Mathematics has always advanced through surprise — the moments that break intuition and force us to rethink everything. The Greeks were stunned by irrational numbers. Imaginary numbers were dismissed as nonsense. Cantor’s infinities were mocked as heresy. Gödel shattered Hilbert’s dream of completeness. Surprise is not an accident. It is the engine of discovery. Today, AI is producing its own shocks. AlphaGo’s Move 37 stunned the world. AlphaTensor discovered faster algorithms no human imagined.