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Number the statements in the following arguments. Then diagram the arguments. (10 points each.) 1.The economic should soon speed up. Unemployment is high. So labor costs will go down. For this reason, there will be a decrease in the cost of goods, and thus there will be an increase in consumer spending. Increased spending speeds up the economy. |
| 2. [Thom's]
analysis showed that some of the "circles" are ... true ellipses.
... An ellipse is not an easy figure to visualize, nor to construct, but
Thom thinks that the megalithic builders [prehistoric Britons] did both.
He concludes that the prehistoric Britons "had a good working knowledge
of elementary geometry..." Gerald Hawkins, Stonehenge Decoded |
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| 3. With steroids you become very injury prone. So you get a lot of minor injuries with players on steroids. And that's why I suspect Jerry uses them. He has a lot of minor injuries. |
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| 4. Construct an argument for or against the following claim: The University of Georgia should be allowed to use race as one of many criteria in evaluating applications for admission. Including the conclusion, your argument should involve at least five different statements. Your argument should not violate the rule of grouping or the rule of direction. Identify and number the statements in your argument, then diagram your argument. (22 points.) |
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| Symbolize
the following arguments showing all the logical connectives used. Circle
the letter in each atomic sentence that you will use in your symbolization.
(12 point each.)
5. Either Obama or Clinton will be the Democratic presidential candidate. If Obama is the Democratic candidate and McCain is the Republican candidate, then Obama will win the election. So since McCain is going to be the Republican candidate, Obama will win the election unless Clinton wins the Democratic nomination. |
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| 6. A necessary and sufficient condition for Georgia to be national champions is that Georgia wins the top-ranked BCS bowl game. Georgia won't win the top ranked BCS bowl game unless they receive an invitation, and they won't receive an invitation unless they win all their pre-bowl games. A sufficient condition for Georgia to win an SEC championship is that the team wins all its games against SEC opponents. If Georgia wins all its pre-bowl games, then it will win all its SEC games. So if Georgia is national champion, it will also be the SEC champion. |
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| 7. Killifish either lay eggs or give live birth. If killifish give live birth and live in locations where their pools of water completely dry up, then their young would not survive until the next rainy season and there would be no killifish after one dry season. But killifish do live in locations where their pools of water completely dry up, yet new killifish appear after each dry season. So killifish must lay eggs. |
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| 8. Bob will not go to the dance unless Sue goes with him. Sue will go to the dance with Bob only if she does not have an exam on Monday. If Sue and Bob have the same classes, then a sufficient condition for Sue to have an exam on Monday is that Bob has an exam on Monday. So if Bob has an exam on Monday, he will not go to the dance. |
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