Calculating infinity involves understanding the concept of infinity in mathematics, which refers to a quantity that is larger than any finite number. It is not a number in the traditional sense but rather a concept that helps mathematicians explore limits, sequences, and various mathematical functions. One important aspect of calculating infinity is the idea of different sizes of infinity, introduced by Georg Cantor. For example, the set of all integers is infinite, but the set of all real numbers is a larger type of infinity, demonstrating that not all infinities are equal.