Logical connectives are symbols or words used to connect statements in logic, forming complex expressions. The most common logical connectives include AND, OR, NOT, IF...THEN, and IF AND ONLY IF. Each connective has a specific function that helps determine the truth value of combined statements. For example, the AND connective requires both statements to be true for the overall expression to be true, while the OR connective only needs one statement to be true. Understanding these connectives is essential for analyzing logical arguments and constructing valid reasoning in fields like mathematics, computer science, and philosophy.