I once actually won an argument over nuclear power. Rare. Usually you can marshal every fact in the universe. . . makes no difference. As the saying goes "One convinced against their will/Is of the same opinion still."
In this case, however, I pointed out that over 400,000 deaths per year are attributed to the air-pollution problems from fossil-burning power plants. I closed my argument with "So the normal operation of fossil-burning power plants kills more people every week than the "disasters" at Three Mile Island and Chernobyl put together (this was before Fukushima)."
To my surprise, a couple of days later my interlocutor came to me and said "I can't get that out of my mind, and I'm re-thinking nuclear." I commended her for her open-mindedness.