(Original) conditional: if p then q
converse of conditional: if q then p [swap order]
inverse of conditional: if ~p then ~q [keep order, negate both]
contrapositive of conditional: if ~q then ~p [swap order, negate both]
" If it is not raining then I will walk to the park.
R = it is raining
W = I will walk to the park
(Original) conditional: if ~R then W
converse of conditional: if W then ~R [swap order, do not negate]
inverse of conditional: if R then ~W [keep order, negate both]
contrapositive of conditional: if ~W then R [keep order, negate both]
-----------------
A. write the inverse
[keep order, negate both]
if R then ~W: " If it is raining, then I will not walk to the park."
B. Write the converse
[swap order, do not negate]
if W then ~R: " If I (end up) walk(ing) to the park, then it (must) not (have
been) raining.
Sometimes you have to insert and/or omit a word or two to make the grammar
correct. It would sound funny to say "If I walk to the park, then it is not
raining." People just don't talk that way. But upon careful analysis, it does
mean " If I do end up walking to the park, then it must not have been raining."
Or you might word it " " If I do end up walking to the park, then you will be
sure that it is not raining."
Edwin
