You see, the problem is you're not considering how these two emotions/feeling/whatever else you want to call them fit together. If you think about it, you only love something or someone because you hate the opposite of what that thing or person is. However, that is not to say that they are opposite. Why? Because hate and love can only exist based on each other. If you didn't know what love was, how could you know what hate was.
Now you may use the number analogy again, to say that 1 is the opposite of -1 and 0 is the middle ground, however you have proven yourself wrong by using that analogy. If 1 represents love, and 0 represents indifference or lack of feeling, then -1 would represent an even more intense lack of feeling, which is very very different than feeling hate.
The only way to not experience love or hate is to be completely indifferent to both feelings, to completely have no feeling at all. You can only love if you hate, and you can only hate if you love, and a lot of times we do both at the same time. If you are indifferent, you feel neither...
