Logic I Notes, Week 6
Logic I Notes, Week 6 PHL 1100
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This 3 page Class Notes was uploaded by Amanda Notetaker on Wednesday September 21, 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 18 views. For similar materials see Logic I in Philosophy at Appalachian State University.
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Date Created: 09/21/16
Logic I Week 6 09/20 Homework #9 Answers Pg 322 C 3, 4 3. G ⊃ H Invalid G ⊃ I ∴ H ⊃ I P1 P2 ∴ G H I G ⊃ H G ⊃ I H ⊃ I T T T T T T T T F T F F T F T F T T T F F F F T F T T T T T F T F T T F F F T T T T F F F T T T 4. J ⊃ (K v L)Valid ~K ∴ J ⊃ L P1 P2 ∴ J K L J ⊃ (K v L)K J ⊃ L T T T T F T T T F T F F T F T T T T T F F F T F F T T T F T F T F T F T F F T T T T F F F T T T Pg 329 C 2, 3 2. Not a tautology; it’s a contingent S p q p ⊃ q ~p ⊃ ~q (p ⊃ q) ≡ (~p ⊃ ~q) T T T T T T F F T F F T T F F F F T T T Logic I Week 6 09/20 3. Not a tautology; it’s a contingent S p q r (p ⊃ q) ⊃ r (q ⊃ p) ⊃ r [(p ⊃ q) ⊃ r] ≡ [(q ⊃ p) ⊃ r] T T T T T T T T F F F T T F T T T T T F F T F F F T T T T T F T F F T F F F T T T T F F F F F T Test Specifics 1. Timed: 50 minutes 2. Worth 100 total points 3. 3 sections a. Truth tables i. 1 – determine validity (25 points) ii. 1 – partition work (25 points) b. 5 Translations (or symbolizing) (30 points) c. 5 Matching (20 points) i. Match the argument name form (Simplification, Addition, etc.) to the given arguments; each form will only be used once, and is written out; NO MEMORIZATION REQUIRED 1. Forms will be written like this: Modus Ponens p ⊃ q p ∴ q Review Form Identification pg 344 2. Simplification D v E for p, F v G for q (couldn’t be constructive dilemma because it only has 2 premises and no ⊃) 3. Addition H ⊃ I for p, H ⊃ ~I for q 4. Simplification ~(J ⋅ K) for p, L ⊃ ~M for q 18. Addition (W ⋅ ~X ≡ (Y ⊃ Z) for p, X ≡ ~Z for q 19. Constructive Dilemma H ⋅ ~I for p, C for q, I ⋅ ~H for r, D for s (Practice more with the numbers with * in front of them) Logic I Week 6 09/20 Translations 1. Al is happy if Betty is happy. B ⊃ A 2. Al is happy only if Betty is not happy. A ⊃ ~B 3. Neither Al nor Betty is happy. ~(A v B) 4. Not both Al and Betty are happy. ~(A ⋅ B) 5. Both Al and Betty are not happy. ~A ⋅ ~B 6. If Al is happy, then Betty is happy if Al is. A ⊃ (A ⊃ B) 7. Al is happy only if Betty is not happy, but Betty is happy. (A ⊃ ~B) ⋅ B 8. If Al is not happy, then if Betty is not happy then Jane is sick. ~A ⊃ (~B ⊃ J) NO HOMEWORK EXCEPT TO STUDY Other Links: Week 1 – https://studysoup.com/note/2304338/asu-phl-1100-week-1-fall-2016 Week 2 Part 1 - https://studysoup.com/note/2304467/asu-phl-1100-week-2-fall-2016 Week 2 Part 2 - https://studysoup.com/note/2304495/asu-phl-1100-week-2-fall-2016 Week 3 Part 1 - https://studysoup.com/note/2308846/asu-phl-1100-week-3-fall-2016 Week 3 Part 2 – https://studysoup.com/note/2315064/asu-phl-1100-week-3-fall-2016 Week 4 Part 1 – https://studysoup.com/note/2315069/asu-phl-1100-week-4-fall-2016 Week 4 Part 2 – https://studysoup.com/note/2319902/asu-phl-1100-week-4-fall-2016 Week 5 Part 1 – https://studysoup.com/note/2322757/asu-phl-1100-week-5-fall-2016 Week 5 Part 2 - https://studysoup.com/note/2325547/asu-phl-1100-week-5-fall-2016 Exam 1 Study Guide – https://studysoup.com/guide/2325811/asu-phl-1100-midterm-1-fall-2016
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