Blog Post 5: The Infinite
What is infinity? Well it is very easy to understand the concept, but much harder to apply it. Everyone for example can understand that no matter what, you can always add 1 to an integer to get the next term. Why is it such a hard idea to work with then? Well there are a variety of reasons that will be explored below. Strangely, every time we explore the idea of the infinite, we seem to only be able to start and end with questions. A normal starting point to exploring the infinite might be: How big is infinity? Well of course there is no exact answer. For example, there are an infinite number of real numbers, and also an infinite number of rational numbers. If we apply the concept of infinity to answer the question of whether there are more rationals or reals, we don't get very far. We cannot say which is larger as they are both infinitely large. Are you starting to see the problems that arise when applying the concept of infinity? Ok, so we know that things can be infinitel
