AI just cracked a mathematical conjecture that had stayed open for decades. It found the counterexample — and still couldn’t tell us why it was true.
Marcus du Sautoy is a professor of mathematics at Oxford and the Simonyi Professor for the Public Understanding of Science. He spends his life on the line between what machines can do and what only people can.
In this conversation he gives you a working definition of creativity — three specific types, in order of difficulty — and then shows exactly which two AI has already taken and which one it still can’t reach. Along the way: why AlphaGo’s Move 37 counts as genuine machine creativity and deserves the credit over its programmers, and why the human edge turns out to be something nobody puts on a résumé. We’re lazy. AI isn’t. That’s the whole advantage.
What you’ll learn:
– The three-type framework for classifying any creative act, and which two AI already does well
– Why finding a counterexample and proving why are different jobs, and which one is still yours
– The local maximum test for spotting when your whole field is stuck on a false summit
– How to tell genuine machine creativity apart from the programmer’s creativity
– The laziness heuristic: use your refusal to do the donkey work as a shortcut detector
– The one behavior from an AI that would signal real intention, not statistics
00:00 Intro
01:35 The Three Levels of Creativity
02:41 Why mathematics is closer to fiction than to science
04:37 Type 1: Exploratory creativity
05:15 Type 2: Combinational creativity
05:44 Type 3: Transformational creativity
06:40 How Creative is AI in 2026, Actually?
06:58 AI cracked a decades-old conjecture
07:47 AI is a digital telescope, not an artificial brain
08:20 Move 37: the move every expert called a mistake
09:31 The local maximum problem
10:09 Why the credit belongs to the AI, not the coder
10:52 The one signal that would mean there’s a ghost in the machine
11:25 What Only Humans Can Do
12:35 Gauss as a schoolboy, and the birth of the algorithm
14:07 Why AI never bothers to find the shortcut
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