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An Introduction to Elementary Set Theory

An Introduction to Elementary Set TheoryGuram Bezhanishvili and Eachan Landreth 1 IntroductionIn this project we will learn Elementary set Theory from the original historical sources by two keyfigures in the development of set Theory , Georg Cantor (1845 1918) and Richard Dedekind (1831 1916). We will learn the basic properties of sets, how to define the size of a set, and how to comparedifferent sizes of sets. This will enable us to give precise definitions of finite and infinite sets. Wewill conclude the project by exploring a rather unusual world of infinite Cantor, the founder of set Theory , considered by many as one of the most original mindsin the history of mathematics, was born in St.

the great Karl Weierstrass (1815{1897). In 1869 Cantor obtained an unpaid lecturing post at the University of Halle. Ten years later he was promoted to a full professor. However, Cantor never achieved his dream of holding a Chair of Mathematics at Berlin. It is believed that one of the main

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