I loved how a math teacher I knew talked about infinity: it is a garden where they grow very large numbers. It communicates that you can't work with infinity l

I loved how a math teacher I knew talked about infinity: it is a garden where they grow very large numbers. It communicates that you can't work with infinity like with a number, because it is a group of numbers. It swallows all the operands as infinity does: 2 groups = still a group; half a group is still a group; a group plus one is still a group, etc. Then you have groups of groups, or infinity powers which work the same way. A group of groups is clearly greater than just a group. At least, I think this is what he meant. He never really expanded on it beyond the garden analogy.