Infinity is a concept. It is NOT a number. It can be quite mindboggling.
For example take the Infinite Hotel theorem. Assume that a special hotel has an infinite number of rooms, each having one guest in it.
What happens if we want to fit one more guest in? We move the guest in room 1 to room 2, the guest in room 2 to room 3 and so on, then we place the new guest into room 1.
Then what happens if an infinite number of guests arrive? We move the guest in room n to room 2n, so 1 goes to 2, 2 goes to 4 and 3 goes to 6 and so on. We then place the new guests in the new rooms.
Now you can see why infinity is so complex. (But it isn't a complex number. )
For example take the Infinite Hotel theorem. Assume that a special hotel has an infinite number of rooms, each having one guest in it.
What happens if we want to fit one more guest in? We move the guest in room 1 to room 2, the guest in room 2 to room 3 and so on, then we place the new guest into room 1.
Then what happens if an infinite number of guests arrive? We move the guest in room n to room 2n, so 1 goes to 2, 2 goes to 4 and 3 goes to 6 and so on. We then place the new guests in the new rooms.
Now you can see why infinity is so complex. (But it isn't a complex number. )