Thanks, I always get those terms mixed up. Nevertheless, the point stands. The only way to prove a negative is to clearly and precisely define the positive enough to reasonably ensure no further possibilities.
Let's take "Bigfoot" as an example. The only way to prove that such a creature does not exist on Earth is to define the creature clearly and precisely, and then examine the entire Earth closely enough to ensure that if one were there, it would not have been overlooked. Going for a walk in the woods and not seeing one is not proof. Going into the woods and seeing something that you think could have been one is not proof of it's existence. Other people's claims of having seen one is not proof of it's existence. Millions of people having never seen one is not proof that it does not exist. Nor are photographs, drawings, footprints, and so on, or the lack of these.
Proof requires that the phenomena observed fit a specific quantifiable criteria, and that the observations be quantifiable (reproducible) as well.