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Logic and Conditional Statements Quiz
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Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."
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A
If Yoda can help Luke win the battle, then he can use a lightsaber.
💡 Explanation:
In formal logic, a conditional statement 'If P then Q' is logically equivalent to its contrapositive 'If not Q then not P.' Here, P is 'Yoda cannot use a lightsaber' and Q is 'Yoda cannot help Luke.' The contrapositive is 'If Yoda CAN help Luke (not Q), then he CAN use a lightsaber (not P)' - which is option B. Options A and D assert conjunctions, not conditionals. Option C claims a biconditional (if and only if) which is stronger than the original.