" Why don't we move past the philosophical arm waving and talk about specific examples.
Can you provide an example of evidence clearly indicating a non-natural explanation? And how, in the absence of investigation and exclusion of all possible natural explanations, does one specifically go about deriving this explanation (in other words, how does one test for the supernatural)?"
You are asking me to
Disprove the
Philosophical Assumption that, the
Naturalistic Explanation is the
only explanation.
Disproving a
Philosophical Assumption is the measure of impossibility.
The Naturalistic axioms of science are philosophical, and in no way can be disproved scientifically.
If you don't like philosophical arm waving, might I suggest you take up
empirical science instead of
Naturalistic Science.
The difference being:
Empirical science: Whatever can be empirically proved.
Naturalistic Science: Whatever can be empirically [
or otherwise] proved
that agrees with a Naturalistic World View.
More arm waving. Do you have an example of evidence clearly indicating a non-natural explanation for something? Just set aside the philosophical semantics, and let's examine something concrete.