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Logic I Notes, Week 2, Class 08/25

by: Amanda Notetaker

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

Marketplace > Appalachian State University > Philosophy > PHL 1100 > Logic I Notes Week 2 Class 08 25
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About this Document

Today was some review, and we delved deeper into truth tables. The truth tables are listed and how to use them is explained.
Logic I
Dr. Patrick Rardin
Class Notes
logic, Rardin, Amanda, Horsley, truth, tables, functional, practice, Homework
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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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