What is a valid argument in logic?

• A. An argument where the premises are always true
• B. An argument where the conclusion can be false
• C. An argument where if the premises are true, the conclusion must also be true
• D. An argument based solely on opinion

Answer: (C)

A valid argument in logic is defined as one where if the premises are true, the conclusion must also be true. This relationship is foundational to logical reasoning. Validity does not concern the actual truth of the premises themselves; rather, it focuses on the structural relationship between the premises and the conclusion.

For example, if you start with premises that accurately represent the facts and apply logical inference correctly, the conclusion will necessarily follow. This means that in a valid argument, it is impossible for the premises to be true while the conclusion is false. Thus, even if a conclusion might not be grounded in real-world truth (as in the case of hypothetical or abstract scenarios), the validity of the argument itself remains intact if the logical structure holds.

This definition helps differentiate valid arguments from those that might be based on faulty reasoning or unsupported opinions, which do not guarantee that a true conclusion follows from premises—even if they may relate to some subjective interpretation or belief.