In 1637, a French lawyer scribbled a casual note in the margin of a textbook. By 1993, that scribble had driven the world's greatest geniuses to the brink of madness. Pierre de Fermat was not a… | Michael Magri | 10 comments

In 1637, a French lawyer scribbled a casual note in the margin of a textbook. By 1993, that scribble had driven the world's greatest geniuses to the brink of madness. Pierre de Fermat was not a professional mathematician. He was an amateur who enjoyed teasing the experts. He claimed he had proof that the equation xⁿ + yⁿ = zⁿ has no whole number solution when n is greater than 2. Then he wrote the most maddening sentence in history: "I have discovered a truly marvelous demonstration of this proposition that this margin is too narrow to contain." He died without writing it down. For the next 350 years, the hunt for this missing proof consumed lives. Giants like Euler and Legendre tried and failed. The problem became the "Holy Grail" of numbers. It was seductive, simple to state, yet impossibly difficult to solve. By the 20th century, academia had mostly given up. Pursuit of the "Last Theorem" was seen as a sure way to ruin a career. But in 1963, a ten-year-old boy in England found a book about it in his local library. Andrew Wiles stood in the library and knew, with total certainty, that he would be the one to solve it. Thirty years later, he was a professor at Princeton. He decided to do the unthinkable. He dropped everything else. For seven years, Wiles worked in near-total secrecy. He worked in his attic, telling only his wife what he was doing. He abandoned the conference circuit. He stopped publishing routine papers. He risked professional suicide to chase a ghost. He used modern tools that Fermat never dreamed of, linking elliptical curves to modular forms. In June 1993, he finally emerged. He delivered a lecture at Cambridge. The room was packed. Tension filled the air. He wrote his final line on the blackboard and turned to the audience. "I think I'll stop here," he said. The room erupted. It was over. He was a hero. But the celebration was premature. Months later, a colleague found a hole in the logic. A significant error. The proof collapsed. Critics whispered that Wiles had failed just like the rest. The humiliation was global. Wiles retreated back to his attic. He spent another agonized year trying to fix the broken link. He was on the verge of admitting defeat. It was September 1994. He was staring at the papers, ready to quit. Suddenly, he saw it. The error itself was the key. The failure unlocked the final step. It was a moment of pure, elegant clarity. He saw the structure. He saw the connection. He saw the end of the road. Andrew Wiles had done it. He fixed the proof and put the 350-year-old mystery to rest once and for all. He proved that persistence matters more than genius. Sources: Oxford University / The Abel Prize Committee | 10 comments on LinkedIn

How Finland excels in education and quality of life | Judy Thompson posted on the topic | LinkedIn

Finland is the highest academically and quality-of-life ranked country in the world. Two things they do that we don’t: 1) Finnish #education invites #questions. There is no one right answer that is in the teacher’s head and you have to guess what it is or you fail. (That’s what we have - don’t get me started on how we fail at literacy by force-feeding phonics for a non-phonetic language /funedik langwij/ then blaming students when they can’t read.) 2) #Finnish education embraces #mistakes as a valuable part of the #learningprocess. We have mistakes as bad and shameful. (See previous point.) | 33 comments on LinkedIn

“Failure is information—we label it failure, but it’s more like, ‘This didn’t work, and I’m a problem solver, so I’ll try something else.’” bit.ly/2DyNnnR #FailureLearning #EmotionLogic #BrainFunction #SharedFacts

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#FailureLearning "Everything that irritates us about others can lead us to an understanding of ourselves." #CarlJung #Projection #SharedFacts
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In Louisiana, prisons shift toward rehabilitation

For decades, Louisiana incarcerated more people per-capita than anywhere else on Earth, and more than half of the state's inmates are now held in sheriff-run jails. But a major overhaul to Louisiana's criminal justice system is shifting the focus to rehabilitation. Joanne Elgart Jennings has our story, reported in conjunction with Bryn Stole at the New Orleans Advocate and PBS's Independent Lens.

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Harm Reduction Can Help to Heal Law Enforcement's Rift With the Public

Police participation in harm-reduction measures that protect public health and serve communities is a growing good news story. It can also play a part in repairing a battered reputation.

Pacific Standard
Harm Reduction Can Help to Heal Law Enforcement's Rift With the Public

Police participation in harm-reduction measures that protect public health and serve communities is a growing good news story. It can also play a part in repairing a battered reputation.

Pacific Standard
Harm Reduction Can Help to Heal Law Enforcement's Rift With the Public

Police participation in harm-reduction measures that protect public health and serve communities is a growing good news story. It can also play a part in repairing a battered reputation.

Pacific Standard