Question

1. From the conditional statement that you wrote, determine if the inverse, converse, and contrapositive are logically equivalent. Explain for each statement why or why not. Do the same for your partner’s conditional statement and inverse, converse, and contrapositive.

Answer 1

• Statement (Conditional): If I use my brain, then Dr. Madness will be defeated
• Code #1 (Inverse): If I do not use my brain, then Dr. Madness will not be defeated.
• Code #2 (Converse): If Dr. Madness is defeated, then I used a my brain.
• Code #3 (Contrapositive): If Dr. Madness is not defeated, then I did not use my brain.

Answer 2

The conditional --> • Statement (Conditional): If I use my brain, then Dr. Madness will be defeated

and its contrapositive -->• Code #3 (Contrapositive): If Dr. Madness is not defeated, then I did not use my brain.
are logically equivalent.

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Note: The inverse and the converse are also logically equivalent but not to the original conditional.