The axioms of set theory | 私立大學五星教授網

In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the ...

2024年6月28日 — Set theory - Axioms, Logic, Mathematics: In contrast to naive set theory, the attitude adopted in an axiomatic development of set theory is ...

Axiomatic set theory usually assumes that there are no objects in the universe except sets (so that all quantifiers apply only to sets); other useful ...

2020年4月25日 — The branch of mathematical logic in which one deals with fragments of the informal theory of sets by methods of mathematical logic.

由 J Bagaria 著作 · 2014 · 被引用 112 次 — The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets. Also, ...

Set theory is commonly employed as a foundational system for the whole of mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of ...

Below are the nine axioms of set theory which are used today by (most) math- ematicians. Very much like the postulates of geometry, these axioms are accepted on ...