Truth Tables

Exercise

Use the truth table test of validity to determine whether or not the following arguments are valid or invalid.

1. 
   
   1. A v B
   2. B
   3. ∴ ~A
2. 
   
   1. A ⋅ B
   2. ∴ A v B
3. 
   
   1. ~C
   2. ∴ ~(C v A)
      
      
4. 
   
   1. (A v B) ⋅ (A v C)
   2. ~A
   3. ∴ B v C
5. 
   
   1. R ⋅ (T v S)
   2. T
   3. ∴ ~S
6. 
   
   1. A v B
   2. ∴ A ⋅ B
7. 
   
   1. ~(A ⋅ B)
   2. ∴ ~A v ~B
8. 
   
   1. ~(A v B)
   2. ∴ ~A v ~B
9. 
   
   1. (R v S) ⋅ ~D
   2. ~R
   3. ∴ S ⋅ ~D