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jaleeljohnson39 on May 22, 2019

Missing Premise/Contrapositive ?

From my understanding, the contrapositive of a general principle have identical meanings. That being said, in the missing premise drills, if I put the the contrapositive as the answer to the missing premise is this consider correct or incorrect? For example: P: P: not B -> A C: X -> B For the the missing premise I would put X -> not A (with the contrapositive being A -> not X). The answer on the card would have A -> not X (with the contrapositive being X -> not A). Just wondering if it would make a difference which one is the contrapositive. Thanks for the help!

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Ravi on May 22, 2019

@jaleeljohnson39,

Great question.

X - >not A (A - >not X)

The contrapositive is logically equivalent to the original conditional
statement. It would make no difference which one is 'the
contrapositive' since both statements mean the same thing.

Does this make sense? Let us know if you have any more questions!

jaleeljohnson39 on May 22, 2019

Yes it does! Thanks again for the help!

Ravi on May 24, 2019

@jaleeljohnson39, happy to help! Let us know if you have any other questions!