tools for logical thinking categorical propositions and syllogisms

5.

According to the traditional square of opposition, the relation between “Some octogenarians are regular voters” and “Some octogenarians are not regular voters” is:

A) Contrariety

B) Subalternation

C) Subcontrariety

D) Contradiction

6.

According to the traditional square of opposition, the relation between, “No Minnesotans are Vikings fans” and “All Minnesotans are Vikings fans” 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 “Since some shoes are sneakers, some non-sneakers are non-shoes.” This inference, drawn by contraposition, is:

A) Valid

B) Not valid

C) Valid by limitation

10.

Consider “Some fishmongers are not peace lovers. Thus, some non-peace lovers are not non-fishmongers. ” Determine whether this immediate inference is drawn by:

A) Conversion

B) Obversion

C) Contraposition

12.

What’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 “Since no two-story house is a skyscraper and all skyscrapers are elevator buildings, no two-story house is an elevator building,” the proposition “No two-story house is a skyscraper ” counts as:

A) The first premise

B) The second premise

C) The conclusion it doesn’t affect figure

16.

The syllogism’s form in “Some woodchucks are rodents. Some rodents are not rabies carriers. Therefore, some woodchucks are not rabies carriers” 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 syllogism’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 “Since some grapefruits are citrus and all oranges are citrus, some oranges are grapefruits” 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

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