For the exam you will be expected to memorize the first 8 Implication Rules: - Modus Ponens (MP)
- Modus Tollens (MT)
- Hypothetical Syllogism (HS)
- Disjunctive Syllogism (DS)
- Constructive Dilemma (CD)
- Simplification (Simp)
- Conjunction (Conj)
- Addition (Add)
You will be provided with a list of the 10 Replacement Rules: - De Morgan's Theorem (DM)
- Commutation (Com)
- Association (Ass)
- Distribution (Dist)
- Double Negation (DN)
- Transposition (Trans)
- Material Implication (Impl)
- Material Equivalence (Equiv)
- Exportation (Exp)
- Tautology (Taut)
On the exam you will be expected to do the following: - Identify which rule of inference is used to reach a conclusion.
- When given a formal proof, identify which rule justifies each step.
- Develop a formal proof of validity for an argument using the 8 Implication Rules.
- Symbolize an argument and then give a formal proof of validity for it using the 8 Implication Rules.
- Provide formal proofs of validity that use all 18 Rules of Inference.
You can find practice problems in our text on pages 381-85 (using only the first 8 Implication Rules) and pages 407-413 (using all 18 Rules. Don't do #'s 46-50. They are very hard and you will just get frustrated). |

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