Type theory and homotopy theory have evolved into profoundly interconnected disciplines. Type theory, with its foundations in logic and computer science, provides a formal language for constructing ...

This graphic is part of a special report on consciousness. Read the full feature here. Theorists have proposed many explanations for consciousness. They are startlingly diverse, with different goals, ...

Theoretical physicists use machine-learning algorithms to speed up difficult calculations and eliminate untenable theories—but could they transform what it means to make discoveries? Theoretical ...