Cantor's Infinity Of Infinities

Randomly pick a real number between 0 and 1. What is the probability that the number is a fraction, such as {u00BC}? Wou... (more)

Randomly pick a real number between 0 and 1. What is the probability that the number is a fraction, such as {u00BC}? Would you believe that the probability is zero? Probe this and other mind-bending facts about infinite sets, including the discovery that made Cantor exclaim, "I see it, but I don't believe it!" (less)