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Pierre de Fermat

The seventeenth-century French magistrate who co-founded probability theory, pioneered modern number theory, discovered that nature optimizes—and left a margin note claiming a proof he almost certainly never had, making him the patron saint of the confident conjecture and the indispensable witness to AI’s deepest failure mode.
Pierre de Fermat was a provincial judge who reshaped mathematics in his spare hours and communicated mostly through taunts hurled at rival mathematicians across Europe, almost never bothering to prove his claims. He died in 1665, the most productive amateur in the history of mathematics. His marginal note—claiming a “truly marvelous proof” of what became known as Fermat’s Last Theorem that the margin was too narrow to contain—became the most expensive sentence in the history of thought, consuming three and a half centuries of mathematical labor before Andrew Wiles settled it in 1994. The note is the perfect specimen of a cognitive event that now occurs billions of times a day: the confident claim unbacked by the demonstration that would warrant the confidence. Fermat is the patron saint of the confident conjecture, and the machines that now fill the world with fluent, assured claims they cannot prove are
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