Aleph hierarchy

The Aleph hierarchy is a way to describe different sizes of infinity in mathematics. It starts with the smallest infinity, known as Aleph-null (ℵ₀), which represents the countable infinity of whole numbers. As you move up the hierarchy, each subsequent Aleph represents larger infinities, like the one for real numbers. These infinities cannot be counted in the same way as whole numbers. The hierarchy helps mathematicians understand and compare different levels of infinity, revealing the vastness and complexity of infinite sets.