Symbolization Exercises Unit 2 Part 2

Symbolization Exercises Unit 2 Part 2 - UNIT 2...

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Unit 2: Symbolization Exercises 2 Niko Scharer 1 UNIT 2: SYMBOLIZATION EXERCISES 2 Symbolizing with Conjunction, Disjunction and Biconditional Symbolize each of the following sentences using the abbreviation scheme provided: P: Polly will pass the course. T: Quincy will take the exam. Q: Quincy will pass the course. U: Quincy will study. R: Ryan will pass the course. W: The professor is insane. S: Polly will study. V: The course is too difficult. S2.01 Polly and Quincy will pass the course. S2.02 Although the course is too difficult, Polly will pass it. S2.03 Polly will pass the course but Quincy will not. S2.04 Either the professor is insane or the course is too difficult. S2.05 Even though Polly will study, she will not pass the course. S2.06 Ryan and Quincy will not both pass the course. S2.07 Neither Polly nor Quincy will study. S2.08 Quincy will study, take the exam and pass the course. S2.09 Only if the professor is not insane, will Quincy take the exam and pass the course. S2.10 If the course is too difficult, Polly will fail the course even though she studies. S2.11 If Polly, Quincy and Ryan all pass the course then the course is not too difficult. S2.12 If Polly, Quincy or Ryan passes the course then the course is not too difficult. S2.13 Both Quincy and Polly will study, however neither of them will pass the course. S2.14 If the course is too difficult, then it is not the case that both Polly and Quincy will pass the course. S2.15 Polly will pass the course if and only if Quincy does. S2.16 Unless the professor is insane, Quincy and Polly will pass on the condition that they both study. S2.17 Quincy will pass the course if and only if he studies and takes the exam. S2.18 If the professor is not insane and the course is not too difficult, then Polly will pass the course if she studies. S2.19 If the course is not too difficult, Quincy will take the exam and pass the course just in case he studies. S2.20 Polly, Quincy or Ryan will pass the course, but the other two won’t. S2.21 At least two of them (Polly, Quincy and Ryan) will pass the course. S2.22 No more than one of Polly, Quincy or Ryan will pass the course. S2.23 No more than two of them (Polly, Quincy and Ryan) will pass the course.
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Unit 2: Symbolization Exercises 2 Niko Scharer 2 P: The Conservatives win the election. U: The Liberals dominate in Ontario. Q: The Liberals win the election. V: The PC dominate in Quebec. R: The NDP wins the election. W: The Liberals choose a new leader. S: There will be a majority government. X: The Conservatives choose a new leader. T: There will be a minority government. Y: There is an election. S2.24 If the Liberals choose a new leader, they will win the election only if they dominate in Ontario.
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