The question about evidence for supernatural causes seems unfair when as soon as evidence is supplied the effect is no longer called supernatural.
For instance, when Genesis says God created the Plant kingdom through Spontaneous Generation of life on Earth, the science person will simply define that as Biogenesis and supply the information that explains the theory along the lines og Urey/Miller.
I see Supernatural as anything we can not yet demoinstrate to have a Cause and Effect relationship, like a Quantum Jump, Quantum Entanglement, or the collapse of the wave function by mere observation, etc.
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