> Whenever I read this anecdote, I want to believe it is largely made up. I don't want to believe that none of these towering intellects (let alone von Neumann himself) didn't instantly recognize the more elegant way to view the problem.
Knowing some bright minds I totally believe it.
Smart people tend to focus (zoom in) on one problem, entirely forgetting about the bigger picture (unless they "take a bath"). I guess von Neumann was likewise. I can totally imagine that he had to do calculations like this on a daily basis when the puzzle was presented to him, so he simply did what he was doing all along without examining the puzzle from another angle.
Knowing some bright minds I totally believe it.
Smart people tend to focus (zoom in) on one problem, entirely forgetting about the bigger picture (unless they "take a bath"). I guess von Neumann was likewise. I can totally imagine that he had to do calculations like this on a daily basis when the puzzle was presented to him, so he simply did what he was doing all along without examining the puzzle from another angle.