I did see your video about proving the existence of God in YouTube and it is very amazing. My question is the "Cosmological Argument, Ontological argument, etc." have been formulated since the Ancient time and that means Atheist Philosophers(even today) have refuted it. Do Argument for god becomes wrong when it can be refuted?

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The argument does not become wrong. Rather the refutation is a fallacy and wrong. Believers constantly must try to find new ways of explaining such arguments because the other side gets more sophisticated in trying to make their claim. The get creative making fallacies which appear to refute these proofs, so it doesn’t mean that these proofs are wrong. They are still true and correct.