Cantor's Paradox arises from the work of mathematician Georg Cantor, who explored the concept of infinity and set theory. He demonstrated that for any set, there is always a larger set, leading to the conclusion that the set of all sets cannot exist. This is because if it did, it would both contain itself and not contain itself, creating a contradiction. The paradox highlights the complexities of infinite sets and challenges our understanding of size and quantity. It shows that while we can create sets of numbers or objects, the idea of a "set of all sets" leads to logical inconsistencies, prompting further exploration in mathematical logic and set theory.