Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.
Four Years On, New Experiment Sees No Sign of “Cosmic Dawn”
When astronomers tried to confirm a signal from the birth of the first stars after the Big Bang, they saw nothing.
How the Physics of Resonance Shapes Reality
The same phenomenon by which an opera singer can shatter a wineglass also underlies the very existence of subatomic particles.