Mathematics

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Preparing for Industry in the Age of AI

Im a third-year PhD student, studying probability, who no longer has any interest in pursuing a career in math research or teaching. Unfortunately, this is...

Model by OpenAI discovers 6 more soundess bugs in the Lean kernel

After the soundness bug in the official Lean kernel found a few days ago (previously posted on this sub here https://www.reddit.com/r/math/comments/1va56l7/lean_4_bug_found_incidentally_by_ai_proving/), OpenAI approached Leonardo de...

Do you view pure math as a retreat from reality?

Ive been reflecting a lot lately on why I am more drawn to pure math over applied fields or other sciences. Sometimes, I wonder if...

When the Proof Checker Becomes Part of the Experiment Random Bits of Knowledge

Lean-based mathematical research separates candidate generation from deductive verification. Human mathematicians, tactics, search procedures, and increasingly AI systems may generate proof attempts, while Leans elaborator...