Assignment 2: Constructing Truth Tables

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Assignment 2: Constructing Truth Tables

 

In this assignment, you will construct truth tables and use them to assess the validity of arguments.

 

Click here to download the assignment, complete the problems listed and save your responses in the Excel document. (Attached)

 

 

 M5.A1 Truth Table Exercises          
 Back-up QUESTION SET          
              
              
              
 1Premise:P → Q          
  Conclusion:~P → ~Q          
              
  Answer:           
              
              
  PQ          
              
              
              
              
              
              
              
 2Premise:P → Q          
  Conclusion:~Q → ~P          
              
  Answer:           
              
              
  PQ          
              
              
              
              
              
              
 3Premise:(P & Q) → R          
   Q →  R          
  Conclusion:P →  R          
              
 PQR          
              
              
              
              
              
              
              
              
              
              
 4Translate the following argument and use truth tables to test for validity.      
        
              
  "If 9 is less than 10 and every odd number less than 10 is divisible by 3, then 9 is divisible by 3. THEREFORE If 9 is less than 10 it is less than 10 it is divisible by 3."
  
  
              
  N = "9 is less than 10"          
  O = "Every odd number less than 10 is divisible by 3."      
  D =  "9 is divisible by 3."          
              
  Premise:           
  Conclusion:           
              
 NOD          
              
              
              
              
              
              
              
              
              
 5. Translate the following argument and use truth tables to test for validity.    
     
     
  "If it rains tomorrow, I will have a tough commute. If it snows tomorrow, I will have a tough commute. It will either rain or snow tomorrow. THEREFORE I will have a tough commute."
  
  
              
  R ="It rains tomorrow."        
  S ="It snows tomorrow."        
  T ="I will have a tough commute."       
              
  Premise:            
              
              
  Conclusion  ANSWER:       
              
 RST          
              
              
              
              
              
              
              
              
              
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