SOLUTION: Determine whether the argument is valid or not. pV~q p _____ ∴ ~q

Algebra ->  Conjunction -> SOLUTION: Determine whether the argument is valid or not. pV~q p _____ ∴ ~q      Log On


   

Question 610806: Determine whether the argument is valid or not.
pV~q
p
_____
∴ ~q
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This is not a valid argument. You would need ~p as a premise to deduce ~q as the conclusion.

Further proof is in the table 

p    q     ~q      p V ~q
----------------------------
T    T      F        T
T    F      T        T
F    T      F        F
F    F      T        T


Notice how on the first line that every premise is true BUT the conclusion (~q) is false. This shows us that the argument is NOT valid.