Thread: Theorums logic

A theorum is expressed in the form below.



" If A then B"



How can both the above theorum and its converse be expressed?



a. If B then A



b. If not B then not A



c. If not A then not B



d. A if and only if B

I think it is "If B then A" using the conversion logic found here

Originally Posted by roz

A theorum is expressed in the form below.

" If A then B"

How can both the above theorum and its converse be expressed?

a. If B then A
b. If not B then not A
c. If not A then not B
d. A if and only if B

"If A then B"

CONVERSE: If B then A.
CONTRAPOSITIVE: If not B, then not A. (this is equivalent to the theorem itself)
CONTRAPOSITIVE OF THE CONVERSE: If not A then not B.

your d) says "If A then B and If B then A"