I've taken an introductory class in the philosophy of religion and I've read

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I've taken an introductory class in the philosophy of religion and I've read some introductory materials about it on the internet. I'm sort of disappointed with the kinds of questions that are considered central to the philosophy of religion because it seems like other questions can be just as central but they aren't mentioned. One of the central questions of the philosophy of religion is whether or not God existence can be proved. While that is undoubtedly an important question "proof" seems to be a high standard even in philosophy and a "succinct" proof that can be written in a formulaic manner is an even higher standard. If you want to argue whether or not Bill Gates is a good man it isn't necessary to prove his existence. You can however attempt to characterize his behavior within a context and from that attempt to evaluate whether he is a good or a bad person. Should not the philosophy of religion, for at least some important strands of religious thinking, work in a similar vein? That is it would involve an empirical and philosophical effort to consider whether or not the world can be evaluated in terms of the existence of some form of deity. This is already done with efforts to disprove the existence of God in the form of the "problem of evil." (Although that has a very succinct persuasive power)