Confusing necessary and sufficient conditions

lbalestrieri

Hello all, I believe I understand the concept of sufficient and necessary conditions and their relationship, however, I am confused when in a flaw question the author or speaker confuses a necessary and sufficient condition and what this means and looks like. For example, in PT 64, section 3, question 11 - one of the answer choices says that the individual confuses sufficient and necessary conditions (it is the wrong answer choice). I haven't come across a question where this has been a correct answer, but I would like to understand further what this means. If anyone could give me an explanation for what this means or an example of what this would look like, I would really appreciate it!

alex.yousif9

To say that a proposition P is a necessary condition for a proposition Q is to say that Q implies P (logically symbolized as follows: Q-->P).

To say that a proposition P is a sufficient condition for a proposition Q is to say that P implies Q (logically symbolized as follows: P-->Q).

To mix up necessary and sufficient conditions is to mix up the two conditional propositions (viz., (Q-->P) and (P-->Q)).