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Regarding the Cosmological Argument

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Regarding the Cosmological Argument
The goal of the cosmological argument is to support the claim that God exists as the first cause of the universe. According to Nagel, the argument runs as following:
(P1) Every event must have a cause.
(P2) If every event must have a cause, event A must have a cause B, which in turn must have a cause C, and so on.
(P3) There is no end to this backward progression of causes.
(C1) This backward progression of causes will be an infinite series of event.
(P4) An infinite series of events is unintelligible and absurd.
(P5) The existence of the universe does not result from an unintelligible and absurd process.
(P6) The existence of the universe does not result from an infinite series of events.
(C2) The existence of the universe must have a first cause.
(P7) This first cause is God.
(C3) God is the initiator of all change in the universe.
Now I will introduce Nagel’s objection to the cosmological argument. For the sake of argument, Nagel presupposes the cosmological argument’s premise P1 “every event must have a cause” as true. With that in mind, Nagel presents his objection, which I have paraphrased in two parts.
Nagel argues in the first part of his objection that if every event must have a cause, God should also need one for his existence, since there must be something that initially caused God to exist. However, this would again begin the infinite backward progression of causes, since the existence of that which caused God’s existence must have also been caused by something else, and so on. Thus, Nagel attacks P7 (“This first cause is God”) by stating that it does not sufficiently resolve the problem and that P1 (“every event must have a cause”) ultimately leads back to an infinite series of events.
Before Nagel presents the second part of his objection, he anticipates the response “God is self-caused” (Elements of

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