"There are no infinities larger than any other"

This is a problem with our finite way of thinking. The truth is that while correct, there are infinities which "subsume" other infinities, creating what we might call a hierarchy, but it is a different kind of hierarchy than we are accustomed to. It is a hierarchy not based on quantity, but based on quality. The quality of one infinity vs the other is based on an infinite containing the qualities of another infinity or not, because the total "amount" is necessarily equally infinite, but of different quality.