[EDIT] everything in this post is discussed by others, more thoroughly, in other threads...
"he refused to believe that the computer could be wrong."
I just watched this for the first time. My opinion is that he didn't "believe" the computer, because he did in fact go to the lake and jumped around and whacked the ice with a pole. I have to assume, based on his high intellect and familiarity with the environment (he didn't just move there from Spain, for example) that those actions would be seen as completely reasonable by other men that were as "smart" as he was, and those same men would have reached the same conclusion that he reached, that it was safe to skate on the ice.
I think I would have preferred that the story had some intervening event between the time the dad told the son it was safe to skate, and the accident, that would have presented a question of "what are the odds of THAT happening?" Maybe a heavy fire engine or something skidded off the road and ended up on the ice and weakened it.
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