axiomatic approach

The axiomatic approach involves starting with a set of basic, accepted principles or assumptions—called axioms—that are assumed to be true without proof. From these foundational truths, logical reasoning is used to derive further principles, theories, or results. This method ensures that complex systems or concepts are built consistently and transparently, because every conclusion follows logically from the initial axioms. It’s commonly used in mathematics and philosophy to establish clear, reliable frameworks for understanding or solving problems based on minimal, well-defined starting points.