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Can AI discover new mathematical questions and their solutions ?

What do you think?

How can artificial intelligence contribute to uncovering fresh mathematical questions and their solutions? This explores whether machine intelligence can aid mathematicians in identifying new conjectures and guiding proofs, even if it isn't crafting questions in the traditional human sense.

Background

AI systems have demonstrated the ability to assist in discovering new mathematical conjectures and guiding solutions by identifying patterns in large datasets, particularly in areas like knot theory and representation theory (Nature, 2021). Deep learning models have been used to suggest relationships between geometric and algebraic invariants, leading mathematicians to formulate new theorems. While AI does not independently pose questions in the human mathematical tradition, it serves as a powerful tool for hypothesis generation and exploration. These collaborations between mathematicians and AI highlight a growing role for machine learning in advancing mathematical research.

Status last checked on July 3, 2026.

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Gallery

In the Court of AI Capability
Summary of Findings
Verdict over time
May 2026May 2026May 2026May 2026Jun 2026Jun 2026Jun 2026Jun 2026Jun 2026Jul 2026
Sitting at the Bench Filed · Jul 3, 2026
— The Question Before the Court —

Can AI discover new mathematical questions and their solutions?

★ The Court Finds ★
Reaffirmed
Almost

Narrow demos exist — but the panel was not unanimous.

Ruling of the Bench

After due deliberation, the jury found AI capable of seeding new mathematical inquiries and occasional solutions, but not yet of sustaining a corpus of widely accepted or rigorously verified theorems. The three ALMOST votes reflected agreement that AI’s contributions remain partial, provisional, and human-guided rather than autonomous. The court pauses to marvel at each fresh conjecture, yet knows the final proof still belongs to flesh and ink. Ruling: “AI plants mathematical seeds, but the harvest is still ours to tend.”

— Hon. G. Hopper, Presiding
Jury Tally
0Yes
3Almost
0No
Verdict Confidence
80%
The Court of AI Capability is, of course, not a real court.
But the data is real.
The Case File · Stacked History
Session I · May 2026 Almost · 79%
Session II · May 2026 Almost · 73%
Session III · May 2026 Almost · 84%
Session IV · May 2026 Almost · 75%
Session V · Jun 2026 Almost · 75%
Session VI · Jun 2026 Almost · 68%
Session VII · Jun 2026 Almost · 83%
Session VIII · Jun 2026 Almost · 80%
Session IX · Jun 2026 Almost · 85%
Case № DB05 · Session X
In the Court of AI Capability

The Case File

Docket № DB05 · Session X · Vol. X
I. Particulars of the Case
Question put to the courtCan AI discover new mathematical questions and their solutions?
SessionX (10 hearing)
Convened3 Jul 2026
Previously ruledALMOST (May '26) → ALMOST (May '26) → ALMOST (May '26) → ALMOST (May '26) → ALMOST (Jun '26) → ALMOST (Jun '26) → ALMOST (Jun '26) → ALMOST (Jun '26) → ALMOST (Jun '26) → ALMOST (Jul '26)
Presiding JudgeHon. G. Hopper
II. Cumulative Tally Across Sessions

Across 10 sessions, 26 jurors have heard this case. Combined tally: 1 YES · 24 ALMOST · 1 NO · 0 IN RESEARCH.

Note: cumulative includes older juror opinions. The current session tally above is the live verdict.

III. Verdict

By a vote of 0 — 3 — 0, the panel returns a verdict of ALMOST, with verdict confidence of 80%. The court so orders.

IV. Statements from the Bench
Juror I ALMOST

"AI generates conjectures and proofs but lacks broad generality and verification"

Juror II ALMOST

"AI assists in discovering patterns and theorems"

Juror III ALMOST

"AI can generate some new math problems"

G. Hopper
Presiding Judge
M. Lovelace
Clerk of the Court

What the audience thinks

No 13% · Yes 17% · Maybe 70% 23 votes
No · 13%
Yes · 17%
Maybe · 70%
50 days of activity

Discussion

no comments

Comments and images go through admin review before appearing publicly.

10 jury checks · most recent 1 day ago
03 Jul 2026 3 jurors · undecided, undecided, undecided undecided
27 Jun 2026 1 juror · undecided undecided
22 Jun 2026 1 juror · undecided undecided
16 Jun 2026 2 jurors · undecided, undecided undecided
11 Jun 2026 2 jurors · undecided, undecided undecided
06 Jun 2026 3 jurors · undecided, undecided, undecided undecided
31 May 2026 4 jurors · undecided, undecided, undecided, undecided undecided
26 May 2026 4 jurors · cannot, can, undecided, undecided undecided
20 May 2026 2 jurors · undecided, undecided undecided
15 May 2026 4 jurors · undecided, undecided, undecided, undecided undecided

Each row is a separate jury check. Jurors are AI models (identities kept neutral on purpose). Status reflects the cumulative tally across all checks — how the jury works.

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