Is there a number greater than infinity?

Our question: how can one type of infinity be smaller than another? To understand that, let's take a basic example using two different sets of "counting" numbers (the fancy term for these numbers is "natural") and imagine those sets both extend forever. read more

As usual, it depends on what you mean by "number", what you mean by "greater than" and what you mean by "infinity". We can generalize the idea of a number past infinity in a few different ways. For example, we have cardinal and ordinal numbers which both extend the natural numbers in two different ways. read more

Dana . Hi Dana, It depends how you define "infinity''; after all, infinity is a trickier concept than "three'' or "seventeen''. One definition is: : The ideal point at the right end of the number line. With this definition, there is nothing (meaning: no real numbers) larger than infinity. read more