Einstein once said, “Two things are infinite: the universe and human stupidity; and I'm not sure about the universe.” While it may sound condescending, it is certainly true. It is the reason that things like nuclear power, fuel reprocessing, and Yucca Mountain exist, and it is the reason that nuclear power isn't safe.
The design, construction, operation, and oversight of a nuclear power plant involves the skill and cooperation of literally thousands of people. Often, a single person is in a position to turn a safely operating power plant into a radioactive wasteland.
You can never account for every possible instance of human stupidity. You can spend years designing a power plant, only to have some construction worker build it wrong. That's what happened at Mihama-2 PWR in 1991. Misplaced supports led to the rupture of a steam generator tube and a radioactive release.
You could design a system for an auxiliary pump to access the steam generator, only for a maintenance worker to accidentally leave it closed. Even if you put a warning light on the control board to indicate this very thing, someone might cover it with a label. It happened at Three Mile Island.
The point is, whether it's stupid design (the Windscale fire), stupid operators (the SL-1 incident), or stupid everything (Chernobyl), it has been proven over and over that humanity is too stupid to have anything to do with nuclear power.