Axiom of Empty Set - Formal Statement

Formal Statement

In the formal language of the Zermelo–Fraenkel axioms, the axiom reads:

or in words:

There is a set such that no set is a member of it.

Read more about this topic:  Axiom Of Empty Set

Famous quotes containing the words formal and/or statement:

    Then the justice,
    In fair round belly with good capon lined,
    With eyes severe and beard of formal cut,
    Full of wise saws and modern instances;
    And so he plays his part.
    William Shakespeare (1564–1616)

    He has the common feeling of his profession. He enjoys a statement twice as much if it appears in fine print, and anything that turns up in a footnote ... takes on the character of divine revelation.
    Margaret Halsey (b. 1910)