A reading journey · New editorial arrangement · 18 October 2026
Can AI help us find genuinely new ideas?
Knowing more is not the same as seeing differently. Begin with the proposal that an AI mathematician must change representations, not merely search harder. Then ask how imagination can be joined to proof and action. The Banditos story offers an optional alternative experience of this problem. These are proposals, not demonstrations of a solved architecture.
Curated reading order · Editorial · 18 October 2026. Dates identify the original publications.
01
How to Build an AI Mathematician →December 8, 2025 · research proposal
Changing representation opens new possibilities; the next essay asks how generation can be joined to explicit checking and execution.
Inspect the original passages
Editorial comparison · 18 October 2026
Why read these together
Changing representation opens new possibilities; the next essay asks how generation can be joined to explicit checking and execution.
An AI mathematician must search across representation spaces, not just within them.
How to Build an AI Mathematician ↗
December 8, 2025 · research proposalThe second mind is Proof. In mathematics, proof is not “explaining.” Proof is a contract with reality: every step either follows or it doesn’t. In decision systems, the analog is verification under constraints: feasibility, invariants, safety envelopes, “this will not break when the world is adversarial.” This is the mind that asks for receipts. It is slower in the sense that it is more expensive per guarantee; it searches, checks, cross-examines. It is the difference between a clever guess and a trustworthy result.
The Three Minds of the Machine — Why the Future of AI isn’t Intelligence... It’s Insight ↗
January 9, 2026 · research proposal and synthesis02
The Three Minds of the Machine — Why the Future of AI isn’t Intelligence... It’s Insight →January 9, 2026 · research proposal and synthesis
Optional ways into the question
Optional story · Fiction
1. The Day Dopamine Broke Into the Machine →Choose the complete eight-episode story as an alternative route, in its authored order. Do not require it between the two direct arguments.
December 5, 2025 · Episode 1 in the same story
Optional story · Fiction
7. A Proposal: Give AI Its Banditos →Preview the computational proposal with orientation and a link to the full story; this companion is optional and is not independent corroboration.
December 5, 2025 · Episode 7 in the same story
Optional companion
Bridging Mathematics and Logistics – The World Model Analogy →A shorter world-model introduction; it is substantially reused within Three Minds, so this is an alternative entry rather than an independent corroboration.
January 5, 2026
Optional companion
The Mad Hatters of Change: AI’s Wild Ride with Us →Design fiction changes the frame of organizational decisions, not only mathematical search.
May 2024 · First edition
Optional companion
The Theorem Does Not Care →The new Aquia essay asks who can investigate, learn from and gain access to AI-assisted discovery.
18 October 2026
An earlier, longer arrangement · Optional
Another opening into the question
Where do unfamiliar ideas come from—and how do we keep the good ones from turning into beautiful nonsense?
A good mind learns. A young mind leaps.Neural Banditos: A Multi-Armed Quest for the Shape of Thought
What makes a leap useful, rather than merely surprising?
Stop 1 of 6
Notice the walls of the familiar.
The Tyranny of the Algorithm section questions personalization that narrows a person’s experience.
Read the complete original: Echoes of Tomorrow: AI and Humans in Unison ↗Silicon Soulmate · First edition May 2024
Another way into the question
Beyond Silicon: The Quest for AI's Emotional Quotient · The earlier emotional-design essay shows why such familiar, responsive interfaces are attractive.
The later culture essay scales this concern from one person to the supply of original ideas.
Stop 2 of 6
Look outside the model.
The Hidden Synchrony argues that art and culture supply metaphors that can precede engineering choices.
Read the complete original: The Hidden Synchrony: When Culture Hints at Tomorrow Before AI Builds It ↗November 17, 2025
Who selects those metaphors, and what changes when they become a business plan?
Stop 3 of 6
Follow an idea through its reader.
This explicit follow-up describes founders as interpreters who can discard a story’s warnings while carrying its imagery into technology.
Read the complete original: The Founder's Library: How Sci-Fi Blueprints Became Silicon Valley's Business Plans ↗November 19, 2025
Another way into the question
The Mad Hatters of Change: AI’s Wild Ride with Us · TimeLoop explains design fiction as a method; it must stay visibly distinct from prediction.
Now enter a deliberately fictional story whose metaphors are made visible.
Stop 4 of 6
Meet the troublemaker, the sheriff and the cartographer.
All eight Neural Banditos episodes make exploration, stability and attention memorable through comic fiction.
Read the complete original: Neural Banditos: A Multi-Armed Quest for the Shape of Thought ↗December 5, 2025
The next essay turns the analogy into a proposed architecture that can be questioned.
Stop 5 of 6
Change the map, then check the result.
The AI Mathematician proposal connects representation changes, concept generation and proof checking.
Read the complete original: How to Build an AI Mathematician ↗December 8, 2025
Another way into the question
The AGI Puzzle: Unmasking Hidden Affordances and Signifiers · The earlier AGI Puzzle connects intelligence to hidden signifiers and the questions people have not yet imagined.
The next piece carries the same structural question into a different domain.
Stop 6 of 6
Try the idea somewhere else.
The mathematics/logistics analogy asks when to keep improving a plan and when to change its representation.
Read the complete original: Bridging Mathematics and Logistics – The World Model Analogy ↗January 5, 2026
Another way into the question
The Three Minds of the Machine — Why the Future of AI isn’t Intelligence... It’s Insight · The longer later work develops Imagination, Proof, Execution and the Living Twin.
The Answer Factory · A later check on the entire journey: breadth supplies possibilities, depth tests whether they hold.
End by asking what survives the analogy and what must be tested in the new domain.