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# Logic I Notes, Week 3, Class 09/01 PHL 1100

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This 4 page Class Notes was uploaded by Amanda Notetaker on Wednesday September 7, 2016. The Class Notes belongs to PHL 1100 at Appalachian State University taught by Dr. Patrick Rardin in Fall 2016. Since its upload, it has received 4 views. For similar materials see Logic I in Philosophy at Appalachian State University.

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Date Created: 09/07/16

Logic 1 Week 3 09/01 Hw #4 Answers Pg 299 B24. T Pg 308 A6. F A7. T A8. T A9. F B2. A כ (B ᵛ C) B3. A כ (B ∙ C) B4. (A כ B) ∙ C B5. (A ∙ B)כ C In class, we reviewed properties of conditionaכ) ( ie) not commutative, “if” vs. “only if” Key Things to Remember Focus on syntax “if” is an antecedent word, “only if” is a consequent word Practice Problems from Text Done in Class Pg. 309 *B10. ~[A כ (B ∙ C)] *B15. B כ (A ᵛ C) *B20. C ᵛ B *B25. ~(C ᵛ D) כ (~B ᵛ A) Logic 1 Week 3 09/01 De Morgan’s Law ~(p ∙ q) means the same thing as (~p ᵛ ~q) ~(p ᵛ q) means the same thing as (~p ∙ ~q) If A on final The sentences mean F It is not the case that A for final and not A for course. ~(F ∙ ~C) are just written differently. Using Truth Tables to Perform Calculations Four Basic Truth Tables Negation Conjunction Disjunction Conditional p ~p p q p ∙ q p q p ᵛ q p q p ͻ q T F T T T T T T T T T F T T F F T F T T F F F T F F T T F T T F F F F F F F F T Connected Calculations p q p ᵛ q ~(p ᵛ q) p ∙ q ~(p ∙ q) ~p ᵛ ~q ~p ∙ ~q pכ q ~(p ∙ ~q) T T T F T F F F T T T F T F F T T F F F F T T F F T T F T T F F F T F T T T T T *Highlighted columns of the same color have the same truth values, and therefore follow De Morgan’s Law HOMEWORK # 5 DUE 09/06: PG 308 A 11+12, B 1119, Read 8.4 REMEMBER NOT TO DO THE * PROBLEMS Logic 1 Week 3 09/01 Hw #4 Answers Pg 299 B-24. T Pg 308 A-6. F A-7. T A-8. T A-9. F B-2. A כ (B ᵛ C) B-3. A כ (B · C) B-4. (A כ B) · C B-5. (A · B)כ C In class, we reviewed properties of conditionals ( ie) not commutative, “if” vs. “only if” Key Things to Remember Focus on syntax “if” is an antecedent word, “only if” is a consequent word Practice Problems from Text Done in Class Pg. 309 *B-10. ~[A כ(B · C)] *B-15. B כ (A ᵛ C) *B-20. C ᵛ B *B-25. ~(C ᵛ D) כ (~B ᵛ A) Logic 1 Week 3 09/01 De Morgan’s Law ~(p · q) means the same thing as (~pᵛ ~q) ~(p ᵛ q) means the same thing as (~p · ~q) If A on final then A for cכCrse. F The sentences mean the It is not the case that A for final and not A for course. ~(F · ~C)hey are just written differently. Using Truth Tables to Perform Calculations Four Basic Truth Tables Negation Conjunction Disjunction Conditional p ~p p q p · q p q p ᵛ q p q p ͻ q T F T T T T T T T T T F T T F F T F T T F F F T F F T T F T T F F F F F F F F T Connected Calculations p q p ᵛ q ~(p ᵛ q) p · q ~(p · q) ~p ᵛ ~q ~p · ~כq ~(p · ~q) T T T F T F F F T T T F T F F T T F F F F T T F F T T F T T F F F T F T T T T T *Highlighted columns of the same color have the same truth values, and therefore followDe Morgan’s Law HOMEWORK # 5 DUE 09/06: PG 308 A 11+12, B 11-19, Read 8.4 REMEMBER NOT TO DO THE * PROBLEMS

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