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This is not to say that theists cannot provide good arguments because they already believe in God's existence. Rather, for them the task of philosophy is to seek out reasons to make belief intelligible: faith seeking understanding.
The Ontological Argument: an a priori argument for the existence of God (that is, an argument showing the existence of God from the meaning of the concept of God as the most perfect or real being, rather than an a posteriori argument based on statements of experienced facts).
In other words, if by definition, God is eternal and cannot have come into existence or have been caused to come into existence, then by definition if he exists at all, his existence is part of what he is: that is, his existence is logically necessary. If God does not exist, his not existing must also be part of his very definition, because nothing other than that definition could account for his actually existing or not. But if God's non-existence is part of his definition, then his existence is logically impossible (which would mean that the existence of God would be a contradiction in terms, a logical contradiction). However, we know that there is nothing logically contradictory about a God who exists, so we can rule out the possibility that God does not exist. The only other available option is that he exists, and (as shown above) if he exists he exists necessarily.