Provide symbolization keys and translate the following English sentences and arguments into SL:       1.) “You should move to New York City if you don’t like Boston and you can afford the rent.”       ANSWER:      2.) “You should have dessert only if you don’t feel full or you really like ice cream or cake.”      ANSWER:      3.) “Mark is a good student and an interesting guy, but he doesn’t like logic and may drop the course if he fails the first assignment.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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APHI210—introduction to logic 

Problem Set 3  

Provide symbolization keys and translate the following English sentences and arguments into SL:  

 
 

1.) “You should move to New York City if you don’t like Boston and you can afford the rent.”  

 
 

ANSWER: 

 
 

2.) “You should have dessert only if you don’t feel full or you really like ice cream or cake.” 

 
 

ANSWER: 

 
 

3.) “Mark is a good student and an interesting guy, but he doesn’t like logic and may drop the course if he fails the first assignment.  

 
 

ANSWER: 

 
 

4.)   

 
 

Jack and Jill went up a hill. 

 
 

If Jack and Jill go up a hill, they will fetch a pail of water, but they will spill it. 

 
 

  Jack and Jill will either not go up a hill, or they will spill water. 

 
 

ANSWER: 

 
 

Construct a truth table for the following sentence: 

 
 

5.) (A & O) -> (O v A) 

 
 

ANSWER: 

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