That's an old book by George Gamow. He starts by telling a story of two mathematical naifs who can't count above three because they have no number for it, and then goes on to develop the theory of infinities:
--aleph-null is the number of integers/reals
--aleph-one is the number of rationals/points on a line or plane or solid or...
--aleph-two is the number of possible curves in space
--There is no larger infinity that we can conceive. C, the cardinality of the Continuum, may or may not be equal to aleph-two, or might be between them.
So at least where orders of infinity are concerned, we're no more advanced than his two naifs in the story.
The book is from the 'Forties, I think, and is a delightful read. Has the math changed since?
