What follows is my response to Richard Bushey's post from http://thereforegodexists.com/2012/06/can-one-disconfirm-a-universal-negative/#comment-480
You can't ask a person to prove a position that he doesn't hold. If you're talking about people who actually say "no gods of any kind exist", you can ask them to prove it. Let me try to explain this.
There are really three classes of people who call themselves atheists. Note that I'm using my own labels (though not only my own) but it's not the labels that matter; it's the positions.
1. "Weak agnostic atheists" - those who simply lack belief that a god exists. They need to prove nothing. You have the burden when it comes to them.
2. "Strong agnostic atheists" - those who say that it's unlikely that a god exists but who don't claim to be certain. You can ask them to prove their position. You can't ask them to EXCLUDE THE POSSIBILITY that a god exists because that's not their position. But you can certainly ask them to prove that a god probably doesn't exist. I'm one of these people. You can certainly ask me to prove that it's unlikely that a god exists. And I'll try to prove it to you. You can find my proof here: http://tnij.org/provenogod
3. "Strong gnostic atheists" - these are the people (there's very, very, very few of these) who will categorically claim that they know that there's no god. You can, by all means, ask them to prove their position. What's more, they have to disprove any version of a god, and they have to disprove them beyond any doubt.
Now, let me move on to proving a negative. Just tell me what type of evidence you could expect to see if there's no god. Let's stick to it in the deistic sense in this case. How could anyone ever prove that the Universe wasn't created by some intelligent entity who then moved on to other things and does nothing to show its existence? You claim that such a proof is possible (and I disagree with you on this). Please show how, in principle, that could be done.