Discover possibilities
Neural models can suggest conjectures, candidate constructions, or next proof steps. Search and computation help explore them. A promising pattern is a starting point, not a theorem.
✳ ARTIFICIAL INTELLIGENCE × MATHEMATICS
Intelligence
meets proof.
New ways to discover.
The same need to be certain.
A small introduction to AI for Mathematics — and two memorable domains for what comes next.
FIG. 01THE SEARCH FOR STRUCTURE
Possibility → structure → proofAI / 4 / M
A NAME FOR YOUR NEXT IDEA
The field is open.
So is the conversation.
Building at the intersection of AI and mathematics? These domains are offered for acquisition. Get in touch to discuss either name, or both.
AVAILABLE FOR ACQUISITION
ai4m.us
A concise address for an ambitious idea.Inquire
AVAILABLE FOR ACQUISITION
ai4m.uk
A distinctive home for your next chapter.Inquire
Direct inquiries. A human conversation.domain@yeats.cc
01 / A BRIEF INTRODUCTION
Not just answers.
Better ways to reason.
AI for Mathematics brings machine learning, computational search, and formal reasoning into the mathematician’s toolkit. Their roles are complementary — not interchangeable.
Make reasoning precise
Proof assistants such as Lean express statements and arguments in a formal language. Libraries such as mathlib provide reusable definitions and theorems, so each proof need not start from zero.
Keep the human insight
Mathematicians choose meaningful questions, interpret discoveries, and check that formal statements capture the intended ideas. Faster exploration does not replace mathematical judgment.
02 / FROM INTUITION TO ASSURANCE
ILLUSTRATIVE WORKFLOWA suggestion is
not yet a proof.
Explore three different jobs in a formal mathematics workflow.
NEURAL MODELS + SEARCH
What might be true?
An AI system proposes a conjecture or a candidate proof path. Computation can test examples and find counterexamples, but passing tests does not establish a universal statement.
Output: a candidate worth investigating.
Kernel checking establishes a formal proof relative to its definitions and axioms. It does not by itself confirm that the formalized statement is the one you intended.
03 / GO TO THE SOURCE
A few good starting points.
Primary resources for the curious.
Lean
Meet the open-source language and proof assistant.
mathlib
Explore a community-built library of formalized mathematics.
FunSearch
A research example of language models paired with program evaluation.
Independent informational page. No affiliation with the projects or organizations linked above.