I'll offer a counter anecdote to yours: I was talking to a guy this weekend who had been a serious hang-glider for over a decade when he was younger. Every time a friend would have a problem, he analyzed it and saw that because of the way he operated he wouldn't make the same mistake and could therefore rationalize his continued participation in the sport. Eventually though, he had a problem, he made a mistake, it scared him, but it took fully two years of continuing to fly before he finally worked through it and decided that he could never eliminate enough risk and quit flying.
EDIT: I may have mischaracterized his response and removed "error-free" language and clarified with "eliminate enough risk".
http://publications.americanalpineclub.org/
It's a great supplement to experience,
Austria, Switzerland and Germany have a very long rock climbing history (unsurprisingly), and their respective climbing associations are obsessed about safety.
We engage in that kind of analysis continually, and collectively. Our conversations are like 80% post-mortem, all the time. Somebody gets hurt, the whole community analyses it in minute detail, the pilot writes it up, we watch video of the incidents. We check in with ourselves about whether we would make the mistake, whether we have the knowledge/skill/pre-flight routine to avoid it. Contrary to the other commenter, constant self- and peer- assessment is extremely useful. It's just that the goal isn't to assure ourselves that we won't get hurt. The goal is simply to improve our odds. That's all.
Most of us know multiple pilots who died unexpectedly, sometimes very good pilots in benign conditions. I'd guess every one of us knows someone who broke their back. We're very conscious of the risks, people who think their skill puts them above it are in the minority. We only talk about odds, and increasing our time between incidents. Those few of us who have been unscathed know that we're due. It's worth it. I've seen a paraplegic come back and fly again.
EDIT: Yes, "eliminate enough risk" sounds much more like para-talk to me. My instructor always harped on about high-percentage vs low-percentage decisions. He was downright gleeful about responding to ubiquitous "Is flying safe?" questions by popping catastrophe reels into the DVD player.
* I'm not a paraglider, so apologies if the terminology is off.
In the early chapters of the book The Right Stuff, Tom Wolfe says that this was the normal attitude among test pilots about their brethren who crashed and died. "How could anybody fail to check his hose connections? And how could anybody be in such poor condition as to pass out that quickly from hypoxia? ... One theorem was: There are no accidents and no fatal flaws in the machines; there are only pilots with the Wrong Stuff. (I.e., blind Fate can't kill me.)"
Maybe he's right, but... self-assessments of skills are rarely useful. Survival bias and all that.