look at the following conditionals: if ernest will get a haircut, then he will go to the barber. if ernest…
look at the following conditionals: if ernest will get a haircut, then he will go to the barber. if ernest will not get a haircut, then ernest will not go the barber. is the second conditional the contrapositive, converse, or inverse of the first conditional? contrapositive converse inverse
Answer
Brief Explanations:
Let the first conditional be "If (p) (Ernest will get a haircut), then (q) (he will go to the barber)", written as (p\rightarrow q). The second conditional is "If not (p) (Ernest will not get a haircut), then not (q) (Ernest will not go to the barber)", written as (\neg p\rightarrow\neg q). The contra - positive of (p\rightarrow q) is (\neg q\rightarrow\neg p), the converse is (q\rightarrow p), and the inverse is (\neg p\rightarrow\neg q).
Answer:
inverse