Quoting Donald Knuth

2026-03-03 · Source: Simon Willison's Weblog · Field: Technology & Digital — Artificial Intelligence & Machine Learning · Depth: Fundamental Awareness, quick

Summary

Donald Knuth reported on March 3, 2026, that Anthropic's Claude Opus 4.6, a hybrid reasoning model released three weeks prior, had solved an open problem he had been working on for several weeks. Knuth expressed surprise and joy at this development, noting that it would necessitate a revision of his views on "generative AI." He celebrated this as a significant advance in automatic deduction and creative problem-solving, highlighting both the elegant solution to his conjecture and the model's capabilities.

Key takeaway

For AI Scientists evaluating the frontier of automated reasoning, Knuth's experience with Claude Opus 4.6 suggests a critical re-evaluation of current generative AI capabilities. You should consider integrating advanced hybrid reasoning models into your research workflows to tackle previously intractable problems, potentially accelerating discovery and validating conjectures.

Key insights

Claude Opus 4.6 demonstrated advanced automatic deduction by solving a complex open problem.

Principles

• AI models can solve long-standing open problems.
• Hybrid reasoning models advance automatic deduction.

In practice

• Evaluate advanced AI for complex problem-solving.
• Re-assess AI capabilities in research contexts.

Topics

• Claude Opus 4.6
• Generative AI
• Automatic Deduction
• Creative Problem Solving
• Hybrid Reasoning Models

Best for: AI Scientist, AI Researcher, Research Scientist

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Editorial summary, takeaway, and curation by AIssential. Original article published by Simon Willison's Weblog.