I have two questions about infinity: 1. Can infinity increase? In other words if a number can increase, wasn't it less than infinite before the increase? 2. If a number is finite, must it have a limit? The folks over in cosmology can't get through to me on how the universe can either be 'finite and unbounded' or "infinite and expanding'. Neither concept sounds logical and I thought there might some (accessible to a novice) literature on the subject in mathematics.