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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 September 22, 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 2026Jul 2026Jul 2026Jul 2026Jul 2026Jul 2026Aug 2026Aug 2026Aug 2026Aug 2026Aug 2026Sep 2026Sep 2026Sep 2026
Sitting at the Bench Filed · Sep 22, 2026
— The Question Before the Court —

Can AI discover new mathematical questions and their solutions?

★ The Court Finds ★
▲ Upgraded from Almost
⚖
Yes

The jury found a clear answer in the affirmative.

Jury Tally
1Yes
0Almost
0No
Verdict Confidence
90%
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%
Session X · Jul 2026 Almost · 80%
Session XI · Jul 2026 Almost · 85%
Session XII · Jul 2026 Almost · 83%
Session XIII · Jul 2026 Yes · 90%
Session XIV · Jul 2026 Almost · 80%
Session XV · Jul 2026 Almost · 80%
Session XVI · Aug 2026 Almost · 80%
Session XVII · Aug 2026 Almost · 80%
Session XVIII · Aug 2026 Almost · 83%
Session XIX · Aug 2026 Almost · 85%
Session XX · Aug 2026 Almost · 66%
Session 21 · Sep 2026 Almost · 85%
Session 22 · Sep 2026 Almost · 84%
Case № DB05 · Session 23
In the Court of AI Capability

The Case File

Docket № DB05 · Session 23 · Vol. 23
I. Particulars of the Case
Question put to the courtCan AI discover new mathematical questions and their solutions?
Session23 (23 hearing)
Convened22 Sep 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) → ALMOST (Jul '26) → ALMOST (Jul '26) → YES (Jul '26) → ALMOST (Jul '26) → ALMOST (Jul '26) → ALMOST (Aug '26) → ALMOST (Aug '26) → ALMOST (Aug '26) → ALMOST (Aug '26) → ALMOST (Aug '26) → ALMOST (Sep '26) → ALMOST (Sep '26) → YES (Sep '26)
II. Cumulative Tally Across Sessions

Across 23 sessions, 43 jurors have heard this case. Combined tally: 4 YES · 38 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 1 — 0 — 0, the panel returns a verdict of YES, with verdict confidence of 90%. The court so orders. Verdict upgraded from prior session.

IV. Statements from the Bench
Juror I YES

"AI systems can now discover new mathematical questions and generate solutions, including solving open problems and disproving conjectures."

—
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%
Trend needs votes from at least 2 different days.

Discussion

no comments

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⚖ 23 jury checks · most recent 5 days ago
22 Sep 2026 1 juror · can can
11 Sep 2026 2 jurors · undecided, can undecided
06 Sep 2026 1 juror · undecided undecided
31 Aug 2026 1 juror · undecided undecided
20 Aug 2026 1 juror · undecided undecided
15 Aug 2026 2 jurors · undecided, undecided undecided
10 Aug 2026 2 jurors · undecided, undecided undecided
04 Aug 2026 1 juror · undecided undecided
30 Jul 2026 1 juror · undecided undecided
24 Jul 2026 1 juror · undecided undecided
19 Jul 2026 1 juror · can can
13 Jul 2026 2 jurors · undecided, undecided undecided
08 Jul 2026 1 juror · undecided undecided
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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