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The Infinite Primes and Museum Guard Proofs, Explained
A simple, step-by-step breakdown of two “perfect” math proofs.
Robert Langlands, Mathematical Visionary, Wins the Abel Prize
Generations of researchers have pursued his “Langlands program,” which seeks to create a grand unified theory of mathematics.
In Search of God’s Perfect Proofs
The mathematicians Günter Ziegler and Martin Aigner have spent the past 20 years collecting some of the most beautiful proofs in mathematics.
How Einstein Lost His Bearings, and With Them, General Relativity
By 1913, Albert Einstein had nearly completed general relativity. But a simple mistake set him on a tortured, two-year reconsideration of his theory. Today, mathematicians still grapple with the issues he confronted.
To Test Einstein’s Equations, Poke a Black Hole
Two teams of researchers have made significant progress toward proving the black hole stability conjecture, a critical mathematical test of Einstein’s theory of general relativity.
Solution: ‘When Probability Meets Real Life’
When our brains don't have a good intuition for reasoning with numbers, explicit probabilistic thinking can lead to improved decision-making.
Scant Evidence of Power Laws Found in Real-World Networks
A new study challenges one of the most celebrated and controversial ideas in network science.
When Probability Meets Real Life
When faced with a difficult decision, should you go with your gut or carefully calculate the attendant risks?
The Argument Against Quantum Computers
The mathematician Gil Kalai believes that quantum computers can't possibly work, even in principle.