That's the usual argument when most atheists explain that the universe is older than 10,000 years old and the current theory of existence needs a Big Bang, which has some proof to support it (the universe expanding, which means it must have expanded outwards from something). Matter spontaneously appearing out of nowhere. The next question is obviously "Where did that matter come from", and that answer tends to be "God".

Science however covers for matter appearing out of nowhere even in our universe, just not in quantifiable quantities, so we just have to figure out why that is. And I won't accept "GOD!" for an answer, I'm afraid.

Your argument doesn't cover God being born at all either. It just makes an excuse for how he exists, and how he's responsible for creating everything, not how he got there in the first place.

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