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| 1 | |
Put the following argument into symbolic form and test for validity. Use the short truth-table method to show that an invalid argument is, indeed, invalid. Then choose the correct answer below. "Andy and Charles are both going fishing. If Barbara goes rock climbing, Diane will run. If Diane runs, Andy won't go fishing. So Barbara isn't going rock climbing." |
| | A) | Valid |
| | B) | Invalid |
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| 2 | |
Put the following argument into symbolic form and test for validity. Use the short truth-table method to show that an invalid argument is, indeed, invalid. Then choose the correct answer below. "Barbara is going rock climbing if Charles goes fishing. Andy is going fishing if Diane doesn't run. Therefore, if Andy doesn't go fishing and Barbara doesn't go rock climbing, then either Charles isn't going fishing or Diane is running." |
| | A) | Valid |
| | B) | Invalid |
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| 3 | |
Put the following argument into symbolic form and test for validity. Use the short truth-table method to show that an invalid argument is, indeed, invalid. Then choose the correct answer below. "Andy is going fishing unless Barbara goes rock climbing. Barbara won't go rock climbing if Charles and Andy go fishing. Only if Diane runs will Charles not go fishing. So Andy's going fishing." |
| | A) | Valid |
| | B) | Invalid |
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| 4 | |
Put the following argument into symbolic form and test for validity. Use the short truth-table method to show that an invalid argument is, indeed, invalid. Then choose the correct answer below. "Andy is going fishing unless Barbara goes rock climbing. Barbara won't go rock climbing if Charles goes fishing and Andy doesn't. Diane will run and Charles will go fishing. So Andy's going fishing." |
| | A) | Valid |
| | B) | Invalid |
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| 5 | |
Put the following argument into symbolic form and test for validity. Use the short truth-table method to show that an invalid argument is, indeed, invalid. Then choose the correct answer below. "Andy is going fishing if Charles is. If they both go fishing, then either Diane won't run or Barbara will go rock climbing. So if Barbara goes rock climbing and Charles doesn't go fishing, Diane will run." |
| | A) | Valid |
| | B) | Invalid |
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| 6 | |
Which of the following best defines the concept, "truth-functionally equivalent"? |
| | A) | Two claims are truth-functionally equivalent when they have the same antecedents and consequents. |
| | B) | Two claims are truth-functionally equivalent when they have the same truth tables. |
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| 7 | |
The word "if" when used alone, introduces which of the following? |
| | A) | the antecedent of a conditional |
| | B) | the consequent of a conditional |
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| 8 | |
The phrase "only if" introduces which of the following? |
| | A) | the consequent of a conditional |
| | B) | the antecedent of a conditional |
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| 9 | |
Which of the following is true of a conjunction of two claims? |
| | A) | It is true if and only if both of the simpler claims that make it up are true. |
| | B) | It is false if and only if both of the simpler claims that make it up are false. |
| | C) | It is false if and only if its antecedent is true and its consequent is false. |
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| 10 | |
Which of the following is true of a disjunction of two claims? |
| | A) | It is false if and only if both of the simpler claims that make it up are false. |
| | B) | It is true if and only if both of the simpler claims that make it up are true. |
| | C) | It is false if and only if its antecedent is true and its consequent is false. |
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| 11 | |
Which of the following is true of a conditional? |
| | A) | It is false if and only if both of the simpler claims that make it up are false. |
| | B) | It is false if and only if its antecedent is true and its consequent is false. |
| | C) | It is true if and only if both of the simpler claims that make it up are true. |
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| 12 | |
How many rows would a truth table need to have for an argument containing 3 terms? |
| | A) | 4 |
| | B) | 8 |
| | C) | 16 |
| | D) | 2 |
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| 13 | |
Which of the following is the best definition of validity? |
| | A) | An argument is valid if its premises are true. |
| | B) | An argument is valid if its conclusion is true. |
| | C) | An argument is valid if its premises are true and its conclusion is true. |
| | D) | An argument is valid if and only if the truth of its premises guarantees the truth of the conclusion. |
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| 14 | |
The short truth table method is different from the standard truth table method in which of the following ways? |
| | A) | The short method is the same as the standard method except that not all the parts of the argument are included in the table. |
| | B) | The short method only considers categorical claims while the standard method considers all claims. |
| | C) | Instead of systematically representing all the possible truth value combinations of the claims in an argument, the short truth table method simply looks for a case where the premises are true and the conclusion false. |
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