Mathematically speaking you can cut the baby in half and then reassemble it in such a way that it produces two identical babies. Perhaps this is what King Solomon was going for, originally.
Solomon: cut the baby in half
Mathematician: good. Now cut it in half again and continue cutting it in halves until the partitions are small enough to fit smoothly along an irregular curve. The number of cuts will approach infinity as the sum converges to the exact definite integral