From the conditional statement that you wrote, determine if the inverse, converse, and contrapositive are logically equivalent.

Question

anonymous · Answer

If we shoot Dr. Madness in the heart, then he will be defeated.
Converse: If he is defeated, then we shot him in the heart.
Inverse: If Dr. Madness is not shot in the heart, then he will not be defeated.
Contropositive: If Dr. Madness has not been defeated, then we have not shot him in the heart.

amistre64 · Answer

contraP, by default, is always logically equivalent

anonymous · Answer

So would that be the only one that is logically equivalent? I dont understand what it means.

amistre64 · Answer

it the only one that is a sure bet, there might be others tho ....

anonymous · Answer

How do you know?

amistre64 · Answer

read the first one, are there other ways for that statement to be true?

amistre64 · Answer

: If he is defeated, then we shot him in the heart.

can he be defeated in another way?  if so then the conclusion is not a logical consequence of the premise

amistre64 · Answer

If Dr. Madness is not shot in the heart, then he will not be defeated.

is shot in the heart the only way to defeat him?

anonymous · Answer

Oh i get it, thank you :)

amistre64 · Answer

good luck :)