Divide by infinity?

I have been attending some of the weekly sessions of the Truth Project, which is a DVD series produced by Focus on the Family. I was a bit skeptical when I first heard about it, but after watching some of the sessions, I am sold. It contains some well-thought and well-organized foundational material regarding the Scriptures and the concept of Truth. I highly recommend it.

Part of this evening's session was about how God dwells in believers through the Holy Spirit. Believers do not have just a part of God becasue he cannot be divided. His very nature is about oneness. Dr. Tackett on the DVD used the mathematical illustration that when you divide infinity by any number you get infinity, so that is how God can dwell within each believer at the same time. It is truly amazing that God dwells in me through the Holy Spirit!

I started thinking about the mathematical converse. What if you take any number and divide it by infinity? Mathematically this is undefined, but from Calculus, we know that the limit of this approaches zero. Therefore, if we apply mathematics to the spiritual, we could say that if we try to remove (divide) God (infinity) out of anything, we are left with nothing of value.