Double Crux is a technique for resolving complex disagreements by systematically uncovering the underlying "crucial points" on which the disagreement depends. For an individual, a crux is any fact or assumption that, if their belief about it were to change, would lead them to change their conclusion on the overall issue. A double crux is a point that both parties recognize as such: if either side changed their mind about this specific point, they would also change their stance on the broader disagreement. This method transforms debates from adversarial confrontations into collaborative inquiries, guiding participants to explore the deeper structure of their disagreement and identify the core issues that could actually shift each other's views.