The universe and all that we perceive derives its existence from something else that exists by its own nature and is accordingly eternal and independent. Since everything we perceive is dependent in some way, then the most rational explanation is that the existence of everything depends on something else that is independent, and therefore eternal. It has to be independent because if it were dependent, it would require an explanation. It also has to be eternal because if it was not eternal—in other words, finite—it would be dependent as finite things require an explanation for their existence.
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