For centuries, people who believe in the different gods that people have adopted have insisted that there are good logical reasons to believe in their particular gods. Logic and science can do nothing to disconfirm the existence of these gods, but at the same time, if an attempt at a logical proof of a god's existence is presented, then the proof can be logically examined to see if it holds water. John Allen Paulos has looked at the proofs and finds them leaky. Paulos is a mathematician who has previously told us how a mathematician plays the stock market or how a mathematician reads the newspaper. Now, in _Irreligion: A Mathematician Explains Why the Arguments for God Just Don't Add Up_, he goes for the big game. His book shows the results of his examination of the question that is the first sentence in his book: "Are there any logical reasons to believe in God?" His book is a review of the ways that religious people have demonstrated to their own satisfaction (but not to his) that the existence of God can be logically derived. He has written before on this sort of theme, but his book is an attempt to deal directly with the "inherent illogic to all of the arguments." Jonathan Swift said, "It is useless to attempt to reason a man out of a thing he was never reasoned into", and Paulos acknowledges this: "I have little problem with those who acknowledge the absence of good arguments for God, but simply maintain a nebulous but steadfast belief in `something more'".
Plenty of the arguments for God's existence here are well known; in fact, they are classics, and have been the subject of discussion and refutation for centuries. They may fortify the faith of those who already believe (although Paulos shows that they are untrustworthy fortifications), but again, already believing is the key. Right off the bat is the First Cause argument, presented in Paulos's summary:
1. Everything has a cause, or perhaps many causes.
2. Nothing is its own cause.
3. Causal chains can't go on forever.
4. So there has to be a first cause.
5. That first cause is God, who therefore exists.
It all seems convincing at first sight, and believers who wish to use this sort of thinking as evidence for their beliefs would be wise not to give it a second look. Paulos explains that a big problem is #1 above, which assumes too much. An alternative #1 is, "Either everything has a cause, or there's something that doesn't," and there isn't any way of getting around the truth of that. If everything has a cause, then God does, too, as does his cause and so on forever; and if there is something that doesn't have a cause, there is no reason that this something has to be elevated into the supernatural, for the physical world itself might be the thing that does not have a cause, and that's an end of the chain.
And so Paulos goes on, through this brisk little book which takes on one supposed proof after another: the Argument from Design, the Anthropic Principle, the Ontological Argument, Pascal's Wager, and more. Each of the chapters, most less then ten pages long, dispatches each would-be proof. Paulos has used more logic and less mathematics here; there are no equations in the book, for instance, although there are dips into pure mathematics when discussing such things as probabilities for Pascal's Wager. There is a good deal of humor and wonderfully clear writing. Nonbelievers are probably already familiar with the arguments for and against God's existence, but some of Paulos's counterarguments are novel and all are expressed in a pithy and easily memorable form. Believers ought to enjoy puzzling out the challenges here, and should have a renewed appreciation for the importance of faith, however lacking logical confirmation, as the foundation of their beliefs.