Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

Diagramming either or and either or but not both

pfjddreampfjddream Free Trial Member
edited January 2015 in Logic Games 24 karma
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



Sign In or Register to comment.