PART D: Argument Forms and Well-Crafted Arguments Write well-crafted version of each of the following arguments. Indicate which steps support each subconclusion. Also, identify the following forms wherever they appear: modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, and constructive dilemma. To save laborious writing, use capital letters (as indicated) to stand for the statements composing the arguments.

2. It is wrong to risk one's life unnecessarily. But given that it is wrong to risk one's life unnecessarily, it is wrong to race autos. Hence, it is wrong to race autos. And if it is wrong to race autos, then the Indy 500 should be banned, even though most Americans enjoy watching it. Therefore, the Indy 500 should be banned. (W: It is wrong to risk one's life unnecessarily; A: It is wrong to race autos; I: The Indy 500 should be banned.)

6. Either the order in the world is due merely to chance or the order in the world is due to intelligent design. The order in the world is not due merely to chance. So, the order in the world is due to intelligent design. Now, there is a God, assuming that the order in the world is brought about by intelligent design. Hence, God exists. (O: The order in the world is due merely to chance; D: The order in the world is due to intelligent design; G: God exists.)

8. Either the defendant should be put to death or he should be permanently hospitalized. For either the defendant is guilty or he is insane. And assuming that he is guilty, he should be put to death. But assuming that he is insane, he should be permanently hospitalized. Obviously, the defendant should not be put to death if the evidence is less than compelling. And the evidence is less than compelling. So, the defendant should not be put to death. And hence, the defendant should be permanently hospitalized. (D: The defendant should be put to death; H: The defendant should be permanently hospitalized; G: The defendant is guilty; I: The defendant is insane; E: The evidence is less than compelling.)