Georg Cantor

Georg Cantor was a German mathematician famous for developing set theory, which studies collections of objects, called sets. He introduced the concept of different sizes of infinity, showing that not all infinities are equal—some, like the set of real numbers, are larger than the set of natural numbers. Cantor's work laid the foundation for modern mathematics, influencing logical reasoning and the philosophy of mathematics. His ideas also paved the way for advancements in topology and analysis, causing both controversy and admiration in his time, as they challenged traditional views on the nature of mathematical objects and infinity.