# Category:Set theory

From Bvio.com

The words **set theory** can be used to mean a number of subtly different things in mathematics:

- Naive set theory is the original set theory developed by mathematicians at the end of the 19th century.
- Axiomatic set theory is a rigorous axiomatic theory developed in response to the discovery of serious flaws (such as Russell's Paradox) in naive set theory.
- Internal set theory is an axiomatic extension of set theory that supports a logically consistent identification of
*illimited*(enormously large) and*infinitesimal*elements within the Real numbers. - Various versions of logic have associated sorts of sets (such as fuzzy sets in fuzzy logic).

cs:Category:Teorie_množin de:Kategorie:Mengenlehre [[fr:Cat�gorie:Th�orie des ensembles]] [[is:Flokkur:Mengjafr��i]] nl:Categorie:Verzamelingenleer zh:Category:集合论

## Pages in category "Set theory"

The following 118 pages are in this category, out of 118 total.

### A

- Aleph number
- Analytical hierarchy
- Antisymmetric relation
- Arithmetical hierarchy
- Axiom of choice
- Axiom of constructibility
- Axiom of countable choice
- Axiom of dependent choice
- Axiom of empty set
- Axiom of extensionality
- Axiom of power set
- Axiom of regularity
- Axiom of union
- Axiom schema of replacement
- Axiom schema of specification
- Axiomatic set theory

### C

- Cantor set
- Cantor's diagonal argument
- Cantor's first uncountability proof
- Cantor's theorem
- Cantor-Bernstein-Schroeder theorem
- Cardinal assignment
- Cartesian product
- Choice function
- Class (set theory)
- Clubsuit
- Codomain
- Complement (set theory)
- Constructible universe
- Continuum hypothesis
- Countable set
- Covering lemma