I have an question regarding Propositional Logic,
(! = NOT, V = OR, -> = Implication)
If the proposition !p -> q is true, then the truth value of the proposition !p V (p -> q) is,
1. true 2. multiple valued, 3. false, 4. cannot be determinded
now from the truth table for !p V (p->q) i get 1 1 0 1 which means it is neither true nor false.
so the answer would be either 2 or 4 and the actual answer is 4.
My question is what does 'multiple valued' means in this case? is it just there to misdirect or is there any logic behind it? or am i doing this completely wrong?
Please any kind of advice would appreciated!!!