What if a person claiming to get messages from God was examined and found to have brain activity quite like that of persons who are diagnosed as mentally ill... what if all of this is true, yet it is also the case that the purportedly prophetic messages repeatedly proved true?
How about defining it as an instance of functional complexity? And treating the list of properties as following necessarily from this definition? Okay, this is very diamond-in-the-rough (or perhaps zirconium...) but here goes my thoughts on the matter: (Complexity) Many diverse parts (functional) acting for the sake of the whole I think I need to add something like "not as the instrument of another" or something like that. Given that they act together as one whole and given entropy, etc., the organism will need to posses more order than its surroundings (homeostasis). It will therefore need to take in energy (nutrition), which it will use to sustain its readiness to interact with its environment so as to preserve its own being (homeostasis again?), but which will eventually break down (death), so that in order for that life form to continue it will need to duplicate itself (reproduction), which, upon occurring, will involve both development (growth) to maturity and...
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I guess my point in posting that is that being able to measure correlations between what people say and their brain activity is not necessarily the same as knowing the cause of what people say. A scientist who observed what I described would be left scratching his or her head and might eventually acknowledge that something more is going on than can be measured with tools made by human hands.