# Set Theory

## Definitions, Properties, Operations, Applications Of Set Theory

Set theory is concerned with understanding those properties of sets that are independent of the particular elements that make up the sets. Thus the axioms and theorems of set theory apply to all sets in general, whether they are composed of numbers or physical objects. The foundations of set theory were largely developed by the German mathematician George Cantor in the latter part of the nineteenth century. The generality of set theory leads to few direct practical applications. Instead, precisely because of its generality, portions of the theory are used in developing the **algebra** of groups, rings, and fields, as well as, in developing a logical basis for **calculus**, **geometry**, and **topology**. These branches of **mathematics** are all applied extensively in the fields of **physics**, **chemistry**, **biology**, and electrical and computer **engineering**.

## Additional topics

- Set Theory - Definitions
- Set Theory - Properties
- Set Theory - Operations
- Set Theory - Applications Of Set Theory
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