Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational numbers.

Yes, infinity comes in many sizes. In 1873, the German mathematician Georg Cantor shook math to the core when he discovered that the “real” numbers that fill the number line — most with never-ending ...

Without the theorem of the excluded middle, all kinds of difficulties arise. In fact, many mathematical proofs are based on ...

Irrational numbers simplify. They fill in all the holes that exist in the set of rational numbers and make it possible to study limits, continuity, derivatives, integrals and so on.

Through hands-on service, Walters is helping students understand that math is more than numbers—it’s a language used to make sense of the world. “The name of this course is Math in Your World, so the ...

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. They are the building blocks of more intricate math, such as algebra.

Because of this, he concluded that the set of real numbers is larger than the set of natural numbers. Thus, a second kind of infinity was born: the uncountably infinite.