Chs. 2, 6, and 4

# Chs. 2, 6, and 4 - 1 PHIL 111 Inductive Logic Class...

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1 PHIL 111: Inductive Logic Class problems Chapters 2, 6, and 4 Chapter 2: Induction a. Population to sample: Ex. b. Sample to population: Ex. c. Sample to sample: Ex. d. Argument from authority: Ex. e. Testimony: Ex. f. Inference to the best explanation: Ex. g. Decision theory: Ex. Chapter 6: The basic rules of probability Rule 1: If a proposition is a tautology, then the probability is equal to 1. Rule 2: If a proposition is a self-contradiction, then the probability is equal to 0. Rule 3: If two propositions are logically equivalent, then they have the same probability. Suppose that the Pr(p) = ½ and Pr(q) = 1/4 . Find the probabilities of the following complex statements using Rules 1-3 and the Boolean truth table method. As well, indicate the rule that you used to determine the probability. a. p p b. q q c. q ~q d. ~(q ~q) e. ~(p ~p) f. ~~(p ~p) g. p (q ~q) h. q (p ~p) Rule 4 [additivity]: If p and q are mutually exclusive, then the Pr(p q) = Pr(p) + Pr(q) Ex. What is the probability of drawing a two or five on a fair die? Rule 5: Pr(~p) = 1 – Pr(p)

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## This note was uploaded on 06/07/2011 for the course PHIL 111 taught by Professor Everett during the Fall '08 term at South Carolina.

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Chs. 2, 6, and 4 - 1 PHIL 111 Inductive Logic Class...

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