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 principle of majority rule is the mildest form in which the force of numbers can be exercised. It is a pacific substitute for civil war in which the opposing armies are counted and the victory is awarded to the larger before any blood is shed. Except in the sacred tests of democracy and in the incantations of the orators, we hardly take the trouble to pretend that the rule of the majority is not at bottom a rule of force.”
—Walter Lippmann (1889–1974)