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## Logic I Notes, Week 4, Class 09/08

by: Amanda Notetaker

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# Logic I Notes, Week 4, Class 09/08 PHL 1100

Marketplace > Appalachian State University > Philosophy > PHL 1100 > Logic I Notes Week 4 Class 09 08
Amanda Notetaker
ASU

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These notes include: Hw #6 answers Truth tables used to determine validity Examples Hw #7
COURSE
Logic I
PROF.
Dr. Patrick Rardin
TYPE
Class Notes
PAGES
4
WORDS
CONCEPTS
logic, Rardin, Amanda, Horsley, truth tables, validity
KARMA
25 ?

## Popular in Philosophy

This 4 page Class Notes was uploaded by Amanda Notetaker on Monday September 12, 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: 09/12/16
Logic I Week 4 09/08 Hw #6 Answers A­f. 16. Specific A­h. 11. Specific A­i. 12. Specific Truth Tables 1. Defined the truth­functionsכ~, ∙, ᵛ,  2. Used to calculate truth­values 3. Test validity of arguments or argument forms a. .Valid means the conclusion MUST be true whenever ALL premises are true 2  = # of rows where N = # of letters 1/2  = # of Ts and Fs in a column where N = the column # Text pg 313 Example 1 – question (h.) P P 1 2 ؞ Q R S Q כR Q כS R ᵛ S 1 T T T T T T N = 3 letters 2 T T F T N 3 T 3 T F T F 2 = 2T= 8 rows T 4 T F F F Column 1 – 1/2 = ½ T and F 5 F T T T T T (1/2 of 8 is 4) 6 F T F T T T 7 F F T T T T 8 F F F T T F When are all of the premises true? Rows 1, 5, 6, 7, 8 Is the conclusion true in each of those?    √ √  √  √ X The argument must be INVALID. Logic I Week 4 09/08 Example 2 – question (f.) P 1 P2 ؞ K L M N Kכ L M כ N (Kכ L) ∙ כMN) K ᵛ M L ᵛ N 1 T T T T T T T T T 2 T T T F T F F T T 3 T T F T T T T T T 4 T T F F T T T T T 5 T F T T F T F T T 6 T F T F F F F T F 7 T F F T F T F T T 8 T F F F F T F T F 9 F T T T T T T T T 10 F T T F T F F T T 11 F T F T T T T F T 12 F T F F T T T F T 13 F F T T T T T T T 14 F F T F T F F T F 15 F F F T T T T F T 16 F F F F T T T F F When are all of the premises true? Rows 1, 3, 4, 9, 13 Is the conclusion true in each of those?    √ √  √  √  √ The argument must be VALID. HOMEWORK # 7 DUE 09/13: PG 313 B 12, 13, 14 (Make truth tables using the “crutch”  method, which means you can split the premises or conclusion to make them easier to calculate,  like in Example 2 above.) NOTE: EXAM 1 RESCHEDULED TO THU. 09/22 I WILL POST A STUDY GUIDE NO LATER THAN SUNDAY, 09/18. Logic I Week 4 09/08 Hw #6 Answers A-f. 16. Specific A-h. 11. Specific A-i. 12. Specific Truth Tables 1. Defined the truth-functionsכ~, ·, ᵛ, 2. Used to calculate truth-values 3. Test validity of arguments or argument forms a. Valid means the conclusion MUST be true whenever ALL premises are true. 2 = # of rows where N = # of letters 1/2 = # of Ts and Fs in a column where N = the column # Text pg 313 Example 1 – question (h.) P 1 P2 ؞ Q R S Q כR Q כ S R ᵛ S 1 T T T T T T 2 T T F T F T N = 3 letters N 3 3 T F T F T T 2 = 2 = 8 rows 4 T F F F F F 1 5 F T T T T T Column 1 – 1/2 = ½ T and F (1/2 of 8 6 F T F T T T is 4) 7 F F T T T T 8 F F F T T F When are all of the premises true? Rows 1, 5, 6, 7, 8 Is the conclusion true in each of√ √ √ √ X The argument must be INVALID. Logic I Week 4 09/08 Example 2 – question (f.) P1 P2 ؞ K L M N K כL M כN (K כ L) · כMN) K ᵛ M L ᵛ N 1 T T T T T T T T T 2 T T T F T F F T T 3 T T F T T T T T T 4 T T F F T T T T T 5 T F T T F T F T T 6 T F T F F F F T F 7 T F F T F T F T T 8 T F F F F T F T F 9 F T T T T T T T T 10 F T T F T F F T T 11 F T F T T T T F T 12 F T F F T T T F T 13 F F T T T T T T T 14 F F T F T F F T F 15 F F F T T T T F T 16 F F F F T T T F F When are all of the premises true? Rows 1, 3, 4, 9, 13 Is the conclusion true in each√ √ √ √ √? The argument must be VALID. HOMEWORK # 7 DUE 09/13: PG 313 B 12, 13, 14 (Make truth tables using the “crutch” method, which means you can split the premises or conclusion to make them easier to calculate, like in Example 2 above.) NOTE: EXAM 1 RESCHEDULED TO THU. 09/22 I WILL POST A STUDY GUIDE NO LATER THAN SUNDAY, 09/18.

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