PHI 1101 Chapter Notes - Chapter 1: Principle Of Bivalence, Logical Form, Enthymeme
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PHI 1101 Full Course Notes
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Summary: logical strength and inductive and deductive arguments. A disjunction is a complex proposition that has the form either p or q. Either you had white milk or you had chocolate milk. One is either a cat person or a dog person. Therefore, socrates is a cat person (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) (cid:1) One way to show that a proposition is false is to show that a contradiction follows from it (cid:1) (cid:1) Demonstrate that the proposition socrates is an olympian god is. C1: therefore, socrates is immortal (by p2) and mortal (by p3). C2: therefore, the statement socrates is an olympian god"" is false. (by reductio ad absurdum) (cid:1) Explanation: the law of non-contradiction: contradictions cannot be true. Therefore, any proposition that implies a contradiction cannot be true (cid:1) Now we can take this one step farther: if one proposition is false, its negation must be true (cid:1)