Final answer:
The statement that a conditional with a tautological antecedent is always true is correct. This is because a tautology is always true, and in a conditional, if the 'if' part is always true, the whole statement is considered true regardless of the 'then' part.
Step-by-step explanation:
The statement "A conditional whose antecedent is a tautology is always true" is True. In logic, a conditional statement is generally expressed in the form "If P, then Q". The antecedent (P) is the part that follows 'if', and the consequent (Q) is the part that follows 'then'. A tautology is a proposition that is always true, regardless of the truth values of its components. If the antecedent is a tautology, that means it is always true.
Therefore, since the truth of the consequent (Q) is dependent on the truth of the antecedent (P), if the antecedent is always true, the conditional statement will also always be true regardless of the truth value of the consequent.
This illustrates a concept in logic in which anything follows from a true statement, often phrased as "ex falso quodlibet" meaning 'from falsehood, anything follows.'