Anger is a response to something that feels like an attack. When the attack subsides, and the threat is gone, healthy anger, having served its evolutionary purpose, fades away. Rage is a different, deeply rooted, much more destructive creature. When it is unleashed it calls for destruction.
I grew up in a home where outbursts of anger were common. The thing that took me decades to understand was that sometimes this anger was rage. Rage has no end. It can’t be reasoned with or placated, ever. It erupts like a volcano and melts everything in its path.
When you encounter rage, know what you are up against. If a person flies into a rage because they feel defied, and cannot be calmed down, it tells you they lack an adult ability to resolve conflict and operate at an immature emotional age. Being stuck in the helpless feelings of hurt they had at three years old is a shameful thing, and the humiliation of being seen losing control fuels rage, the desperate cover-up of rage and the reflex to blame someone else, everyone else, for your own inability to control your emotions.
It took me years to understand why telling a person prone to rage that they played a role in causing pain sends them into a rage. Rage is their defense against feeling vulnerable, which they equate with being fatally humiliated. In attacking someone else they feel momentarily powerful. If you tell them they hurt you, they immediately compare your claim of pain to their own much greater claim to much deeper pain. You will never get anywhere in this contest of competitive suffering, truly a game for losers.
A person who becomes enraged believes the unbearable pain they have endured in silence entitles them to tell anyone else in pain to shut up. Solipsism is a feature of a person who cannot be wrong, the fatalistic view that there is no possibility of anyone understanding what someone else thinks or feels — so shut up about your unknowable interior world. The best response to an enraged person is to get away from them.