Reverse Mathematics
Mummert, Carl / Dzhafarov, Damir D. Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems. Typical questions include: Can we prove this result without first proving that one? Can a computer solve this problem? A highly active part of mathematical logic and computability theory, the subject offers beautiful results as well as significant foundational insights.
This text provides a modern treatment of reverse mathematics tha...