Predicate Logic is a branch of logic that extends propositional logic by dealing with predicates and quantifiers. It allows for more complex statements about objects and their properties, enabling the expression of relationships between different entities. For example, instead of simply stating that 'All humans are mortal,' predicate logic can express this with quantifiers and variables, making it more versatile in formal reasoning. In predicate logic, statements can be broken down into parts, such as subjects and predicates, which can be quantified using terms like 'for all' or 'there exists.' This structure helps in constructing logical arguments and proofs, making it a fundamental tool in mathematics, computer science, and philosophy.