11. NEED TO COMPLETE WHAT HAS ALREADY BEEN WRITTEN Use a direct proof to show th

Question

11. NEED TO COMPLETE WHAT HAS ALREADY BEEN WRITTEN

Use a direct proof to show that the following argument is valid.

Need to add the lines to finish the proof. The first box should be the proof, second two boxes should reference the line numbers, the last box should say which rule we are using. Thank you in advance!!

2 FvY 1 Simp 6 D 5 3 MP 5 6 Conj 7 4 MP 8 6 9 MT 2 10 DS 8 7(ND E) Simp 10 F 11 Y VCheck VCheck Simp 13 Modus Ponens MP Modus Tollens MT Hypothetical Syllogism HS Disjunctive Syllogism DS Constructive Dilemma CD Simplification Simp Conjunction Conj Addition Add Add Line X Delete Line Check Proof

Explanation / Answer

The steps are as follows:

13. Y ? ~Z     8    Simp
14 ~Z         11 13 MP
15 ~Z v (S·K) 15    Addition
   

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