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## Logic I Notes, Week 3, Day 1

by: Amanda Notetaker

11

1

4

# Logic I Notes, Week 3, Day 1 PHL 1100

Marketplace > Appalachian State University > Philosophy > PHL 1100 > Logic I Notes Week 3 Day 1
Amanda Notetaker
ASU

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These notes contain: The answers to Hw #3 An explanation of conditional statements and the horseshoe symbol, including examples and the truth table. The problems assigned for Hw #4
COURSE
Logic I
PROF.
Dr. Patrick Rardin
TYPE
Class Notes
PAGES
4
WORDS
CONCEPTS
logic, Rardin, Amanda, Horsley, conditional, Statements, Horshoe, truth, Table
KARMA
25 ?

## Popular in Philosophy

This 4 page Class Notes was uploaded by Amanda Notetaker on Wednesday August 31, 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 11 views. For similar materials see Logic I in Philosophy at Appalachian State University.

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Date Created: 08/31/16
Logic Notes Week 3 8/30/16 Hw # 3 Answers: Pg 299 B 7­13, pg 200 C 13­19 (without * problems) B­7. T C­13. J ᵛ S B­8. F C­14. E ᵛ L B­9. T C­16. (I ∙ L) ᵛ ~(I ᵛ L) B­11. T C­17. L ∙ E B­12. F C­18. ~~(I ᵛ L) B­13. F C­19. (E ∙ J) ᵛ (~I ∙ ~L) Conditional Statements Form = p ͻ q (antecedent horseshoe consequent) Not commutative: You cannot flip p and q. Antecedent Words Consequent Words If Only if Ex.) P1. A for course if A on final. F ͻ C (You automatically get an A in the course if you get an A on the final.) P2. A for course only if A on final. C ͻ F (The only way to get an A in the course is to get an A  on the final.) Practice Sentences 1. If Al is happy then Betty is happy. A ͻ B 2. If Al is happy, then Betty is happy. A ͻ B 3. Al is happy if Betty is happy. B ͻ A 4. Cathy is happy only if Jane is not happy. C ͻ ~J 5. If Al is happy then if Jane is happy then Betty is not happy. A ͻ (J ͻ ~B) 6. If Al is happy, then Betty is happy and Jane is not happy. A ͻ (B ∙ ~J) 7. If Al is happy then Betty is happy, and Jane is not happy. (A ͻ B) ∙ ~J 8. If Al is happy, then Betty is happy, and Jane is not happy. (A ͻ B) ∙ ~J Conditional Truth Table Added to Set 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 Logic Notes Week 3 8/30/16 Practice Questions from Text Pg. 308 A *1. T *5. F *10. T *15. F HOMEWORK # 4 DUE 09/01: PG 299 B 24, PG 308 B 2­5, A 6­9 Logic Notes Week 3 8/30/16 Hw # 3 Answers: Pg 299 B 7-13, pg 200 C 13-19 (without * problems) B-7. T C-13. J ᵛ S B-8. F C-14. E ᵛ L B-9. T C-16. (I · L) ᵛ ~(I ᵛ L) B-11. T C-17. L · E B-12. F C-18. ~~(I ᵛ L) B-13. F C-19. (E · J) ᵛ (~I · ~L) Conditional Statements Form = p ͻ q (antecedent horseshoe consequent) Not commutative: You cannot flip p and q. Antecedent Words Consequent Words If Only if Ex.) P1. A for course if A on final. F ͻ C (You automatically get an A in the course if you get an A on the final.) P2. A for course only if A on final. C ͻ F (The only way to get an A in the course is to get an A on the final.) Practice Sentences 1. If Al is happy then Betty is happy. A ͻ B 2. If Al is happy, then Betty is happy. A ͻ B 3. Al is happy if Betty is happy. B ͻ A 4. Cathy is happy only if Jane is not happy. C ͻ ~J 5. If Al is happy then if Jane is happy then Betty is not happy. A ͻ (J ͻ ~B) 6. If Al is happy, then Betty is happy and Jane is not happy. A ͻ (B · ~J) 7. If Al is happy then Betty is happy, and Jane is not happy. (A ͻ B) · ~J 8. If Al is happy, then Betty is happy, and Jane is not happy. (A ͻ B) · ~J Conditional Truth Table Added to Set 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 Logic Notes Week 3 8/30/16 Practice Questions from Text Pg. 308 A *1. T *5. F *10. T *15. F HOMEWORK # 4 DUE 09/01: PG 299 B 24, PG 308 B 2-5, A 6-9

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