There's a very memetic video clip of Bill O'Reilly, who had invited an atheist activist, David Silverman, to his show in order to have a discussion about religion vs. atheism, where O'Reilly quite (in)famously argued:
"I'll tell you why it's not a scam. In my opinion, all right? Tide goes in, tide goes out. Never a miscommunication. You can't explain that."
He became quite a laughing stock because of his argument primarily because rather obviously we know perfectly well how and why tides work, why they have the timing that they do, and we have known this for literally centuries.
However, most people miss the most important reason why it's an invalid argument. The most important reason is not that he is incorrect in his assertion that "you can't explain that". The most important reason is the implication, the deduction based on that.
Let's assume for the sake of the argument that science, humanity in general, had absolutely no idea why and how tides work. Complete mystery. We have studied and studied it for centuries, and to this day we have absolutely no idea. Science calls it "the great tide anomaly" (similarly to "the Pioneer anomaly" and "the flyby anomaly"). Let's assume that O'Reilly was 100% correct in that "you can't explain that."
What can we deduce from this?
Absolutely nothing, that's what. The only thing that we can deduce from it is that we just don't know. It's a mystery. Our science is not advanced enough to have any explanation. But that's it. That's literally the only thing we can deduce from it.
The main point is that "you can't explain that" is not a valid argument for the existence of God. Or any gods. Or even the supernatural. It's just an unknown. (This kind of fallacious argument actually has a name: Argumentum ad ignorantiam. In other words, "argument from ignorance", or more unambiguously and precisely, "argument from not knowing", ie. "argument from an unknown.")
We could perfectly well substitute the "tides" in O'Reilly's argument with something else that we genuinely don't yet understand. For example:
"I'll tell you why it's not a scam. In my opinion, all right? Mass bends space-time, causing gravity. Never a miscommunication, always works the same way. You can't explain that."
In this case the "you can't explain that" is actually correct. However, we still can't deduce anything from it. It's just that: An unknown. We don't have the technical details behind the phenomenon. We just don't know. But that's all we can deduce.
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