Are you seriously thinking that someone is incapable to drive a car if they are not incorrectly convinced that an incorrect math computation is correct?

The large majority of things in life is "impossible to statistically prove". I had no proof that I will not burn my toast for breakfast this morning. Yet I had breakfast without problem AND I did not pretend that "since I've used this toaster 5 times and did not burn a toast, it implies that burning a toast will never occur" (this sentence is incorrect: the observations are compatible with the fact that my setting is very good and reduce the risk of burning the toast very low, but also compatible with another realistic hypothesis: my toaster burn a toast about 1 time over 10, and so far I was just "lucky").

But why would I not make a toast or take my car? I just don't know if it will work or not, but I also don't know if it will not work or yes. You cannot say "if you are not sure of X, you should act as if non-X is sure", because if you set Y=non-X, you will say "if you are not sure of Y, you should act as if non-Y is sure", and you end up saying you should both act as if both X and non-X are sure.

Nobody here is saying nuclear is not a solution (I mean: if you think I'm saying that, you are dead wrong). But it is tiring to see pro-nuclear people making pseudo-scientific claims to entertain their own belief (belief that may turn out to be right). If you are so confident in your belief, just say so: "I know we cannot properly tell that nuclear is 'safer' than X or Y, it does not make any sense to do so, but yet I believe it is still a good option. You are free to disagree with me, but you also have no ground to pretend it is 'less safe' than X or Y, so your position is as legitimate as mine".