(a) No
If it rains, I'll eat chicken.
If it rains, I'll go outside.
No way to conclude that eating chicken means going outside.
(b) Come on. You know that the converse of p→q id q→p. So, ...
(c) ~q → ~r
(d) Nope. I'm sure you can come up with an example. (Use what you know about converses.)
1.Suppose we are given logic statements p, q, and r.
a. If p → q and p → r, may we conclude that q → r? Answer yes or no and give a reason why.
b. What is the converse of the following: not p → not q
c. What is the contrapositive of r → q?
d. The statements p → q and q → r are given. If we know q is true, is p necessarily true? Explain.
1 answer
1 answer