Conditional Logic question Forum

[InfiniteHubris]

with questions that have "And in the trigger"- I'm a bit confused about the validity of the contrapositives.

For example,

If both P and Q are selected, then R is selected.

P and Q-> R

The contrapositive being-

-R-> -P or –Q

However, since it’s P AND Q that are sufficient to cause R
Couldn’t you not have R (-R) and still have P? But not Q. Alternatively, have Q, but not P.

Any explanation would be saaahhweeetttt.

[CardozoLaw09]

You can have one and not the other and you can also not have both.

So you can have ~P and have Q or the other way around; and you can also not have both of them.

[peeonyou]

You can have one and not the other and you can also not have both.

So you can have ~P and have Q or the other way around; and you can also not have both of them.

he's right.

to give an example:

if you drink and you drive -> you can get a DWI.

if you can't get a DWI -> you are either not drinking, not driving or not doing either one.