Question

Conditional statement: If I use Geo annihilation, then Dr. Madness will be vanquished.

(Inverse): If I do not use Geo Annihilation, then Dr. Madness will not be vanquished.

Is this logically equivalent, why or why not?

Answer 1

(converse): If Dr. Madness is vanquished, then I used Geo Annihilation.
(contrapositive): If Dr. Madness is not vanquished, then I did not use Geo Annihilation.

Answer 2

@robtobey

Answer 3

*sigh* somebody, anybody!!

Answer 4

@Hero

Answer 5

so is p -> q logically equivalent to ~p -> ~q

that's the question

Answer 6

umm i think so

Answer 7

if they have the same logical content

Answer 8

From Wikipedia:
The following statements are logically equivalent:
If Lisa is in France, then she is in Europe. (In symbols, .)
If Lisa is not in Europe, then she is not in France.

Answer 9

ok so that would be an example??

Answer 10

Yes, and it is identical in structure to yours

Answer 11

so my conditional statement and the inverse would be logically equivalent the