Negation is the easy one: The glass is always half full.
Conditional is when one statement depends on the other: If it is a glass, then it is not always half full. (I think something like that maybe.)
Conjunction is when you connect two statements together with an OR: It is a glass OR it not always half full. (Not sure on this one, sorry).
Disjunction is when you connect two statements together with an AND: It is a glass AND it is not always half full. (Again, sorry, not sure if this is exactly what they're looking for.)