It's not hard to predict how eagerly the new atheists would pounce if an orthodox Christian theologian were to concede that the notion that God is three-in-one could be labeled "irrational." Or that the doctrine of the Trinity is so far beyond our normal ways of thinking that one might refer to the three persons of the Godhead as "imaginary." Yet mathematicians quite unapologetically speak of "imaginary" and "irrational" numbers. Moreover, they are content to assume that if others think they have thereby lapsed into nonsense, so much the worse for them.

At the heart of Daniel J. Cohen's welcome and informative book, Equations from God: Pure Mathematics and Victorian Faith, is an account of how in the middle of the 19th century, leading Anglo-American mathematicians were convinced that their discipline bolstered belief in God. One such figure was Benjamin Peirce, the Harvard professor who is sometimes referred to as the father of pure mathematics in America. (He was also the father of Charles Sanders Peirce, the eminent philosopher and polymath.) In a charming recounting of his life and thought, Cohen observes that "a fascination with imaginary quantities seized Peirce as a child." (Peirce's son recollected that his father had a "superstitious reverence for the square root of minus one.")

Peirce was thoroughly imbued with the conviction that his discipline revealed the Almighty and his thoughts. He observed that mathematics should be seen as akin to the burning bush: a source of divine revelation that was continuous rather than consumed. In his lectures, after emerging triumphantly from an involved mathematical demonstration, Professor Peirce was known suddenly to pronounce, "Gentlemen, there must be a God!" Did I mention he was in dead earnest?

One of Peirce's friends was Thomas Hill, president of Harvard for most of the 1860s. Hill's conversion to this way of thinking came while meditating on Euclid one lazy summer day: "Pondering geometrical postulates, the empiricist ...

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