Cantorian Set Theory

Cantorian set theory, developed by Georg Cantor in the late 19th century, explores the concept of infinity and the nature of sets—collections of objects. It introduces different sizes of infinity, showing that some infinite sets, like the set of all numbers, are larger than others, like the set of whole numbers. Cantor's work established the idea of cardinality, which helps compare the size of sets, even infinite ones. His theories laid the groundwork for much of modern mathematics and challenged previous notions of numbers and size, influencing various fields including logic and philosophy.