# 201 Set concepts

<https://en.wikipedia.org/wiki/Category:Mathematicians\\_by\\_field>

set relations membership relation, is-element-of inclusion relation, is-subset-of set notation set specification set properties set operations set cardinality set theories axioms of set theory

* Set concepts, methods
* cardinality
* cardinal number (large)
  * large cardinal number
* Ordinal number
* Transfinite induction
* constructible universe
* Continuum hypothesis
* Diagonal argument
* Element
  * object
  * urelement
  * ordered pair
  * tuple
* class
* Family
* Forcing
* One-to-one correspondence
* Euler diagram
* Venn diagram
* Set types
  * Countable
  * Empty
  * Finite (hereditarily)
  * Fuzzy
  * Infinite (Dedekind-infinite) Recursive Singleton Subset · Superset Transitive Uncountable Universal
* Set Theories
  * Alternative Axiomatic Naive Cantor's theorem Zermelo General Principia Mathematica New Foundations Zermelo-Fraenkel von Neumann-Bernays-Gödel Morse-Kelley Kripke-Platek Tarski-Grothendieck
* Set Paradoxes and Problems
  * Russell's paradox
  * Suslin's problem
  * Burali-Forti paradox
  * Subset sum problem
* Set theorists <https://en.wikipedia.org/wiki/Category:Set\\_theorists> Georg Cantor Gottlieb Frege Bertrand Russell Abraham Fraenkel Ernst Zermelo John von Neumann Kurt Gödel Paul Bernays Paul Cohen Richard Dedekind Thomas Jech Thoralf Skolem Willard Quine