For statements with if and only if, does it matter which variable I write first?

Example: V is selected if and only if P is selected

the if and only if here is referring to P so the solutions in the book show

P (--) V

not V (--) not P

but if I wrote it out as

V (--) P

not P (--) not V

Would that be correct since this is a biconditional statement? if past would make P sufficient condition and the only if part would make P the necessary condition. Am I thinking of this correctly?

Also, can I think of biconditionals as implying that the two variable must always go together meaning that PV will always be together in the "in" group or in the "out" group. There is never a possibilities where one variable is in and the other is out. So, I could show them as a block in my diagram.

I understand the difference between either or and either or but not both

I am confused about the diagramming aspect and not sure if my way is correct

Either or (implies possibly both)

So, I think of this in negative terms (absence of a sufficient condition)

not A -> B

not B -> A

A -> may or may not have B (so AB is also possible)

versus

Either or but not both

So, I think of this in positive terms (presence of sufficient condition)

A -> not B

B -> not A

In this case, there no other possibility (both AB can never be possible)

Is there a way to show this using double sided arrows or double not arrows? I am confused about that.

I know that double sided arrows ((--)) are used for biconditionals like "if and only if" and "if but only if"

and double not arrows ((-I-)) are used for neither nor

Is my reasoning correct?

Somehow I think that I have gotten myself mixed up with all this conditional logic stuff

I am confused between the difference of these two forms of conditional logic

not A -> B

not B -> A

versus

A -> not B

B -> not A

Do both forms above really mean either or, but not both?

In one of the games explanations, I remember coming across a point that starting with a negative term as the sufficient condition, meaning where the absence of a sufficient condition guarantees a necessary condition is somehow different than starting with a positive term for the sufficient where the presence of a sufficient condition guarantees the necessary condition. BUT I am having trouble seeing if there is a difference in the meaning of the above two forms and hat kinds of inference I can make from them.

Can someone please clarify this? I am really confused.

Thanks,

Pamela

Hi,

I am having trouble with the vocabulary especially for the RC section where questions ask for how the author feels about something, author's tone etc. I find that the answer choices contain words that I am don't know so I am not able to eliminate a lot of the choices.

Do you know of a resource I could use or a list of such words somewhere that I can study from? Or if someone has made a list of these words and would be willing to share :)

Thanks!

I find that when I am doing in out games with conditional statement rules, my diagram is logically correct nut looks different than the explanation videos and it is harder for me to get to the answer using my way. When I watch the vidoes, it is much clear to follow the path to the right answer using the instructor's videos. I can't seem to figure out how to follow his method of drawing the diagram on future similar games

For example, I did PT 36 Game 1 today and my diagram looked like this

O -> P -> not K -> T

-> W -> F or T