In an introductory class, the professor showed us the following example:
Anyone who loves nature($P$) certainly also loves animals($Q$) and plants($R$). Which was translated to the expression $P\to (Q\wedge R)$, which, also sounds strange, but I'll use it as an example.
Then, given the information that Celina loves plants ($R=true$), we were told that it's possible to infer that Celinas does not love nature.
My initial thought was that I could not infer that because I don't have any information regarding Celina's love to animals.
I figure it as:
$P\to (Q\wedge R)$
$P\to (?\wedge true)$
So, I can not infer any value to $P$ for this situation.
Am I missing something?