Old-fashioned lecture halls generally had one aisle down the middle of the room.
And old-fashioned speakers were trained to develop their side of an argument, then give voice to the other side, before coming to their final synthesis.
These speakers stood on one side of the stage to make their case, moved to the opposite side to attack their opponent’s argument, and then, in order to reconcile the two points of view, they would step to the middle of the stage.
In this way, the physical position of the speakers on stage represented their point of view throughout their talk: point, counter-point, and finally, resolution.
That’s mind and body working together.