How can you trust quantum mechanics, if you haven’t done the requisite experiments yourself? ... Or how can you trust that the government isn’t putting mind-control drugs into the fruit you buy in the supermarket, etc. etc.
Along these lines, how can we know that God exists? Or Santa, or the Easter Bunny, or the Tooth Fairy. If you were anything like me, you figured out that the latter three were stories that your parents told you when you were young because they were part of your culture. You may have asked the right questions to figure it out or maybe a friend or sibling dropped the bomb and your world kind of unraveled for a bit. You may have needed to push a little farther to see exactly how much of your life up to that point was merely a lie.
When all your friends at school forsake Santa, the first is seen as the smartest of the bunch because he or she figured it out. Yet when someone forsakes God, it is a different story altogether. Anathema. Dissociation of friends and family. What is the difference here? Is it that God really exists and Santa doesn't? How can one make that claim? Scott Aaronson hit on the answer that sounds reasonable to me:
So we’re extremely lucky that science hit on a solution to these problems—the only workable solution, really—back in the 17th century. The solution is to open up every question to scrutiny, discussion, and challenge by any interested person. Assertions gain credibility by surviving public criticism—and that’s just as true in math as it is in experimental sciences. I believe many theorems even though I haven’t checked the proofs myself, because I know that if there were an error, then someone else could’ve made a name for themselves by finding it.
I didn't figure out that God was no different than the Santa Claus, but why? Because everyone else around me believed in God too. Maybe they were Catholic or Presbyterian instead of Mormon, but it's the same God. I didn't figure it out so soon because early on, all my elders believed in God (but not Santa Claus) so it was acceptable (and somewhat expected) for me to believe. If I had been born in Iran, I would no doubt have believed the good word of Islam (one variety or another).
If you move a continent or two over, you will find that their God may not by your God. Since both are making the claim that they are the one and only true God (I mean really, who wants to worship a God that says other gods are cool too), at maximum, only one of them can be true. It is still possible that neither are true. If we take all the gods of humankind and sit them in a room with each other, then use this idea that only one of a pair of them can be true until we have reduced the room to only one god, which god would that be? Then we take it a step further and invite someone into the room that does not recognize that god as his or her God and suddenly there are no gods in the room. Just like with science, we crowd source the best solution by having all interested parties attempt to debunk and find holes in theories, we have used the people from all over the world to show that none of the gods are the one and only true God. What are we left with then? Teapots, flying high in orbit, painted with invisible unicorns.
What are we really left with if nobody can really show that any supernatural power exists? Nature. How do we explain nature? Science. How can we trust in science? Test it again and again. Poke holes in it and disprove it where possible. Every time we tear down a theory or hypothesis, we count down one fewer thing that might be true. As each theory and hypothesis is confirmed by another test, we put one more nail in the coffin of the gods. Because the theories are repeatable and not merely the 'revealed truth' from god, others can experiment and show that they are real. No religion can do the same for their gods or beliefs.
Thus, in science we trust.
Q.E.D.
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