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Mathematical Logic
 
1. Prepare the truth table
Logical Expression
  
  1. `pvvq`
  2. `p^^q`
  3. `(pvvq)vvr`
  4. `(p^^q)^^r`
  5. `~(pvvq)`
  6. `~(p^^q)`
  7. `p^^(qvvr)`
  8. `pvv(q^^r)`
  9. `p^^(pvvq)`
  10. `pvvt`
  11. `p^^c`
  12. `p=>q`
  13. `p<=>q`

2. Examine the logical validity of the argument
Hypothesis
Conclusion
  
  1. Hypothesis : `pvvq;~p` and Conclusion : `q`
  2. Hypothesis : `(p^^~q)=>r;pvvq;q=>p` and Conclusion : `r`
  3. Hypothesis : `p=>q;q=>r` and Conclusion : `p=>r`
  4. Hypothesis : `p=>q;p` and Conclusion : `q`
  5. Hypothesis : `p=>q;p=>r` and Conclusion : `p=>(q^^r)`
 
SolutionHelpExample
 
 

 
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