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A theorem in limbo shows that QED is not the last word in a mathematical proof
When a top-tier mathematician announced in August that he had proved one of the greatest problems in mathematics, the claim was trumpeted in the New York Times, Nature, Science and the Boston Globe. But that didn’t make the abc conjecture proven. People often think of mathematics as a solitary pursuit, with a written proof as […]
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- Math
Real-life Maxwell’s demon adds fuel to debate about status of the second law
Fight Club had its First Rule (don’t talk about Fight Club). The Transporter enforces Rule Number 1 (never change the deal). And NCIS Special Agent Leroy Jethro Gibbs observes Rule 1 (never mix the suspects together in the same room). Physics has the second law of thermodynamics. It’s weird when you think about it. Movies […]
- Math
A mathematician puts Fermat’s Last Theorem on an axiomatic diet
Fermat’s Last Theorem is so simple to state, but so hard to prove. Though the 350-year-old claim is a straightforward one about integers, the proof that University of Oxford mathematician Andrew Wiles finally created for it nearly two decades ago required almost unimaginably complex theoretical machinery. The proof was a dazzling demonstration of that machinery’s […]
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