sizes of infinity

In mathematics, some infinities are larger than others. For example, the set of natural numbers (1, 2, 3, ...) is infinite, but so is the set of real numbers between 0 and 1. Interestingly, mathematicians have shown that the real numbers form a "bigger" infinity than the natural numbers. This is because you can't list all real numbers without missing some, no matter how long you try. So, infinities can vary in size: some are countably infinite (like natural numbers), and others are uncountably infinite (like real numbers), illustrating that infinity isn't a single, uniform concept.