The Infinite Number Line

Between one and two, there's an infinite number of numbers. You can make a number which disagrees with every number on your list in one of the digits. With one, two, three, four, five, six, seven, it's bigger than the infinity of all the numbers. So for those of us who are less numerically inclined, you're saying, basically, you could have a pile of cats, but it's an infinite pile of cats - this is infinity cats.