Why Turing welcomed chance in discovery

Ian Turing is remembered as the man who made thinking mechanical—universal machines, halting proofs, crisp bounds on what can and can’t be computed.

- NIGHT OWL ANNA MAE YU LAMENTILLO

But read him closely and a different figure appears: a logician who kept leaving the back door ajar for luck. He didn’t worship randomness as magic. He treated it like a tool in the kit—useful whenever tidy procedures ran out of road.

That attitude began where David Hilbert’s grand dream ended. Kurt G6del showed that no formal system captures all mathematical truths; Turing showed exactly why, by pinning down what a “procedure” is and proving there can be no general one to settle every question. The point wasn’t despair. It was realism. If no fixed method can carry us the whole way, progress will come from hunches, gambles, detours—what Turing called “intuition and ingenuity.” In his essays on artificial intelligence, he didn’t propose a scholastic catechism for thinking; he proposed “child machines,” systems that learn by training, feedback, and yes, chance. Let them make small random moves, see what works, keep it, repeat. It was evolution rendered domestic: not a proof of intelligence, a practice for getting it.

Randomness, in Turing’s world, wasn’t noise to be banished so the signal could shine. It was the spark that got things moving when symmetry and stalemate held everything in place. Anyone who’s ever stared at a proof for hours and then tried something silly—flip the base case, relabel the graph, perturb a parameter—and suddenly found a path forward knows the feeling. Determinism is great when you know the hill you’re climbing. When you don’t, a little roll of the dice beats a noble march into a dead end.