The Greek philosopher Aristotle (384322 b.c.e.) studied under Plato and tutored

Chapter 1, Problem 31

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The Greek philosopher Aristotle (384322 b.c.e.) studied under Plato and tutored Alexander the Great. His studies of logic influenced philosophers for hundreds of years. His four perfect syllogisms are identified by the names given them by medieval scholars. For each, formulate the argument in predicate logic notation and then provide a proof. a. Barbara All M are P All S are M Therefore all S are P b. Celarent No M are P All S are M Therefore no S are P c. Darii All M are P Some S are M Therefore some S are P d. Ferio No M are P Some S are M Therefore some S are not P

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