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How Gödel’s Proof Works
His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
The Cartoon Picture of Magnets That Has Transformed Science
One hundred years after it was proposed, the Ising model is used to understand everything from magnets to brains.
Why Gravity Is Not Like the Other Forces
We asked four physicists why gravity stands out among the forces of nature. We got four different answers.
The ‘Useless’ Perspective That Transformed Mathematics
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
In a Single Measure, Invariants Capture the Essence of Math Objects
To distinguish between fundamentally different objects, mathematicians turn to invariants that encode the objects’ essential features.
In Mathematics, It Often Takes a Good Map to Find Answers
Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.
What Other Coronaviruses Tell Us About SARS-CoV-2
As COVID-19 cases continue to increase, our extensive knowledge of other coronaviruses informs our understanding.
Why Are Black Holes So Bright?
And why is the black hole at the center of our own galaxy so dim?
The Animal Origins of Coronavirus and Flu
Zoonotic diseases like influenza and many coronaviruses start out in animals, but their biological machinery often enables them to jump to humans.