The rise of artificial intelligence has pushed mathematics to a crisis point. In our latest video, we speak with Terence Tao, one of the world’s top mathematicians and author of Six Maths Essentials, to diagnose the state of the field right now and explore if it has a future even in the face of increasing automation.
Why should anyone learn to do maths with a pen and a piece of paper right now? What is the power of abstract thinking and can we afford to lose it? And what is on the research wish list of one of the most prolific and decorated mathematicians of our time? Join us as we take a grand tour of modern mathematics, following one of its best guides through the rapidly changing science. We’ll explore the fundamental character of mathematics research, as well as the principles and questions that guide the field – and how AI can be in discord with them.
Learn more ➤ • Prime Numbers Might Not Be Random After All.
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00:00 – Introduction.
02:03 – The Impact of AI on Mathematics.
04:45 – The Navier-Stokes Problem & AI-Generated Proofs.
10:05 – Mathematical Models vs. Real-World Reality.
15:00 – The Value and Power of Abstraction.
18:20 – The Three Stages of Learning Mathematics.
21:35 – How the Real World & Technology Shape Intuition.
23:48 – The Six Core Branches of Mathematics.
25:17 – AI as a Mathematical Problem: Why Theory Is Lacking.
28:37 – Mathematical Tools Needed to Understand AI
30:45 – AI Risks, Alignment, and Cybersecurity Concerns.
34:08 – An Interdisciplinary Approach to AI Safety.
35:35 – The Twin Prime Conjecture & Other Open Problems.
38:05 – Why Abstract Mathematical Problems Captivate Us.
40:35 – What’s next?