Project 6 Part I : A- B Directions 1-22 Write your NAME on the answer sheet For each argument, for each step that you see Answer # in the STATEMENT COLUMN, fill in the correct missing statement on the Answer Form next to the number indicated. For example in an argument you might see in the Statement Column, that Answer 4 listed for a step 11. So then write the correct statement for that step in Answer 4 on your Answer Form. In a similar way, you will see Answer # in the REASON COLUMN. Fill in the correct reason, on the Answer Form next to the number indicated. YOU MUST USE THE CODES BELOW FOR THE MISSING REASONS. Use the following codes in your responses to the missing Reason. Argument Equivalence Reasons Reasons P Premise DM DeMorgan PCM Premise for Conditional Method CD Conditional PIM Premise for Indirect Method CP Contrapositive MP Modus Ponens CTD Contradiction MT Modus Tollens DS Disjunctive Syllogism DA Disjunctive Addi CS Conjunctive Simplification CA Conjunctive Add Page 1 of 6 Part I Argument A A ( B C) A /\\ ( D \\/ E) ~ ( ~ B \\/ D ) ( C /\\ E ) Part I Argument B D ~ ( C \\/ B ) AC A ~ D Part I Argument A ( 1 - 10) Step 1 2 3 4 5 6 7 8 9 10 11 12 13 Reason P CS ANSWER 5 ANSWER 6 PCM DM ANSWER 7 ANSWER 8 CS ANSWER 9 ANSWER 10 CA CONCLUSION Part I Argument B ( 11 - 22) Step 1 2 3 4 5 6 7 8 9 10 11 12 Page 2 of 6 Statement A /\\ ( D \\/ E ) ANSWER 1 A ( B C) BC ~ ( ~ B \\/ D) ANSWER 2 B C ANSWER 3 ~D E ANSWER 4 ~ ( ~ B \\/ D ) ( C /\\ E ) Step Statement ~(A~D) ANSWER 11 A /\\ D ANSWER 12 ANSWER 13 C ANSWER 14 D ~ ( C \\/ B) ANSWER 15 Reason ANSWER 17 CD ANSWER 18 ANSWER 19 P ANSWER 20 CS ANSWER 21 MP ~ C /\\ ~ B ANSWER 16 A~D ANSWER 22 CS CTD Part II : A- B Directions 23 -40 In each argument, for each step that you see Answer # in the REASON COLUMN, fill in the correct CODE for the Reason, on the Answer Form next to the number indicated. YOU MUST USE THE CODES BELOW FOR THE MISSING REASONS. Use the following codes in your responses to the missing Reason. Argument Equivalence Reasons Reasons P Premise DM DeMorgan PCM Premise for Conditional Method CD Conditional PIM Premise for Indirect Method CP Contrapositive MP Modus Ponens CTD Contradiction MT Modus Tollens DS Disjunctive Syllogism DA Disjunctive Addi CS Conjunctive Simplification CA Conjunctive Add Page 3 of 6 Part II Argument A ( 24 - 32) Part II Argument A ( C /\\ ~ B ) \\/ ( B /\\ ~ D ) CA ~ A \\/ E ~ E___ B Step 1 2 3 4 5 6 7 8 9 10 Page 4 of 6 Reason Answer 23 Answer 24 Answer 25 Answer 26 Answer 27 Answer 28 Answer 29 Answer 30 Answer 31 Answer 32 Part II Argument B ( 33 -40) Part II Argument B ~B~A B ( C \\/ D ) ( A /\\ ~ C ) D Statement ~ A \\/ E ~E ~A CA ~C ~ C \\/ B ~ ( C /\\ ~ B ) ( C /\\ ~ B ) \\/ ( B /\\ ~ D ) B /\\ ~ D B Step 1 2 3 4 5 6 7 8 9 Statement A /\\ ~ C A ~B~A B B ( C \\/ D ) C \\/ d ~C D ( A /\\ ~ C ) D Reason Answer 33 Answer 34 Answer 35 Answer 36 Answer 37 Answer 38 Answer 39 Answer 40 PROVED Part III : Directions For answers to 41 - 50 Each argument below is valid and it can be shown to be a valid argument form with using just one equivalence. From the List A below, choose the letter for the argument form that best fits the given argument. Your odd numbered answers, 41, 43, 45, 47, 49 should be argument forms. From the List B below choose the letter for the equivalence form that best completes the correct argument form. Your even numbered answer 42, 44, 46, 48, 50 should be equivalences Use the following codes in your responses. List A List B Argument Reasons Equivalence Reasons P Premise DM DeMorgan PCM Premise for Conditional Method CD Conditional PIM Premise for Indirect Method CP Contrapositive MP Modus Ponens CTD Contradiction MT Modus Tollens DS Disjunctive Syllogism DA Disjunctive Addition CS Conjunctive Simplification CA Conjunctive Addition Page 5 of 6 41 -42 ( C /\\ ~ B ) ( B /\\ ~ D ) ~ ( ~ C \\/ B ) B /\\ ~ D 43- 44 A ( B /\\ D ) ~ B \\/ ~ D ~A 45- 46 ~ ( A /\\ B) ~ C A ____ ~ ( A /\\ B ) /\\ ( C \\/ A ) 41) What is Argument Form ? (From List A above) 42) What is Equivalence ? (From List B above) 43) What is Argument Form ? (From List A above) 44) What is Equivalence ? (From List B above) 45) What is Argument Form ? (From List A above) 46) What is Equivalence ? (From List B above) 47- 48 47) A \\/ ( B ~ C ) ~A ~ B \\/ ~ C What is Argument Form ? (From List A above) 48) What is Equivalence ? (From List B above) 49- 50 49) ( ~ A \\/ B ) /\\ ~ C ~ ( A /\\ ~ B) What is Argument Form ? (From List A above) 50) What is Equivalence ? (From List B above) End of Practice Project 6 Page 6 of 6