Can you give an archetypal example of productive hate?
If you had a child, and you wanted to teach them to hate correctly, what would you teach them?
Well, I'm not exactly sure, as I've not put a lot of thought into analysing the various ways people can be hated.
But here's a few:
1) In the OT, it says "Do not hate your brother
in your heart", meaning, that if you hate someone, be upfront and tell them.
If someone who hates you, tells you that they have feelings of animosity towards you, then if you want to repair the friendship/relationship, you can do something about it. If you don't think the friendship/relationship is salvageable, then you can at least avoid the person, and thus avoid them screwing you over, and thus you can get on with your life.
If someone who hates you, doesn't tell you that they have feelings of animosity towards you, then you'll go about thinking that they are still your friend and you've done nothing to offend them. So you won't fix the problem, and so they'll continue to hate you. In addition, you'll think they still like you, and so you'll continue to do things with them and trust them. So when you really need something to happen, like a business deal that can make you millions, you'll rely on them and trust them to come through for you like a good friend. But they feel animosity to you, and you've done nothing to alleviate that animosity. So as far as they are concerned, you'll probably continue to screw them over, and so they will put themselves first and you last, and will be likely to drop you in the sh*t, just when you have the opportunity of a lifetime.
I heard that one of the things that sometimes happens, is that when people apply for a mortgage or a business loan, the loan advisor in the bank in their town, just so happens to be a kid they bullied in school, and refuses their loan application because he was bullied by them, and they never did anything to fix the problem.
So then the bully never gets to own his own house, and never gets to own his own business, purely because of something he did decades ago when he was a kid, and that he cannot change now.
Then the bully feels that he is justified to hate the loan advisor, because he is now being victimised for something he cannot change.
So then the bully teaches his kids that they cannot trust the loan advisor's kids. So then the bully's kids bully the loan advisor's kids in school. Then they grow up, and do the same things as adults. So then the hatred continues through their lifetime, and from generation to generation.
Often, when it continued long enough, the parties forgot what the original fight was about, but still continued the conflict, because the conflict had continued to hurt both sides all the way into the present and the recent past. So then it turned into its own self-sustaining feedback loop, that potentially could have continued to as long as those families were still living.
This sort of hatred through the generations was so common in Europe, even in small isolated villages, that it was given its own name, "vendetta". That's how common it used to be.
2) The OT also says that if you see the donkey of someone who hates you fallen down under its load, do not leave it there; be sure you help them with it.
This means that if you've really p*ssed someone off, you'll still help them when they are stuck. So then the person thinks "Well, he may be a b*stard. But at least he bailed me out when I was in the sh*t". So then the person sees you're not all bad, and is willing to make amends, and thus is open to your apology.
It also means that when you need to work together to fight a common enemy or deal with a plague that affects both of your communities, he knows that you'll still be there for him when he needs help, and so he will be expecting that you won't screw him over completely if you work together, and so when the need is great, he will be much more likely to be willing to work with you.
3) The OT also says to not take vengeance, which is interpreted in Judaism to mean that if someone refuses to lend you their lawn-mower, than you don't refuse to lend them your leaf-blower. So again, the fact that you have hatred between each other doesn't mean that you screw each other over.
4) The OT also says that in all loans, you should take security. So even if your enemy wants to borrow your leaf-blower, you should hold something of his in security in the meantime, and so you don't have to worry that your enemy will steal your leaf-blower and never return it.
5) The OT also says to not hold a grudge, which is interpreted in Judaism to mean that if someone refuses to lend you their lawn-mower, and they want to borrow your leaf-blower, you don't say back "I'll lend it to you, even though you wouldn't lend me your lawn-mover." So the other person doesn't feel like everything is point-scoring with you.
These sorts of things mean that even if you do hate someone, or someone hates you, you do things to ensure that things de-escalate and you get closer to getting on with each other.
They also thus don't stop you from working with each other, even though you don't trust each other.
So then hate moves towards love, and doesn't hold you back from productive teamwork.
I don't know if those are the best examples of productive hatred. But they seem to me to be a significant improvement.
