This formulation comes from Scott Sullivan.
1. Dependent beings exist
2. Either dependent beings exist because of an infinite series of other dependent beings or because of an independent being.
3. Not because of infinite series of other dependent beings
4. Therefore because of an independent being which theists call God
The first premise is obviously true. What it means for a being to be dependent is for it to rely on external factors for its existence. My own existence, for example, is dependent on a myriad of conditions including temperature, pressure, air, and so on. The existence of my computer is dependent on the actions of the person (or robot) who manufactured it. Virtually everything we see is dependent on something else — they are effects which result from causes.
Now why does the set of dependent beings exist? Well, there’s really only two alternatives: either they exist because of an infinite series of dependent beings, or they exist because of an independent being who grounds their existence. The first option seems unlikely, because no matter how many dependent beings you have, the whole set remains unexplained.
Suppose I want to borrow a cup of sugar from you. I knock on your door and proceed to ask for some sugar. You respond by saying that while you do not have any sugar, you can get some from your neighbor to give to me. So you go to your neighbor and proceed to ask him for sugar. Unfortunately, your neighbor is also out of sugar, and he directs you to his neighbor to get some sugar. If you keep doing that, then nobody ends up with sugar, because every person in the series must first have it in order to give it. The same is true for the set of dependent beings. Explaining each being in terms of another does not explain why the whole set explains to begin with.
Okay, so maybe an infinite series of dependent beings isn’t sufficient — why can’t the dependent beings cause each other? To illustrate the absurdity of this, assume for a moment that the universe only has two dependent beings — Smith and James. On such an analysis, Smith is the cause of James, and James is the cause of Smith. But this doesn’t make sense. In order for Smith to be the cause of James, Smith must first exist. But then James would have to exist too. Ultimately, they would have to exist before they existed, which is absurd.
Perhaps it commits the fallacy of composition. After all, simply because all members of the set are contingent doesn’t mean that the whole set is contingent. But part-whole reasoning is not always fallacious. For example, if every brick which makes up a wall is red, then the wall as a whole is also red. There is no good reason in this case to treat the whole as if it were different from the parts.
We are thus finally left with an independent being as the ground for the existence of dependent beings. Thus being would himself not require a ground for existence, since he is not a member of the set of dependent beings. This being would also have to be perfect (Immaterial, omnipotent, omniscient, etc..) in all regards, since it is not bound by anything external to itself (Otherwise it would be dependent). And this is what we call God.
Tags: cosmological argument