👉 Decided math refers to the set of mathematical principles and rules that are universally accepted as true within a specific mathematical context, such as number theory or algebra, and serve as the foundation for all subsequent reasoning and proofs. These principles are not merely useful but are considered fundamental truths that cannot be proven false within the system itself. For example, in arithmetic, the statement "for any two integers a and b, a + b = (a + b) mod 1" is decided because it holds true regardless of the specific values of a and b. This universality and non-provability from within the system make decided math crucial for establishing a coherent and consistent framework in mathematics, allowing mathematicians to build complex theories and theorems from these foundational truths.
