germination. Culture is smitten with counting and measuring; it feels out of place and uncomfortable with the innumerable; its efforts tend, on the contrary, to limit the numbers in all domains; it tries to count on its fingers.
    Jean Dubuffet (1901–1985)