Here's a crazy optical illusion. The silhouette can be seen to be spinning in both directions... don't believe me just watch long enough and you'll see it (you may have to focus on the shadow the shadow to see it change direction.)
Is she spinning clockwise? YES! Is she spinning anti-clockwise? YES! Can she be spinning both ways at the same time? NO! But two people could argue rightly for hours over which way she is actually spinning.
Hmm... makes me think about how important it is to listen to others who may see things from a slightly different perspective.