Non-axiomatic logics, as explored by Pei Wang, differ from axiomatic systems by acknowledging the insufficiency of knowledge and focusing on learning and adaptation. The scientific method serves as a practical example of non-axiomatic logic. Users have found that searching for "non-axiomatic reasoning system" yields more informative results than simply "non-axiomatic logic." A notable paper by Wang titled "Cognitive Logic versus Mathematical Logic" discusses these concepts, particularly in relation to artificial intelligence. The discussion emphasizes the need for further exploration of Wang's work to understand its distinctions from traditional inductive reasoning.