Final answer:
The Law of Detachment does not apply in situations when only p→q is known without confirmation of p, or when q is presented without information about p.
Step-by-step explanation:
The Law of Detachment, in propositional logic, says that if the statement p→q is true, and p is true, then q must also be true. However, there are situations where the Law of Detachment does not apply, such as:
If we only know that p→q is true, but we do not know whether p is true or false, we cannot conclude q.
Similarly, if we have the statement q, it does not imply that p is true, even if p→q is known to be true. This is not an application of the Law of Detachment but rather affirming the consequent, a logical fallacy.
It is crucial to satisfy both initial conditions: the truth of p→q, and the truth of p, to apply the Law of Detachment.