I think some questions which lie in the realm of philosophy and religion can't be answered by science. I would list these questions as ones like the following: 1. Does God exist (or not exist?) 2. What is the right way to live your life? 3. What moral rules should we live by? 4. What is the meaning of life? 5. What is justice? Science of course, can shed light on these questions. Science for example, certainly rules out some theories about how God is supposed to act in the universe (creationism for example does not work). Any respectable philosopher considering these questions has to factor science into any philosophical question, as would a jurist dealing with (5). A theologian also can't afford to ignore science either. But I don't think science is so omnicompetent it can give us the final answer to every question posed by disciplines non-scientific in nature, like philosophy or art.