Sentence examples for set theory from inspiring English sources

(See set theory: Cardinality and transfinite numbers).

See also set theory: Axioms for infinite and ordered sets.

(Full set theory is not needed).

Do circular objects exist in set theory?

The first is from set theory.

Every axiom of Zermelo set theory except Choice is an axiom of naive set theory.

The Kuratowski argument is the following: Set theory cannot prove that set theory is consistent in the strong sense that some Vα is a model of set theory.

And there were further contributions to set theory by Dedekind.

(Standard set theory, however, does not admit self-membered sets).

On the other hand, mereology is weaker than set theory.

The objects of pocket set theory are classes.