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The Cosmological Error

The Cosmological Argument, according to William Rowe, depends on the Principle of Sufficient Reason. This creates a problem because the Principle of Sufficient Reason is challengeable. In this paper, I will discuss how this is true.
The Cosmological Argument is an argument for the belief in God. It has three main points. The first states that there are things in the Earth that are going through changes, and that there must exist a being that instigated these changes, that is itself unchanging. Secondly, beings on Earth exist because of other beings, and a single being started it all. This single being's existence was not caused by anything other than itself. Third, there are things on Earth that have no crucial purpose, meaning they may not have needed to be in existence. We could live without these things and not notice. Therefore, there must be some higher being that could not have failed to exist (pg. 2).
The Principle of Sufficient Reason, which supports the Cosmological Argument, has two main parts. The first part states that there must be an explanation for the existence of any being. For example, if someone sees a person walking down the street, there must be an explanation of the fact that this person exists. The second part of the Principle of Sufficient Reason explains the other facts we may state about the man walking down the street. This meaning whether or not he is married, or what he is thinking at that moment in time. It further states that there must be an explanation for any positive facts, anything that can be claimed and turns out to be true (pg. 5)
The first part of the Cosmological Argument is that every being that exists or ever did exist is a dependent being or a self-existent being. I feel that it is hard to come to believe that a being can be self-existent. Self-existent, or explained by itself, to me implies that the only explanation of the beings existence is itself, thus the being created itself. But how can this be true? The...