# tools for logical thinking categorical propositions and syllogisms

5.

According to the traditional square of opposition, the relation between â€œSome octogenarians are regular votersâ€ and â€œSome octogenarians are not regular votersâ€ is:

A) Contrariety

B) Subalternation

C) Subcontrariety

D) Contradiction

6.

According to the traditional square of opposition, the relation between, â€œNo Minnesotans are Vikings fansâ€ and â€œAll Minnesotans are Vikings fansâ€ is:

A) Contrariety

B) Subalternation

C) Subcontrariety

D) Contradiction

7.

On the basis of the traditional square of opposition, when an I proposition is true, a proposition with the same subject and predicate but type A is:

A) True

B) False

C) Undetermined

8.

On the basis of the traditional square of opposition, when an O proposition is false, a proposition with the same subject and predicate but type A is:

A) True

B) False

C) Undetermined

9.

Consider â€œSince some shoes are sneakers, some non-sneakers are non-shoes.â€ This inference, drawn by contraposition, is:

A) Valid

B) Not valid

C) Valid by limitation

10.

Consider â€œSome fishmongers are not peace lovers. Thus, some non-peace lovers are not non-fishmongers. â€ Determine whether this immediate inference is drawn by:

A) Conversion

B) Obversion

C) Contraposition

12.

Whatâ€™s the minor premise of a form EAE-1 syllogism?

A) No P are M

B) All S are M

C) No S are P

15.

In order to determine the syllogism figure of â€œSince no two-story house is a skyscraper and all skyscrapers are elevator buildings, no two-story house is an elevator building,â€ the proposition â€œNo two-story house is a skyscraper â€ counts as:

A) The first premise

B) The second premise

C) The conclusion it doesn’t affect figure

16.

The syllogismâ€™s form in â€œSome woodchucks are rodents. Some rodents are not rabies carriers. Therefore, some woodchucks are not rabies carriersâ€ is:

A) IOO-4

B) OIO-1

C) OIO-2

D) OAO-4

17.

In a Venn diagram for an AII-1 syllogism, which circles represent the major premise?

A) S and M

B) M and P

C) S and P

18.

Where does the representation of an AII-1 syllogismâ€™s minor premise go when represented in a Venn diagram with three circles S, P, and M?

A) In the part of P that is not S

B) In the part of S that is not M

C) In the intersection of S and M

20.

The form of â€œSince some grapefruits are citrus and all oranges are citrus, some oranges are grapefruitsâ€ is:

A) Some P are M

All S are M

Some S are P

B) Some M are not P

All M are S

Some S are not P

C) Some M are P

All S are M

Some S are P