For example, 6 × 4 = 24, which equals 0 in the base-12 number system. This leads to other consequences that cause division to break down. But in a modular number system with a prime number of elements ...

They always drop to 0 in a finite number of terms. So eventually our ordinal sequence will be 0. Let's go really far down the ordinal sequence until we finally get to the one that's 0.

With a surprising new proof, two young mathematicians have found a bridge across the finite-infinite divide, helping at the same time to map this strange boundary.. The boundary does not pass ...