Large Numbers - Infinite Numbers

Infinite Numbers

Main article: cardinal number See also: large cardinal, Mahlo cardinal, and totally indescribable cardinal

Although all these numbers above are very large, they are all still finite. Certain fields of mathematics define infinite and transfinite numbers. For example, aleph-null is the cardinality of the infinite set of natural numbers, and aleph-one is the next greatest cardinal number. is the cardinality of the reals. The proposition that is known as the continuum hypothesis.

Read more about this topic:  Large Numbers

Famous quotes containing the words infinite and/or numbers:

    So that if you would form a just judgment of what is of infinite importance to you not to be misled in,—namely, in what degree of real merit you stand ... call in religion and morality.—Look,—What is written in the law of God?—How readest thou?—Consult calm reason and the unchangeable obligations of justice and truth;Mwhat say they?
    Laurence Sterne (1713–1768)

    And when all bodies meet
    In Lethe to be drowned,
    Then only numbers sweet
    With endless life are crowned.
    Robert Herrick (1591–1674)