Logical Implication
Logical implication is a fundamental concept in logic that describes a relationship between two statements, often expressed as "if P, then Q." Here, P is called the antecedent, and Q is the consequent. If P is true, then Q must also be true for the implication to hold. However, if P is false, the implication is considered true regardless of the truth value of Q.
In formal logic, this relationship is often represented using symbols, such as P → Q. Logical implication is crucial in various fields, including mathematics, computer science, and philosophy, as it helps in constructing valid arguments and reasoning processes.