Can the Most Abstract Math Make the World a Better Place?
Quanta Magazine • • science
Key Points:
- Applied category theory models real-world systems by representing objects and their relationships, offering a rigorous framework to connect diverse fields such as epidemiology, databases, and quantum mechanics.
- The approach helps avoid category errors—confusing incompatible types like dollars and feet—and provides logical structures that improve model integration and flexibility, though adoption requires significant initial investment.
- Recent developments include the StockFlow software for epidemiological modeling, enabling experts to compose complex disease outbreak models from interconnected categories, with educational efforts underway to promote its use.
- Applied category theory is also being explored for AI safety by building formal models of complex systems, aiming to ensure trustworthy AI operations in critical infrastructures like nuclear plants and power grids.
- Mathematicians like John Baez see potential for category
