Non-Linear Logic is a type of logic that allows for multiple truth values and relationships between propositions, rather than just true or false. It challenges traditional Boolean logic, which operates on a linear framework, by introducing more complex interactions and dependencies among statements. This approach can better model real-world scenarios where information is not always clear-cut. In Non-Linear Logic, the focus is on the connections and context of statements, making it useful in fields like computer science, artificial intelligence, and philosophy. It helps in understanding systems where outcomes depend on various factors, allowing for a more nuanced analysis of reasoning and decision-making processes.