In the world of mathematics, the idea of infinity is both fascinating and complex. The ability to count infinity is a topic that generates much interest and discussion. Let's explore this idea by starting with a base number, such as 1, and then counting only the odd numbers. Then we double each number to observe an interesting phenomenon: we can theoretically halve the 'time' it takes to count to infinity. Imagine you start counting at 1. Then you move on to 3, 5, 7, and so on. These are all odd numbers. Counting only odd numbers is equivalent to selecting half of all positive integers. If you double each of these numbers—so 1 becomes 2, 3 becomes 6, 5 becomes 10, and so on—you are effectively counting every second integer.