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

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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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