Translate the following syllogistic arguments into standard form, and test their validity by using the syllogistic rules set forth in Chapter 6.Example ProblemSome preachers are persons of unfailing vigor. No preachers are nonintellectuals. Therefore some intellectuals are persons of unfailing vigorExample SolutionThis argument may be translated into: Some preachers are persons of unfailing vigor. (Some P is V.) All preachers are intellectuals. (By obversion: All P is I.) Therefore some intellectuals are persons of unfailing vigor. (Some I is V.) Explain whether the syllogism is valid using the 6 rules (6.4) and mood (6.5).PROBLEMS2. Some metals are rare and costly substances, but no welder’s materials are nonmetals; hence some welder’s materials are rare and costly substances.3. Some Asian nations were nonbelligerents, because all belligerents were allies either of Germany or Britain, and some Asian nations were not allies of either Germany or Britain.4. Some nondrinkers are athletes, because no drinkers are persons in perfect physical condition, and some people in perfect physical condition are not nonathletes.5. All things inflammable are unsafe things, so all things that are safe are nonexplosives, because all explosives are flammable things.6. All worldly goods are changeable things, for no worldly goods are things immaterial, and no material things are unchangeable things.7. All those who are neither members nor guests of members are those who are excluded; therefore no nonconformists are either members or guests of members, for all those who are included are conformists.8. All mortals are imperfect beings, and no humans are immortals, whence it follows that all perfect beings are nonhumans.9. All things present are nonirritants; therefore no irritants are invisible objects, because all visible objects are absent things.10. All useful things are objects no more than six feet long, because all difficult things to store are useless things, and no objects over six feet long are easy things to store.
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