This thesis explores the life and legacy of Georg Cantor, a significant mathematician whose contributions deeply influenced set theory and the concept of infinity. In the introduction, the importance of Cantor’s achievements for the mathematical community is emphasized, along with the reasons for researching his life. The first section of the paper provides a detailed portrayal of Cantor’s early life, delving into his background, family context, and early inclinations towards mathematics that shaped his future career. Cantor’s educational journey, discussed in the second part, was pivotal in laying the foundation for his mathematical interests. The central part of the paper focuses on Cantor’s revolutionary set theory. Historical frameworks of set theory prior to Cantor are studied to understand the context in which his ideas developed. Then, the fundamental concepts of set theory that Cantor developed are analyzed, such as equinumerosity of sets, various types of infinity, and features of countable and uncountable sets. The concluding section of the paper summarizes key findings and highlights the legacy Cantor left in mathematics. His set theory not only changed how mathematicians think about infinity but also laid the groundwork for a deeper understanding of the structure and relationships within mathematical objects. Throughout all sections, Cantor’s passion for research and his perseverance in facing challenges are emphasized. His vision of infinity and innovative approaches to set theory have had a profound and lasting impact on mathematical thought.