- 8 Supply The Reasons For Each Step Needed To Show That The Following Argument Is Valid A The Chairman On The Board Of 1 (86.37 KiB) Viewed 63 times
8. Supply the reasons for each step needed to show that the following argument is valid. a) The Chairman on the board of XYZ Automobile Company was strongly urging that the company purchase Ace Rubber Company. He based his recommendation on the following argument. "If we buy Ace Rubber Co., then we can make our own tires. Our earnings will be higher if we sell our cars cheaper. People will invest in our company provided that our earnings are higher. Now, it is impossible to make our own tires and not sell our cars cheaper. Therefore, if we buy Ace Rubber Co. then the people will invest in our company. b) At the end of a long and heated trial, the defense attorney sums up his case as follows: "If my client were guilty (G), then he must have been at the scene of the crime (A). It is certainly not true that he was at the scene of the crime and at the same time was out of town (O). Now, if the witness who identified my client as being out of town was not mistaken (-M), then my client must have been out of town. But, the Prosecution Attorney was not able to prove that the witness was mistaken. Therefore, my client is not guilty." On the basis of this summation, should the defendant be found guilty or not guilty? c) Hypothesis: (Conditional Proof) d) Hypothesis: P→R Q→R (PVQ) → R e) Hypothesis: P P→ Q SVR RQ :. SVT PROOF 1. P 2.P Q 3.SVR 4.RQ 5.0 6. R 7.S 8.SVT REASON (PAQ) ¬R Q PR :. R f) Hypothesis: (Indirect Proof) ¬QVR P→→R Q P PROOF 1.-Q VR 2. PR 3.Q 4. P/f → R 5.Q 6. R 7.-P 8. PAP 9.f REASON