| Table 2.3.1 (p.61) Valid Argument Forms | |
|---|---|
| Modus Ponens | p → q p ∴ q |
| Modus Tollens | p → q ~ q ∴ ~ p |
| Generalization | p ∴ p ∨ q |
| Specialization | p ∧ q ∴ p |
| Conjunction | p q ∴ p ∧ q |
| Elimination | p ∨ q ~ q ∴ p |
| Transitivity | p → q q → r ∴ p → r |
| Proof by Division into Cases | p ∨ q p → r q → r ∴ r |
| Contradiction Rule | ~ p → c ∴ p |
| Invalid Argument Forms | |
| Converse Error | p → q q ∴ p |
| Inverse Error | p → q ~ p ∴ ~ q |