Interesting, when i was taught that concept we were told that the infinite set of real numbers is a larger infinity than the set of integers. Which was apparently to complicated to prove to us, but we just had to take her word for it that there big and small infinities. Never heard the countable and uncountable stuff before, but it makes sense.
Even if the open windows of science at first make us shiver after the cozy indoor warmth of traditional humanizing myths, in the end the fresh air brings vigor, and the great spaces have a splendor of their own - Bertrand Russell
