I've been waiting for another opportunity to poke holes in the lavish presuppositions folks often bring to POE arguments and this recent banter was just what I needed to get motivated.
To review, the Omni^4 Claim is the idea that the God of the Bible simultaneously possesses the following four qualities: omnipotence, omniscience, omnibenevolence and omnipresence. IOW, that the God of the Bible is all-powerful, all-knowing, all-loving and all-present. As an aside, many people disregard omnipresence as irrelevant to POE arguments, but I thought I'd throw it in there for historical accuracy if nothing else.
This is something that's been rattling around inside my head for some time now, and I won't be surprised if people disagree. I've written on it before, and I've never been able to come up with a fancy name for a skeptic's argument from ignorance.
We have to admit, when skeptics accuse believers of claiming that a gap in scientific knowledge constitutes evidence for God (for example in the transition from non-life to life), it's called a God Of The Gaps (GOTG) argument. It is essentially an argument from ignorance, in particular, an argument that a set of claims is true because their competing set of claims lacks a particular element needed to justify their conclusion and is hence assumed false.