👉 Inverse mathematics is a field that seeks to understand the logical foundations of mathematics by analyzing its axioms and theorems through the lens of mathematical logic. It aims to determine which mathematical theories are "necessary" in the sense that they can be derived from a minimal set of axioms, using tools from mathematical logic and set theory. Essentially, it investigates the logical structure and consistency of mathematics, asking which mathematical concepts are indispensable and which can be derived from more basic principles. This approach provides insights into the nature of mathematical truth, the role of axioms, and the limits of formal systems, bridging pure logic and mathematical practice.
