Date of Award

2013

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Freiling, Chris

Second Advisor

Sarli, John

Third Advisor

Trapp, Roland, and Williams, Peter

Abstract

The purpose of this thesis is to establish the history and motivation leading up to the Banach-Tarski Paradox, as well as its proof. This study discusses the early history of set theory as it is documented as well as the necessary basics of set theory in order to further understand the contents within. Set theory not only proved to be for the mathematical at heart but also struck interest into the mind of philosophers, theologians, and logicians.

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