If you are following logic correctly, there is no way something can differ between to perfectly logical people.

But there are people who get logic "wrong" and perceive other's logic as wrong.

When it comes to any practical situation in this universe this all seems to be the case.

but then.. if you assume the universe inside an illogical person's mind could said to exist independently of the universe of a logical person's mind (only if you are the illogical perceiver) The only logic that exists in that mind is a relatively weird logic, but it cannot be compared to standard logic, because we are assuming that the universe of the illogical person's mind is the only thing in play. We used logic to get to this conclusion though, so logic must still be in play, so the person is just downright mad... or something... or my assumption cannot be made logically because I have no way of saying that another person in this world experiences anything but myself.