You can cut something into 2 pieces, or 1 piece, but you can't cut something into 0 pieces.
This makes me think... if we consider dividing as an action, even when dividing by one you are still using a cutting action, you just miss the apple. But with dividing by 0, it's one less cutting action.. so there are 0 cutting actions. Then if you divide by -1, you're removing one hypothetical cutting action, ie removing the action of missing the apple. So, 10 / -2 should really equal 20, because you're reversing a cutting action that caused the total to be cut in half and equal 10...
You can cut something into 2 pieces, or 1 piece, but you can't cut something into 0 pieces.
This makes me think... if we consider dividing as an action, even when dividing by one you are still using a cutting action, you just miss the apple. But with dividing by 0, it's one less cutting action.. so there are 0 cutting actions. Then if you divide by -1, you're removing one hypothetical cutting action, ie removing the action of missing the apple. So, 10 / -2 should really equal 20, because you're reversing a cutting action that caused the total to be cut in half and equal 10...