Critical Reasoning Exam

FINAL EXAM STUDY GUIDE

I. CATEGORICAL PROPOSITIONS

1. Put the following two statements into standard form; identify the subject and predicate class

terms, the quality, and the quality, and name the form (A, E, I, or O). See Exercise 6.1B

2. For each pair of propositions, given that the first one is true, determine whether the second

proposition is true, false or undetermined, in accordance with the Traditional Square of

Opposition. See Exercise 6.2

3. State the converse (or obverse or contrapositive) of the following proposition. Indicate whether

the proposition and its converse (or obverse or contrapositive) are equivalent. See Exercise 6.5C

II. CATEGORICAL SYLLOGISMS

4. Put the following syllogism into standard form. Identify the major, minor and middle class

terms. Identify the mood and figure. Then use the rules to determine whether the argument is

valid or not. If it is invalid, state all rules that it violates. See Exercise 7.4B- B

5. For the following syllogism, use the Venn Diagram test to determine whether the syllogism is

valid. See Exercise 7.5A

III. PROPOSITIONAL LOGIC – PROPOSITIONS

6. Identify the main connective in each of the following two statements. See Exercise 9.2 A

7. Put each of the following two statements into symbolic notation, using appropriate letters to

abbreviate atomic components. Provide a translation manual – i.e., what statements are

represented by what letters. See Exercise 9.2B

IV. PROPOSITIONAL LOGIC - PROOFS OF VALIDITY

8. Each of the following two arguments is an instance of one of the nine inference rules. Identify

the form. See Exercise 10.3A-A & 10.3B-A

9. For the following proof, state the justification for each step. See Exercise 10.3C-A

10. Show that the following argument is valid by constructing a proof. See Exercise 10.3C-B