with the same success the study refutes the researchers' religious belief in the truth
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Finding evidence is nonsensical if you assume they set everything up perfectly and have never intervened.
That is a stupendously huge "if".
Good luck. I don't know why anyone would spend money on this but... sure, go ahead. Let's go back to the tenth century. WHy not? We burn money are far stupider shit.
The main thing I'm trying to imply is that if Jesus shows up and starts doing miracles constantly, the proof gets pretty simple. Same thing if someone sticks their digital finger into a simulation. Demonstrating the evidence would be pretty straightforward.