Chapter 3: Problem 90
Under which conditions is a disjunction false?
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Chapter 3: Problem 90
Under which conditions is a disjunction false?
These are the key concepts you need to understand to accurately answer the question.
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Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If you tell me what I already understand, you do not enlarge my understanding. If you tell me something that I do not understand, then your remarks are unintelligible to me. \(\therefore\) Whatever you tell me does not enlarge my understanding or is unintelligible to me.
Billy Hayes, author of Midnight Express, told a college audience of his decision to escape from the Turkish prison in which he had been confined for five years: "My thoughts were that if I made it, I would be free. If they shot and killed me, I would also be free." (Source: Rodes and Pospesel, Premises and Conclusions, Pearson, 1997) Hayes's dilemma can be expressed in the form of an argument: If I escape, I will be free. If they kill me, I will be free. I escape or they kill me. \(\therefore\) I will be free. Translate this argument into symbolic form and determine whether it is valid or invalid.
Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If I watch Schindler's List and Milk, I am aware of the destructive nature of intolerance. Today I did not watch Schindler's List or I did not watch Milk. \(\therefore\) Today I am not aware of the destructive nature of intolerance.
Based on the following argument by conservative radio talk show host Rush Limbaugh and directed at former vice president Al Gore. You would think that if \(\mathrm{Al}\) Gore and company believe so passionately in their environmental crusading that [sic] they would first put these ideas to work in their own lives, right? ... Al Gore thinks the automobile is one of the greatest threats to the planet, but he sure as heck still travels in one of them - a gas guzzler too. (See, I Told You So, p. 168) Limbaugh's passage can be expressed in the form of an argument: If Gore really believed that the automobile were a threat to the planet, he would not travel in a gas guzzler. Gore does travel in a gas guzzler. Therefore, Gore does not really believe that the automobile is a threat to the planet. Use Limbaugh's argument to determine whether each statement makes sense or does not make sense, and explain your reasoning. I know for a fact that \(\mathrm{Al}\) Gore does not travel in a gas guzzler, so Limbaugh's argument is invalid.
Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If all people obey the law, then no jails are needed. Some people do not obey the law. \(\therefore\) Some jails are needed.
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