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)

    I had but three chairs in my house; one for solitude, two for friendship; three for society. When visitors came in larger and unexpected numbers there was but the third chair for them all, but they generally economized the room by standing up.
    Henry David Thoreau (1817–1862)