The Law of Excluded Middle is a fundamental principle in classical logic stating that for any proposition, either that proposition is true, or its negation is true. In simpler terms, it means that a statement must be either true or false, with no middle ground. For example, the statement "It is raining" is either true or false; it cannot be both at the same time.
This law is essential in various fields, including mathematics and computer science, as it helps in constructing logical arguments and proofs. It contrasts with some non-classical logics, such as fuzzy logic, where truth values can exist on a spectrum rather than being strictly binary.