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I'm not worried about another Chernobyl. We've had one already, all reactor designs have been tested over and over again to avoid a repeat. The real risk is in all the small and seemingly insignificant things working together in unexpected ways. There will always be a nonzero chance of an incident, and due to the nature of nuclear reactors the impact of an incident is essentially unlimited.
Think of it like commercial airliners. Are they safe? Yes, absolutely. They are the safest method of travel available. I have zero worry about my safety when stepping on an airplane. But despite the tiny odds airplanes do crash from time to time, simply because there are so many of them.
An airplane crash has a smouldering crater and a few hundred dead as its result. Not great, but not terrible either: as a society we build a monument and move on. Would we still be flying airplanes if - no matter how unlikely - a crash meant that an entire city would become uninhabitable?
