Ask them, Have you ever seen a circle? They respond that they haveYou mean youve seen a set of points of no dimension, equidistant from a given point, on a plane of infinitesimal thinness? Well, no, not when it is put that way, theyve never seen one of those.

So youve never seen a circle?

Um, no, I guess not.

In fact, you could never see a circle, because circles are not material objects.

I guess not.

But you know things about circles.

How can I know things about circles, if Ive never see one?

Good question. But you do: You know that the ratio of the circumference to the diameter is a number called *pi.*

* *Yes, 3.14.

Well, actually the number is the limit of any of infinite series. But would you say that *pi* exists, and that people discovered what it was, or that *pi *didnt exist until someone invented it, and that, if there were not human beings, there would be no such thing as *pi*? Be careful: *pi* shows up in equations dealing with electrical current, number theory, the probabilities of coin tosses, you name it. Was *pi* discovered, or was it only invented?

At this point they are trapped. They will say what any mathematician without a philosophical ax to grind will say. They will say what Archimedes said when he discovered the law of displacement of fluid. They say that *pi* was discovered.

Then *pi* exists?

Yes."

But *pi* is not material.

No.

Then at least one immaterial object exists, namely *pi*.

Yes.

How can an immaterial object evolve?

*The fool says in his heart, There is no God."* (Psa. 14:1a)

*In the beginning God *(Gen. 1:1a) (See Job 38:4-11; Jn. 1:1-3; Col. 1:15-18)* *

1 Adapted from * Pi in the Sky*, Anthony Esolen, Touchstone Magazine, July/August, 2004, page 28

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