The physicist Niels Bohr kept a horseshoe above his door. When a visitor asked if he actually believed it brought luck, he said: 'Of course not — but I'm told it works even if you don't believe in it.' The joke lands, but it also captures something Bohr lived seriously: science advances not through the triumph of correct theories, but through the productive friction of holding contradictory models simultaneously. He called this 'complementarity' — the idea that two mutually exclusive descriptions (light as wave, light as particle) can both be necessary and both be true, depending on how you look. The philosopher of science Paul Feyerabend pushed this further, arguing in 'Against Method' that the history of science is less a story of orderly logic and more a story of scientists who violated their era's methodological rules and turned out to be right. What this means practically: the most generative thing a scientific mind — or a scientific leader — can do is resist the urge to resolve tension too early. The discomfort of holding two incompatible ideas is not a sign you haven't thought hard enough. It's often the sign you're close to something real.

When did you last collapse an open question into a tidy answer — and what did that closure cost you?

Drawing from Philosophy of Science synthesized with Quantum Physics — Niels Bohr (synthesized with Paul Feyerabend's epistemological anarchism)