Jeff250 wrote:we have something like the "Principle of Uniformity of Nature" to guarantee...
We have a terrible enough time justifying the Principle of Uniformity of Nature in nature.... it doesn't attempt to justify it. It just assumes it.
So you see, as the key difference between "supernatural" and "natural" realms, a principle which we assume but don't justify? A principle that you just don't think "makes sense" applying to the supernatural, for no particular reason? That's pretty weak.
Science is the repeated process: observe, theorize, test. In general, we desire for our theories to be more "compact" than our observations. We can always take a set of data points and make a theory that just lists them off, but that's not a very interesting theory. Instead, we want a theory that explains a large amount of data (and predicts yet-ungathered data) while itself being relatively simple. That's what the "Principle of Uniformity of Nature" really comes down to -- we want theories that explain things consistantly throughout time and space, because that's simpler than theories that require us to predict things differently at different times and spaces.
If we're working in a realm that doesn't have a principle of uniformity, the process we call "science" may or may not still yield useful results, depending on exactly how non-uniform it is -- that is, depending on how "wacky" the governing dynamics are wrt time and space. If the wackiness itself conforms to some underlying rule (ex: space-time isn't uniform, but its curvature depends on mass, energy, and momentum in a predictable way) then we can still do science within that realm.
Now, wrt the natural world, we simply assume such a principle of uniformity, and then we work from there. When the principle seems to function appropriately, we hold on to it, and when it doesn't, we discard it and create a new version (see space-time curvature.) You spend a lot of time talking about how you don't "think" the principle should apply to the supernatural. Well, why not use it the same way as we do in the natural realm -- start by assuming it, and see what happens?