Can God be logically proved to exist?
First, you must come up with a clear and precise definition of exactly what you mean by God. An atheist’s idea of what is meant by the word ‘God’ may be very different from your own views. Next, you must realize that reality is not decided by logic. Even if you could rigorously prove that God exists it could be that your logical rules do not always preserve truth, that your system of logic is flawed. It could be that your premises are wrong. It could even be that reality is not logically consistent. Logic is a useful tool for analyzing data and inferring what is going on; but if logic and reality disagree, reality wins. The only way to find out what is really going on is to observe it. Besides, Even after centuries of effort, nobody has come up with a watertight logical proof of the existence of God.