Jimmy reasoned, the family’s automobile could never have run out of gas. After it used half its tank, there would be another half remaining, then they could use half of that, and so on, without ever reaching empty. The four-year-old had stumbled onto a classic mathematical problem involving a high degree of logic. If one must always travel half the remaining distance before reaching one’s destination, and any distance, no matter how small, can be halved, how can one ever reach one’s destination?
