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:

    Good gentlemen, look fresh and merrily.
    Let not our looks put on our purposes,
    But bear it as our Roman actors do,
    With untired spirits and formal constancy.
    William Shakespeare (1564–1616)

    One is apt to be discouraged by the frequency with which Mr. Hardy has persuaded himself that a macabre subject is a poem in itself; that, if there be enough of death and the tomb in one’s theme, it needs no translation into art, the bold statement of it being sufficient.
    Rebecca West (1892–1983)