In layman terms: If a person claims something is a fact, it is their buobligation to prove it. It's not the obligation of others to disprove it. This is often brought up in arguments between religious people and atheist.
Religious person: "I know for a fact that there is a God!"
Me: "Can you prove it?"
Religious person: " Well, you can't disprove it!"
Me: "That's not how it works. I'm not obligated to disprove god. You're obligated to prove the existence of God. You're the one who made the claim. If I told you that bigfoot is real, I would have to prove it to you. You wouldn't have to disprove it to me."
Atheist: "I know for a fact that there is no god!"
Me: "Can you prove it?"
Atheist "I don't have to prove a neg..."
Me "Wrong! If you claim that it is a fact that there is no god, you make it a positive. You DO now have burden of proof."