Cantor's Set Theory

Cantor's set theory, developed by Georg Cantor in the late 19th century, revolutionized our understanding of infinity and different sizes of infinity. He introduced the concept of sets, collections of objects, and demonstrated that not all infinities are equal. For example, the set of real numbers is larger than the set of natural numbers. Cantor’s work established the idea of countable versus uncountable sets, leading to foundational developments in mathematics, logic, and even philosophy, influencing how we conceive of the infinite and the continuum in different mathematical contexts.