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PHIL140 (02) Critical Thinking

Exam #2: Categorical Logic

Instructor: Dr. George Williamson

Date: Mar. 7, 2007

Time: 50 mins

Please: do not begin until told to.

Name: ___________________________________________

Student # (if available): _____________________________

Instructions:

Look over the whole exam: make sure you understand what is

required.

No notes or books allowed. (Exception: dictionary)

No talking to neighbors permitted.

Use pencil on Opscan sheet.

Exam breakdown:

A. Multi-choice: 17 points

B. Translations: 18 pointsC. Testing Validity: 20 points

55 points

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A. Multi-choice

Select the correct, or best, answer by filling in the Opscansheet.

Scoring: 1 point each

1. Statements that have contrapositiveshave the forms:

2. The minor term is:

3. Two statements that are obversions:

4. The contrapositive of Some fascists are

not violent is:

(F = fascists; V = violent persons)

5. Contradictories:

6. Statements that have sub-contraries have

the forms:

7. Can the following statement be put in

standard form?

All non-violent persons are nice.

8. The I statement is:

a. A and Eb. E and I

c. E and O

d. A and O

a. the subject of the main premise

b. the subject of the conclusion

c. the common term between the premises

d. the predicate of the major premise

a. can both be true, but not false

b. where one is true the other is false and vice versac. cannot both be true but can both be false

d. are either both true or both false

a. Some non-V are not F.

b. Some non-F are not non-V.

c. Some non-V are not non-F.

d. Some non-F are non-V.

a. can both be true, but not false

b. where one is true the other is false and vice versa

c. cannot both be true but can both be false

d. are either both true or both false

a. A and E

b. I and O

c. E and O

d. A and I

a. Yes, by conversion

b. Yes, by obversion

c. Yes, by contrapositiond. No

a. universal affirmative

b. particular affirmative

c. particular negative

d. universal negative

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9. An E statement has:

10. All S are non-P is the ____ ofNo S are P.

11. The middle term is:

12. Contraries:

13. Put in standard form, Some temperate

persons are not non-drinkers is:

(D = drinkers; T = temperate persons)

14. The obverse of Some lizards are non-

slimy is:

(L = lizard; S = slimy)

15. No S are P is the ____ of

Some S are P.

16. Put in standard form, Some non-

amphibians are aquatic creatures is:

(M = amphibians; Q = aquatic creatures)

17. All non-sailors are non-scurvy dogs

is equivalent to:

a. a contrapositive and an obverse

b. a contradictory and a contrapositive

c. an obverse and a converse

d. a sub-contrary and a contradictory

a. contradictoryb. obversion

c. sub-contrary

d. contrapositive

a. the subject of the main premise

b. the predicate of the conclusion

c. the common term between the premises

d. the predicate of the major premise

a. can both be true, but not false

b. where one is true the other is false and vice versac. cannot both be true but can both be false

d. are either both true or both false

a. Some T are D

b. Some T are non-D

c. Some T are not D

d. Some D are not T

a. Some L are S

b. Some L are not S

c. Some non-L are not non-S

d. Some S are non-L

a. contradictory

b. obversion

c. sub-contrary

d. contrapositive

a. Some M are not Q

b. Some non-Q are M

c. Some Q are not Md. Some Q are M

a. No sailors are scurvy dogs.

b. All scurvy dogs are sailors.

c. All sailors are scurvy dogs.

d. No scurvy dogs are sailors.

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B. Translations

Put these categorical statements in standard form, giving a dictionary of the terms you use.

Scoring: 3 points

1. None of the Conservative MPs voted for themotion.

2. There are times when it is not a good idea to

speak your mind.

3. The easiest course is not always the most

satisfying.

4. Canadian troops are stationed in Afghanistan.

5. Stephen Harper wants to stack the judiciary

with his clones.

6. Only Scots can be true Highlanders.

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C. Testing for Validity

Put each syllogism in standard form, translating sentences where necessary and providing a

dictionary. Then test each for validity on the Venn diagram, circling the correct answer.

Scoring: 5 points each

1. Look, vintage comics are not antiques; if something is less than 100 years old, it is not an antique

and vintage comics are less than 100 years old.

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2. Everyone who smokes pot goes on to try smack and everyone who tries smack becomes an

addict. Therefore, everyone who smokes pot becomes an addict.

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3. No epic poems are comedies. Some epic poems are not sagas. So, Some comedies are sagas.

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4. All governments that fall were weak in the first place, but some governments that fall were

undermined by the CIA; so, some things that were weak in the first place are things that were

undermined by the CIA.

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