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Using the truth table, determine whether the argument form is valid or invalid


Using the truth table, determine whether the following argument form is valid or invalid:

                                        p â†’q

                                        p v r

                                        âˆ´r                               





Solution: 

p

q

r 

Premise

Conclusion

p â†’q

p v r 

r

T

T

T

T

T

T

T

T

F

T

T

F

T

F

T

F

T

T

T

F

F

F

T

F

F

T

T

T

T

T

F

T

F

T

F

F

F

F

T

T

T

T

F

F

F

T

F

F

 

The following argument form is invalid because in one row both the premise are true but the conclusion is false.




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