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That's a pretty good premise. Science itself is all about understanding cause and effect. I'm trying to think of an example of an action which occurred with absolutely no cause but I'm coming up short.
And if we cannot come up with an example, what would this prove? We humans have not even come close to observing all the phenomena that have occurred, is occurring, and will occur.
At any rate, I am not aware of an example of anything causing
space or
time to appear, are you? If you can point to an example where a known cause created space and/or time , then that will be a pretty good candidate for whatever caused the universe to exist. Such an example would be illuminating.
Be careful that you do not commit the Fallacy of Composition; that the whole must have the same properties as its parts. Even if it can be established that everthing that exists
within the universe has a cause, it doesn't necessarily mean that the universe itself has a cause.
Also, science is the study of phenomena that exists within the universe. The existence/cause/creation of the universe itself is of such a singular nature that science may not have much to say about it.
At any rate, since the creation of the universe
ex nihilo involves the creation of time and space itself, I don't even know what "cause" would mean in this context.
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The probability that God exists is either 0 or 1.
And if I flip a coin, the probability that it will land heads is either 0 or 1. The probability that the next person to enter this building is over 6 feet tall is either 0 or 1. The probability that it will rain tomorrow is either 0 or 1. Hey, we have completely eliminated the need for statistics!
"Religion is the best business to be in. It's the only one where the customers blame themselves for product failure."
-- Ellis Weiner (quoted on the NAiG message board)