👉 Derived mathematics (Derived Mathematics or DerMath) is a field of mathematics that focuses on the rigorous and formal study of mathematical concepts, definitions, and proofs, often by applying advanced mathematical techniques from other areas to clarify and deepen understanding. It involves translating common mathematical ideas into a more precise, often higher-level language using tools from fields like category theory, homotopy type theory, and higher category theory. This process helps mathematicians uncover new insights, resolve long-standing conjectures, and build a more robust foundation for mathematics by ensuring that every statement is logically sound and well-defined. DerMath bridges the gap between intuitive mathematical understanding and formal rigor, making it a powerful tool for advancing mathematical knowledge.
