Cantor's Paradise

Cantor's Paradise is a concept from set theory illustrating the idea that infinite sets can have different sizes. Georg Cantor showed that some infinities are larger than others; for example, the set of natural numbers (1, 2, 3, ...) is infinite, but the set of real numbers between 0 and 1 is even 'more infinite,' with a greater cardinality. This challenges our intuition about size and infinity, revealing a rich hierarchy of infinities and expanding our understanding of mathematics beyond finite perspectives.