The world's greatest mathematician explains 6 essential concepts of math | Terence Tao

A Big Think full interview in which Tao — who says he has never had a single eureka moment — breaks mathematics down to six essential ideas: numbers, algebra, geometry, probability, analysis, and dynamics. The closing chapter on AI carries his sharpest image: science is a hike toward a waterfall, where getting lost is how you find the other waterfalls, and AI tools ‘can be like helicopters that fly you directly there’ — you arrive efficiently and learn nothing about the trail. His worry is precise: AI can speed up every individual step, ‘but science as a whole may not necessarily accelerate just because every single component gets faster’ — the danger is optimizing the wrong thing.