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Chapter 1, Unit D Analyzing Arguments
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Essential Question How do we determine whether an argument is well constructed and compelling?
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Inductive Argument Specific premises, general conclusion
Conclusion cannot be proven true/false Evaluated on STRENGTH (but this is using personal judgement) Strong: compelling case for conclusion Weak: conclusion not well supported by premises
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Inductive Argument Example 1 (from #24) Premise: If I pay more for a pair of running shoes, they last longer Premise: If I pay more for an automobile, it requires fewer repairs Conclusion: Quality goes with higher prices
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Inductive Argument Example 2 (from #26) Premise: Apes and baboons have hair and they are mammals Premise: Mice and rats have hair and they are mammals Premise: Tigers and lions have hair and they are mammals Conclusion: Animals with hair are mammals
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Deductive Argument General premise, specific conclusion
Valid: Does the conclusion follow necessarily from premises? No personal judgement Nothing to do with truth of premise or conclusion Sound: Are the premises true?
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Deductive Argument: invalid but true conclusion
Example 3 (from #30) Premise: All dairy products contain protein Premise: Soybeans contain protein Conclusion: Soybeans are dairy products
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Deductive Argument: invalid argument
Example 4 (from 36) Premise: No country is an island Premise: Iceland is a country Conclusion: Iceland is not an island
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Conditional Deductive Argument: Affirming the Hypothesis (Valid)
If p, then q (p is true so q is true) Example 5 (from #38) Premise: If it is a bird, then its young are hatched from eggs Premise: Condor are birds Conclusion: Condor chicks are hatched from eggs
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Conditional Deductive Argument: Affirming the conclusion Invalid)
If p, then q (q is true so p is true) Example 6 (from #40) Premise: If you live in Boston, you live in Massachusetts Premise: Bruno lives in Massachusetts Conclusion: Bruno lives in Boston
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Conditional Deductive Argument: Denying the Hypothesis (Invalid)
If p, then q (p is not true so q is not true) Example 7 (from #39) Premise: If you live in Boston, you live in Massachusetts Premise: Amanda does not live in Boston Conclusion: Amanda does not live in Massachusetts
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Conditional Deductive Argument: Denying the Conclusion(Valid)
If p, then q (q is not true, so p is not true) Example 8 (from #41) Premise: If a figure is a triangle, then it has three sides Premise: Squares have four sides Conclusion: Squares are not triangles
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