SOLUTION: Determine whether the statement is a tautology, self-contradiction or neither
(p ^ ~q) -> q
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Question 87462: Determine whether the statement is a tautology, self-contradiction or neither
(p ^ ~q) -> q
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Set up a truth table to see if the given statement is a tautology, self-contradiction, or neither.
| p | q | ~q | p ^ ~q | (p ^ ~q) -> q |
| T | T | F | F | T |
| T | F | T | T | F |
| F | T | F | F | T |
| F | F | T | F | T |
Focus on the last column of red truth values. Since there are 3 true possibilities and one false one, we can see that the statement is neither a tautology or a self-contradiction.
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