The Quadrant is ideally suited for a nuanced discussion on more abstract goals or priorities. A facilitator can add a word at the end of each axis and ask the participants to take a position with their pointer. From this visual overview, clarification can then be requested, and the facilitator can choose to give the floor to two opposing positions first, so that an interesting discussion can start immediately.
An additional advantage of the pointers is that participants in the dialogue stay closer to their own perceptions. Whereas in a conversation without visualisation the first speaker determines to a large extent how the meaning of a subject (axis) will be filled in, the participants will more quickly fall back on their own original way of thinking, at the moment they took up a position with their pointer.