Review Test Submission: Quiz 7 University of British Columbia PHIL 120 (Questions and Answers)

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H Learning Modules Module 7: Non­Classical Propositional Logics Review Test Submission: Quiz 7




Review Test Submission: Quiz 7


User Shu Kai Yan
Course 2015WC­PHIL120­99C­Introduction to Critical Thinking­99C Jan 2016
Test Quiz 7
Started 3/13/16 10:16 PM
Submitted 3/13/16 10:54 PM
Due Date 3/14/16 11:59 PM
Status Completed
Attempt 11.00001 out of 15 points
Score
Time 38 minutes out of 1 hour and 30 minutes
Elapsed
Instructions General Instructions:

Quiz 7 consists of 5 questions. You are given 1.5 hour (90 minutes) to complete this
quiz.

Question 1:

Determine the truth value of the given propositions in system RP.

Questions 2­4:

Determine whether the given propositions are tautologies, contingencies, or
contradictions in systems P, RP, and Łucasiewicz’s three­valued logic.

Question 5:

Determine whether the given arguments are valid or invalid in systems P, RP, and
Łucasiewicz’s three­valued logic.

IMPORTANT:
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Results All Answers, Submitted Answers, Correct Answers, Feedback, Incorrectly Answered Questions
Displayed


Question 1 1.00002 out of 3 points

Suppose the propositions A, B, and C are as given below. Suppose further that A, B, and C
are all true. Determine the truth values of each of the following formulas of (non­classical
relevance logic) system RP.

A = "Socrates was a philosopher", B = "Socrates lived in Greece", C = "Einstein was a
physicist":

Question Correct Match Selected Match

B → (A V ¬C) 2. False 1. True


¬(A & B) C 2. False 1. True


¬(B A) (B ¬C) 1. True 1. True


All Answer Choices

1. True

2. False

Response Topics mentioned in the atomic propositions:
Feedback:
Topics in A: "Socrates", "being a philosopher";
Topics in B: "Socrates", "living in Greece";
Topics in C: "Einstein", "being a physicist".

Question 1.1:

Topics mentioned in (the molecular proposition) ¬C: "Einstein", "being a
physicist" [same as in C].

So, A and ¬C are not related, i.e., ~R(A, ¬C), since A and ¬C have no common
topic.

So, (A V ¬C) is False no matter what the truth values of the overall formula's
constituent parts are, i.e., no matter what the truth values of A and ¬C are.

Next step:

Topics mentioned in (the molecular proposition) (A V ¬C): "Socrates", "being a
philosopher", "Einstein", "being a physicist" [the union of topics in A and in ¬C].

So, B and (A V ¬C) are related, i.e., R(B, (A V ¬C)), via "Socrates" and "being a
philosopher".
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