axiom of power set मीनिंग इन हिंदी

उदाहरण वाक्य

1. Tarski's axiom also implies the axioms of power set.
2. The axiom of power set appears in most axiomatizations of set theory.
3. Within the framework of Zermelo Fraenkel set theory, the axiom of power set guarantees the existence of the power set of any given set.
4. In axiomatic set theory ( as developed, for example, in the ZFC axioms ), the existence of the power set of any set is postulated by the axiom of power set.
5. Both these methods produce systems which satisfy the axioms of second-order arithmetic, since the axiom of power set allows us to quantify over the power set of \ omega, as in second-order logic.
6. There are alternative set theories, e . g . " general set theory " ( GST ), Kripke Platek set theory, and pocket set theory ( PST ), that deliberately omit the axiom of power set and the axiom of infinity and do not allow the definition of the infinite hierarchy of infinites proposed by Cantor.