A valid argument is one where, if the premises were true, the conclusion would necessarily be true. Soundness, however, requires both validity and the actual truth of all premises. If a premise is false, the argument cannot be sound, even if its logical form is flawless. Thus, the correct classification is that the argument is valid in structure but unsound due to at least one false premise.
Option A:
Option A incorrectly assumes that validity alone ensures soundness, ignoring the need for true premises.
Option B:
Option B clearly separates the structural property of validity from the factual requirement of true premises, matching the standard definitions in logic.
Option C:
Option C is impossible, because soundness implies validity; an invalid argument cannot be sound.
Option D:
Option D is too strong, denying validity when only the premises are at fault, which misclassifies the argumentβs logical form.
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