Archangel Macsika
Use truth tables to show that the following forms of argument are invalid:p → q, ~p, hence, ~q (inverse error)
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Truth Table for: p → r, q → r, hence, p V q → r
| p | q | ~p | p → q | ~q |
|---|---|---|---|---|
| T | T | F | T | F |
| T | F | F | F | T |
| F | T | T | T | F |
| F | F | T | T | T |
Since for the third row when the premises are true and the conclusion is false, hence the given argument is invalid.