👉 Consequence math, also known as inverse mathematics or reverse mathematics, is a branch of mathematical logic that seeks to determine the minimal strength of axiomatic systems required to prove specific theorems. It explores which foundational axioms are necessary for proving particular mathematical statements, often by analyzing the logical consequences of these axioms. For example, it might ask whether a given theorem requires stronger or weaker axioms to be provable. This approach helps mathematicians understand the logical underpinnings of their theories, refine axiomatic systems, and identify which results are essential for a given area of mathematics. By doing so, consequence math provides insights into the consistency and independence of mathematical statements, contributing to a deeper understanding of the logical structure of mathematics.
