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