Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

Dunning explores how mathematical notation is a social, world-building technology. It’s natural to think of math as being fundamentally abstract. Whether it’s invented or discovered, its truths are so ...

Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

Whether it’s automating tedious coding tasks, solving complex logic puzzles, or even weighing in on ethical dilemmas, AI tools like OpenAI’s o3-Mini promise to make our lives easier. But let’s be ...