>>11533611A hillbilly farmer has two herds of sheep. He wants to see whether one herd is bigger, but he doesn't know how to count. So what does he do? He starts pairing the sheep. If all sheep get paired, the herds are of the same size.
Natural numbers, integers, even natural numbers, even integers, fractions, positive fractions, powers of 2, prime numbers.. these all sets can be paired together so they have the same size.
But you can't pair real numbers with rational numbers. So there must be "more real numbers than rationals"
