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# Logic I Notes, Week 2, Class 08/25 PHL 1100

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This 4 page Class Notes was uploaded by Amanda Notetaker on Thursday August 25, 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 15 views. For similar materials see Logic I in Philosophy at Appalachian State University.

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Date Created: 08/25/16

Logic I Week 2 08/25 Homework #2 Answers (pg. 299300) C6. (I ᵛ L) ∙ ~(I ∙ L) C7. S ∙ (I ᵛ J) C8. (S ∙ I) ᵛ J C9. ~E ∙ J (C10 has a *, so we do not do those questions for homework) C11. ~E ᵛ J C12. ~(E ∙ J) C21. (E ∙ S) ᵛ (J ᵛ L) C22. S ∙ [J ᵛ (L ∙ I)] C23. (E ᵛ J) ∙ ~(L ᵛ I) Review Symbolize from the outside in – find the main break in the sentence, and then figure out either side. Connective Words Type of TruthFunction Symbol not, it is not the case that Negation ~ (tilde) and, but, yet, also, still, although,Conjunction ∙ (dot) however, moreover, nevertheless or, unless Disjunction ᵛ (wedge) “or” and “unless” are the only two words that mean that you use a wedge. “but” and “however”, though they seem like a disjunction in English, are always dots to form a conjunction. Truthfunctions determine validity Practice Review Questions from Text Pg 300 C24. E ∙ (S ∙ L) C25. (L ∙ E) ∙ (S ∙ J) Truth Tables Calculate truth values for statements Conjunction – both p and q must be true, or p ∙ q is false Disjunction – at least one (p or q) must be true, or p ᵛ q is false p ~ p q p ∙ q p q p ᵛ q p T F T T T T T T F T T F F T F T F T F F T T F F F F F F Practice Textbook Problems Using Truth Tables Logic I Week 2 08/25 Pg. 299 B2. False B3. True (p is true, so p ᵛ q must be true) *B5. False *B10. True A similar problem, worked through step by step. Assume Q and R are true, and U and V are false. ~ ( U ∙ ~ V ) ᵛ ( Q ∙ ~ R ) ~ ( F ∙ ~ F ) ᵛ ( T ∙ ~ T ) ~ ( F ∙ T ) ᵛ ( T ∙ F ) ~ F ᵛ F T ᵛ F T So the truth value of this statement is true. *B15. True HOMEWORK # 3 DUE 08/30: PG 299 B 713, PG 300 C 1319 REMEMBER NOT TO DO THE * PROBLEMS Also, read 8.3 if you have not already done so. Logic I Week 2 08/25 Homework #2 Answers (pg. 299-300) C-6. (I ᵛ L) · ~(I · L) C-7. S · (I ᵛ J) C-8. (S · I) ᵛ J C-9. ~E · J (C-10 has a *, so we do not do those questions for homework) C-11. ~E ᵛ J C-12. ~(E · J) C-21. (E · S) ᵛ (J ᵛ L) C-22. S · [J ᵛ (L · I)] C-23. (E ᵛ J) · ~(L ᵛ I) Review Symbolize from the outside in – find the main break in the sentence, and then figure out either side. Connective Words Type of Truth-Function Symbol not, it is not the case that Negation ~ (tilde) and, but, yet, also, still, although, Conjunction ∙ (dot) however, moreover, nevertheless or, unless Disjunction ᵛ (wedge) “or” and “unless” are the only two words that mean that you use a wedge. “but” and “however”, though they seem like a disjunction in English, are always dots to form a conjunction. Truth-functions determine validity Practice Review Questions from Text Pg 300 C-24. E · (S · L) C-25. (L · E) · (S · J) Truth Tables Calculate truth values for statements Conjunction – both p and q must be true, or p · q is false Disjunction – at least one (p or q) must be true, or p ᵛ q is false p ~p p q p · q p q p ᵛ q T F T T T T T T F T T F F T F T F T F F T T F F F F F F Practice Textbook Problems Using Truth Tables Pg. 299 B-2. False B-3. True (p is true, so p ᵛ q must be true) *B-5. False Logic I Week 2 08/25 *B-10. True A similar problem, worked through step by step. Assume Q and R are true, and U and V are false. ~ ( U · ~ V ) ᵛ ( Q · ~ R ) ~ ( F · ~ F ) ᵛ ( T · ~ T ) ~ ( F · T ) ᵛ ( T · F ) ~ F ᵛ F T ᵛ F T So the truth value of this statement is true. *B-15. True HOMEWORK # 3 DUE 08/30: PG 299 B 7-13, PG 300 C 13-19 REMEMBER NOT TO DO THE * PROBLEMS Also, read 8.3 if you have not already done so.

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