The original version of this story appeared in Quanta Magazine.
Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a mathematician astray. Early evidence might not represent the bigger picture; a statement might seem obvious, only for some hidden subtlety to reveal itself.
Unexpectedly, three mathematicians have now shown that a well-known hypothesis in probability theory called the bunkbed conjecture falls into this category. The conjecture—which is about the different ways you can navigate the mathematical mazes called graphs when they’re stacked on top of each other like bunk beds—seemed natural, even self-evident. “Anything our brain tells us suggests
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