SOLUTION: I can only use the 8 implicational rules to solve this problem. 1. ~Fv~G 2. ~F > Z 3. ~G > ~R 4. (Zv~R) > (U > P) 5. ~P

Algebra ->  Proofs -> SOLUTION: I can only use the 8 implicational rules to solve this problem. 1. ~Fv~G 2. ~F > Z 3. ~G > ~R 4. (Zv~R) > (U > P) 5. ~P       Log On


   



Question 593929: I can only use the 8 implicational rules to solve this problem.
1. ~Fv~G
2. ~F > Z
3. ~G > ~R
4. (Zv~R) > (U > P)
5. ~P :. ~U

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1.   ~F v ~G               
2.   ~F > Z               
3.   ~G > ~R              
4.   (Z v ~R) > (U > P)      
5.   ~P                             :. ~U
-----------------------------------------------------------------------
6.   (~F > Z) . (~G > ~R)                  2,3      Conjunction
7.   Z v ~R                                6,1      Constructive Dilemma
8.   U > P                                 4,7      Modus Ponens
9.   ~U                                    8,5      Modus Tollens