Nice idea, but this kind of "both sides are valid" thing is pretty rare in reality

Usually most disagreements come from one side lacking some key information that shows the true state.

To extend this example, person A may have seen the previous 1-5 numbers written on the floor in the same orientation prior to the 6, person B may only have seen this number so far. Sure they're perceiving what could be a 9, but the extra information tells someone it's actually a 6.