Sinnott-Armstrong & Fogelin (SAF), III.1 Since Chicago is north of Boston, and Boston is north of Charleston, Chicago is north of Charleston. 1.Chicago.

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Sinnott-Armstrong & Fogelin (SAF), III.1 Since Chicago is north of Boston, and Boston is north of Charleston, Chicago is north of Charleston. 1.Chicago is north of Boston. 2.Boston is north of Charleston. 3.  Chicago is north of Charleston. (from 1,2)

SAF, III.5 Other airlines will carry more passengers, because United Airlines is on strike. 1.United Airlines is on strike. 2.  Other airlines will carry more passengers. (From 1)

SAF, III.5 Other airlines will carry more passengers, because United Airlines is on strike. 1.United Airlines is on strike. 2.  Other airlines will carry more passengers. (From 1)

SAF, III.5, made valid 1.If United Airlines is on strike, then other airlines will carry more passengers. 2.United Airlines is on strike. 3.  Other airlines will carry more passengers. (From 1,2)

Exercise 1 No plants are sentient. All morally considerable things are sentient.  No plants are morally considerable. VALID.

Exercise 2 All mathematical truths are knowable. All mathematical truths are eternal.  All that is knowable is eternal. INVALID. Suppose there is something knowable that is not a mathematical truth and that is not eternal, e.g., that I am experiencing a headache. Then it could still be the case that all mathematical truths are knowable and eternal, but that something knowable is not eternal.

Exercise 3 Most geniuses have been close to madness. Blake was a genius.  Blake was close to madness. INVALID. Suppose that Blake was one of the few geniuses that was well-adjusted. Then it could still be the case that most geniuses have been close to madness and Blake was a genius, but that Blake was nevertheless not close to madness.

Exercise 6 Some angels are fallen.  Some angels are not fallen. INVALID. Suppose that all angels are fallen. Then it would still be the case that some angels are fallen, but nevertheless not be the case that some angels are not fallen.

Exercise 7 To know something is to be certain of it. We cannot be certain of anything.  We cannot know anything. VALID.

Step 1: Innocence Argument, 1 st Pass 1)It is always morally wrong to kill an innocent human being. 2) Abortion involves killing a human fetus. 3) A human fetus is a human being. 4)A human fetus is innocent. 5)  Abortion is always morally wrong.

Step 2: What’s wrong with Premise (1)? 1.Some mentally ill people threaten the lives of others. 2.In such cases, mentally ill people are innocent. 3.It is not morally wrong to kill such people in self- defense. – So (1) is false: It is not always morally wrong to kill an innocent human being. I call this an objection to the Innocence Argument

Steps 3&4: Innocence Argument, 2 nd Pass (1*) It is always morally wrong to kill an innocent human being, except in self- defense. 2) Abortion involves killing a human fetus. 3) A human fetus is a human being. 4)A human fetus is innocent. 5)  Abortion is always morally wrong.

Step 5: Innocence Argument, 3 rd Pass (1*) It is always morally wrong to kill an innocent human being, except in self- defense. 2) Abortion involves killing a human fetus. 3) A human fetus is a human being. 4)A human fetus is innocent. 5)  Abortion is always morally wrong. 5*)  Abortion is always morally wrong, except in the case of self-defense. 5*)  Abortion is always morally wrong, except in the case of self-defense.

Time Permitting… More exercises

Further challenges to the Innocence Argument (1*) It is always morally wrong to kill an innocent human being, except in self- defense. 2) Abortion involves killing a human fetus. 3) A human fetus is a human being. 4*)A human fetus is innocent. 5)  Abortion is always morally wrong. 5*)  Abortion is always morally wrong, except in the case of self-defense. 5*)  Abortion is always morally wrong, except in the case of self-defense.

Exercise 10 The witnesses said that either one or two shots were fired at the victim. Two bullets were found in the victim’s body.  Two shots were fired at the victim. INVALID. Suppose that one shot was fired at the victim, and another was the victim’s own bullet that struck him due to a misfire of his gun. Then it could still be the case that the witnesses said that either one or two shots were fired at the victim, two bullets were found in the victim’s body, but two shots were not fired at the victim.

Exercise 14 DNA contains the code of life. Life is sacred.  It is wrong to manipulate DNA. INVALID. Suppose that it is proper to manipulate certain sacred things, as we do when we build or fix an altar. Then it could still be the case that DNA contains the code of life and that life is sacred, but that it is correct to manipulate DNA. ALTERNATIVELY, suppose that, because DNA contains the code of life, manipulating it is the way to preserve the sacredness of life, e.g., by saving people from hereditary diseases.