A mathematician on how to get the mind into motion.
Terence Tao – Kepler, Newton, and the true nature of mathematical discovery
“And what those stories teach us about how AI will revolutionize math”
AI That Evolves in the Wild | Edge.org
I’m interested not in domesticated AI—the stuff that people are trying to sell. I'm interested in wild AI—AI that evolves in the wild. I’m a naturalist, so that’s the interesting thing to me. Thirty-four years ago there was a meeting just like this in which Stanislaw Ulam said to everybody in the room—they’re all mathematicians—"What makes you so sure that mathematical logic corresponds to the way we think?" It’s a higher-level symptom. It’s not how the brain works. All those guys knew fully well that the brain was not fundamentally logical.
The Edge of Mathematics
Terence Tao, the legendary mathematician, explains the promise of generative AI.
Cultivating a state of mind where new ideas are born
Solitary work, creativity and larval ideas
The AI Revolution in Math Has Arrived | Quanta Magazine
AI is being used to prove new results at a rapid pace. Mathematicians think this is just the beginning.
Prof. Judy Fan: Cognitive Tools for Making the Invisible Visible
Prof. Judy Fan: Cognitive Tools for Making the Invisible Visible
The Mind-Expanding Ideas of Andy Clark
The tools we use to help us think—from language to smartphones—may be part of thought itself.
Mathematical methods and human thought in the age of AI
Artificial intelligence (AI) is the name popularly given to a broad spectrum of computer tools designed to perform increasingly complex cognitive tasks, including many that used to solely be the province of humans. As these tools become exponentially sophisticated and pervasive, the justifications for their rapid development and integration into society are frequently called into question, particularly as they consume finite resources and pose existential risks to the livelihoods of those skilled individuals they appear to replace. In this paper, we consider the rapidly evolving impact of AI to the traditional questions of philosophy with an emphasis on its application in mathematics and on the broader real-world outcomes of its more general use. We assert that artificial intelligence is a natural evolution of human tools developed throughout history to facilitate the creation, organization, and dissemination of ideas, and argue that it is paramount that the development and application of AI remain fundamentally human-centered. With an eye toward innovating solutions to meet human needs, enhancing the human quality of life and expanding the capacity for human thought and understanding, we propose a pathway to integrating AI into our most challenging and intellectually rigorous fields to the benefit of all humankind.
Meet Pebble Index 01 - External Memory For Your Brain
Catch your best ideas before they slip through your fingers Do you ever have flashes of insight or an idea worth remembering? This happens to me 5 10 times e...
Thoughts on thinking | Hacker News
The process of forming expressions just is the process of conceptual and rational articulation (as per Brandom). Those who misunderstand this -- believing that concepts are ready made, then encoded and decoded from permutations of tokens, or, worse, who have no room to think of reasoning or conceptualization at all -- they will be automated away.
Saw this metaphor by Terence Tao floating around about one of the drawbacks of using AI to solve hard math problems, and kind of have the same feeling for “vibe science” or “fully automated science” line of research in #AI4Science. theatlantic.com/technology/2026/02/ai-math-te… #ScAISci
