The Law of Non-Contradiction is a fundamental principle in logic that states a statement cannot be both true and false at the same time in the same context. For example, if we say that a cat is on the mat, it cannot be true that the same cat is not on the mat simultaneously. This law helps maintain clarity and consistency in reasoning. This principle was first articulated by the ancient Greek philosopher Aristotle and is essential in various fields, including mathematics, philosophy, and computer science. It serves as a foundation for logical reasoning, ensuring that arguments and statements are coherent and reliable.