>>12944001Suppose you have an infinite set of coins labeled with the natural numbers.
Take away every coin. Then 0 coins remain.
? - ? = 0
Take away every coin except the first. Then 1 coin remains.
? - ? = 1
Take away every coin except the first 2. Then 2 coins remain.
? - ? = 2
Take away every odd coin. Then ? coins remain.
? - ? = ?
There's no way to assign it a consistent value.