| p | q | ∼ p | ∼ q | p →∼ q | q →∼ p | p ∨ q |
| T | T | F | F | F | F | T |
| T | F | F | T | T | T | T |
| F | T | T | F | T | T | T |
| F | F | T | T | T | T | F |
Consider the argument form:
p → ∼ q
q →∼ p
∴ p ∨ q
Use the truth table below to determine whether this form of argument is valid or invalid. Include a truth table and a few words explaining how the truth table supports your answer.
Considering
p → ∼ q
q →∼ p
∴ p ∨ q
This argument is invalid as the first statement says that P will happen for not Q and the second statement says that Q will happen for not P
And the resulting argument states that either P ∨ Q but this means that both P and Q can be true altogether and this argument is invalid as proven by the truth table for P ∨ Q
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