Does God Exist?

After years of students shying away from this question, suddenly this semester my students are really eager to debate this question!  My own response:  this question is meaningless until you explain what you mean by "God."

In other words, one person could answer the question "yes," and another person could answer it "no," but if you look into their respective definitions of "God," you may find that those two people actually agree with each other! Thus, I believe that the far more interesting question is:  What does the word "God" mean?