NAME________________________
LOGIC TEST II
1
1.
2
3
4
34
1 2
24
The (A * E * I * O) proposition is neither (universal * particular) nor (affirmative *
1 3
negative).
1
x
x
1
The proposition (“Some US citizen is person” * “No US citizen is a person”) is an (A * I)
2.
1
x
proposition that is (true * false).
X
3.
1
1
For Aristotle, contrary propositions may both be (true * false) but cannot both be (true *
x
false).
1
4.
2
x
1
2
x
x
x
x
For Boole, the (I * O) proposition (is implied by * implies) the (A * E) proposition.
1
6.
x
For Aristotle, the (I * O) proposition (is implied by * implies) the (A * E) proposition.
X
5.
1 2
2
2
The (modern * traditional) standpoint considers the universal propositions as (implying the
1
existence of the subject * not implying the existence of the subject).
2
7.
For both Boole and Aristotle, “Some bird is a mammal” implies (“It is not the case that no
x
bird is a mammal” * “Some bird is not a mammal”).
1
8.
For Aristotle, “It is not the case that some worshipper is a Christian” implies (“No worshipper
x
is a Christian” * the subcontrary of “Some worshipper is not a Christian”).
1
9.
x
x
x
“No person that is not a person is not a Vegas tiger” is (true * false * undetermined).
1 2
11.
x
“No person that is not a person is a person” is an (E * A * O * I) proposition.
1
10.
x
3
1
For (Aristotle * Boole), the truth of “All cats are furry” implies that (“Some cats are furry”
NAME________________________
LOGIC TEST II
2 3
1
2 3
“Some cats are not furry”) is (true * false).
X
1
“Some number that is both even and non-even is over ten” is (true * false).
12.
1
x
“Some number that is over ten is even” is (true * false).
13.
12
x
For (Aristotle * Boole), the proposition “Every number that is over ten is even” contains the
14.
x
1
information that (“Some number that is over ten definitely does not exist” * “Some number exists”
2
“Some number that is over ten exists”).
1 2
15.
3 4
If you draw a square of opposition in the (modern * traditional) manner, then you will notice
1 3
24
24
13
that the (A * E) proposition implies the negation of the (I * O) proposition.
1
16.
2
1
2
2
(Universal * Particular) propositions are (true * false) unless there is a (proexample *
1
counterexample).
1
x
Using Aristotle’s Square, the following argument is (valid * invalid): “Since some exams are
17.
not difficult tests, therefore it is not the case that all exams are difficult tests.”
Use the traditional square of opposition. Given that “Some S is not P” is true, “Some S is P” is
18.
X
x
1
(false * true * undetermined).
x
Use the traditional square of opposition. Given that “No S is P” is false, “Some S is P” is (false
19.
1
x
* true * undetermined).
NAME________________________
LOGIC TEST II
X
20.
1 2
1 2
x
1
For (Boole * Aristotle), the (A * O) proposition implies (the contradictory opposite of the E
2
the contrary of the E) proposition.
1
x
Using Aristotle’s Square, the following argument is (valid * invalid): “Every day it rains is a
21.
day that seems to drag on. Hence, it is not the case that no day it rains is a day that seems to drag on.”
X
1
Using Aristotle’s Square, the following argument is (valid * invalid): “Some Boston Red Sox
22.
pitcher is a player who allowed two walks against the Oakland Athletics. Thus, every Boston
Red Sox pitcher is a player who allowed two walks against the Oakland Athletics.”
X
23.
x
x
x
x
x
For (Boole * Aristotle), the (A * E) proposition is implied by the (I * O) proposition.
X
24.
1
On the modern standpoint, the existence of the subject is implied by the (A * I) proposition.
1
25.
2
3
4
12
34
x
The quantity of the (A * E * I * O) proposition is (universal * particular * affirmative
x
* negative).
1
26.
2 3
4
x
x
1 3
The quality of the (A * E * I * O) proposition is (universal * particular * affirmative *
2 4
negative).
1
27.
2
3
4
3 4
The quantity of the contradictory opposite of the (A * E * I * O) proposition is (universal *
1 2
x
x
particular * affirmative * negative).
1
28.
2
3
The quantity of the (A * E * I
4
1 2
3 4
x
* O) proposition is (universal * particular * affirmative
x
negative).
1
29.
2
3
4
x
The quality of the contrary or subcontrary of the (A * E * I * O) proposition is (universal *
NAME________________________
LOGIC TEST II
X
2 4
1 3
particular * affirmative * negative).
X
30.
1
x
Using Boole’s Square, the following argument is (valid * invalid * neither valid nor
invalid): “No sculptures by Rodin are boring creations. Therefore, all sculptures by Rodin are
boring creations.”
1
31.
x
x
Using Boole’s Square, the following argument is (valid * invalid * neither valid nor
invalid): “All dry martinis are dangerous concoctions. Thus, it is false that some dry martinis
are not dangerous concoctions.”
X
32.
1
x
Using Boole’s Square, the following argument is (valid * invalid * neither valid nor
invalid): “Some country doctors are altruistic healers. Thus, some country doctors are not
altruistic healers.”
1 2
33.
34
x
The Venn diagram of an (E * O) proposition, from the traditional standpoint contains (no ‘x’
13
24
* at least one ‘x’
* exactly one ‘x’).