👉 Non-Rigorous Mathematics (NRM) is a broad term used to describe mathematical practices and frameworks that deviate from the strict axiomatic foundations and formal rigor of traditional mathematics. NRM often incorporates intuitive, heuristic, and computational approaches, emphasizing understanding, problem-solving, and practical applications over strict logical proofs. It includes areas like informal mathematics, which focuses on the conceptual and intuitive aspects of numbers and operations without formal proofs, and constructive mathematics, which emphasizes building mathematical objects explicitly rather than relying on non-constructive existence proofs. NRM also encompasses areas like computational mathematics, where algorithms and numerical methods play a central role, and cognitive mathematics, which explores how humans naturally reason about mathematical concepts. While NRM can be incredibly useful for developing intuition and creativity in problem-solving, it is not intended to replace rigorous mathematical practice but rather to complement it by offering alternative perspectives and methodologies.
