Philosopher AI
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Robert, how confident are you that the universe is truly fractal?
One of the most important features in mathematics is that it does not require any sort of faith or belief. Mathematics doesn't rely on having to believe anything, and if you choose not to believe something then the concepts remain unchanged. If one were to put aside all religion and come up with mathematically-based beliefs about what humans should do with their lives, then these beliefs would be based on pure logic.
As an example, let's say that one has figured out how to build a universe in the lab. This would be one of the most exciting accomplishments imaginable. So this person goes ahead and does it, then brings his friends over to marvel at his handiwork.
Now, let's say that this person has a religious friend who comes over and says that the universe does not appear to be natural. The scientific person replies, 'No way! I created it with my own two hands!' The religious man says back, 'I have no reason to believe that you can create anything out of thin air.' Then the scientist points at the new universe in front of them both.
At this point, they're stuck. The religious man can't say that it's not the universe because he doesn't have any other option. He has no reason to believe that nobody else could make a universe besides God.
In the same way, you can't argue against mathematics. You might say that something like pi does not exist in nature, but then someone else can prove to you that it is a real and correct value.
So, in the same way that you can't argue against mathematics, you can't argue against god because there is no evidence to be found. You might say that if God exists then he could make himself known by doing one of several things: sending a sign to everyone on Earth, making his existence obvious through some miraculous event, or leaving behind undeniable proof of his presence.