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Part 2 module 5 analyzing premises, forming ...

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Valid conclusion by merely restating one of the premises and calling it the conclusion. ... examples of arguments having trivial valid conclusions. 15 pages
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PART 2 MODULE 5ANALYZING PREMISES, FORMING CONCLUSIONSFirst, we define a Trivial Valid ConclusionNo matter how poorly formulated an argument may be, it is always possible to form avalid conclusion by merely restating one of the premises and calling it the conclusion.Such a conclusion is called a trivial valid conclusion.EXAMPLES OF ARGUMENTS HAVING TRIVIAL VALID CONCLUSIONS1. It is raining.Therefore, it is raining.2. My feet hurt and I'm having a bad hair day.Therefore, my feet hurt.3. If I work hard, then I will succeed.I succeeded.Therefore, I succeeded.In the work that follows, we will analyze collections of premises in order to recognizewhether valid conclusions are possible. In all cases, we will exclude trivial conclusions.We begin this module with a summary of important results observed in Unit 2, Module 1.SUMMARY: SOME COMMON PATTERNS OF VALID REASONINGDIRECT REASONING CONTRAPOSITIVE REASONING!p " qp#q!p " q~ q#~ pDISJUNCTIVE SYLLOGISMS TRANSITIVE REASONING!p " q~ q#p!p " q~ p#...