Archangel Macsika
Use truth tables to determine if the argument forms are valid: p → r q → r hence, p V q → r
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Truth Table for: p → r q → r hence, p V q → r
| p | q | r | p V q | p → r | q → r | (p V q) → r |
|---|---|---|---|---|---|---|
| T | T | T | T | T | T | T |
| T | T | F | T | F | F | F |
| T | F | T | T | T | T | T |
| T | F | F | T | F | T | F |
| F | T | T | T | T | T | T |
| F | T | F | T | T | F | F |
| F | F | T | F | T | T | T |
| F | F | F | F | T | T | T |
Since for all the critical rows when the premises are true the corresponding conclusion is also true. Hence the argument form is valid.