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 ...

The intersection of machine learning and mathematical logic — spanning computer science, pure mathematics, and statistics — has catalyzed recent advances in artificial intelligence and deep learning ...

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 ...

The term "reasoning" is a familiar metaphor in today's artificial intelligence (AI) technology, often used to describe the verbose outputs generated by so-called reasoning AI models such as OpenAI's ...

What would it take to turn the entire cosmos into software-down to the rules that generate space and time? For decades, the simulation hypothesis has resided comfortably in the gap between philosophy ...