Set Theory
Overview
One of the foundational concepts in mathematics is the concept of a group of mathematical objects, all sharing certain
properties which makes it possible to talk about the group as a whole. As an example, the group of positive integers
(the natural numbers, 1,2,3,...) represents a group that can be talked about as a unit.
Set theory provides the language to describe these collections. It is often viewed as foundational to mathematics.
Topics
- Notions
- discusses the basic notions and definitions in set theory.
- Paradoxes -
one of the primary motivations for the formal development of set theory were the paradoxes that were uncovered in
naive set theory.
- Axiom of Choice
Versions
There have been several different attempts to define a set of axioms for set theory.
