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:

    There must be a profound recognition that parents are the first teachers and that education begins before formal schooling and is deeply rooted in the values, traditions, and norms of family and culture.
    Sara Lawrence Lightfoot (20th century)

    The parent is the strongest statement that the child hears regarding what it means to be alive and real. More than what we say or do, the way we are expresses what we think it means to be alive. So the articulate parent is less a telling than a listening individual.
    Polly Berrien Berends (20th century)