How do machine learning models do what they do? And are they really “thinking” or “reasoning” the way we understand those things? This is a philosophical question as much as a practical one, but a new ...

Artificial intelligence systems may be good at generating text, recognizing images, and even solving basic math problems—but when it comes to advanced mathematical reasoning, they are hitting a wall.

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...