This is how the conflict resolution technique called mapmaking works.
If you want to stop arguing, you have to be honest about your finite, limited perspective. Since neither person in the conflict is working with all the information, constructive possibilities remain.
Then, there are four concepts and two ground rules: Empathy, humanization, trust and vulnerability, and invitation.
Collaboration through asking questions is the result.
Here's a snippet:
It is my belief that any addition that we can mutually disclose to each other’s limited perspectives is not only worth the endeavor, it is more promising and constructive than us, at best, agreeing to disagree, and, at worst, wielding verbal swords in a battle that is destined for unnecessary animosity.