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Cryptographers Show That AI Protections Will Always Have Holes

December 10, 2025

Large language models such as ChatGPT come with filters to keep certain info from getting out. A new mathematical argument shows that systems like this can never be completely safe.

‘Reverse Mathematics’ Illuminates Why Hard Problems Are Hard

December 1, 2025

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent.

A New Bridge Links the Strange Math of Infinity to Computer Science

November 21, 2025

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

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To Have Machines Make Math Proofs, Turn Them Into a Puzzle

November 10, 2025

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His proofs have been called “disgusting,” but they go beyond what any human can do.

In a First, AI Models Analyze Language As Well As a Human Expert

October 31, 2025

If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities?

The Game Theory of How Algorithms Can Drive Up Prices

October 22, 2025

Recent findings reveal that even simple pricing algorithms can make things more expensive.

Researchers Discover the Optimal Way To Optimize

October 13, 2025

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.

How One AI Model Creates a Physical Intuition of Its Environment

October 3, 2025

The V-JEPA system uses ordinary videos to understand the physics of the real world.

To Understand AI, Watch How It Evolves

September 24, 2025

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they do.