(Continuation of previous post) Exhaustion of cases, cognitively.

An extension-point to the previous post - There, I mentioned about the attempts failing in the Cognitive pathway. Consider this example - a ring in a plane can rotate in only 2 directions, about an axis passing through its centre and perpendicular to the plane. And this works Cognitively in exactly the same way as described about the horse case. But the attempts are failing for you - how do you know they will fail for everyone? Still, you are damn sure that there are only 2 directions - clockwise and anticlockwise - in which the ring can rotate about that axis. How can you be sure that you have exhausted all the possibilities of the directions in which the ring can rotate?