👉 Strict mathematical reasoning involves applying rigorous, precise logical steps and definitions to solve problems or prove theorems without relying on intuition or informal explanations. It demands the use of axioms, definitions, and previously established theorems to derive conclusions through deductive reasoning. Each step must be justified by logical rules, ensuring that the conclusion follows necessarily and universally from the premises. This approach is common in fields like pure mathematics, where the focus is on the internal consistency and logical structure of mathematical systems, often without considering practical applications or intuitive understanding.
