Question 1

Syllogistic Form 1A
Given the following syllogistic form:
Some M are not P.
No S are M.

Some S are not P.
-For Syllogistic Form 1A, the mood and figure is:

Accepted Answer

Syllogistic Form 1A has the mood OEO and figure 1.

Question 2

Given the following sorites: All T are D.
No D are R.
All A are R.
Some K are A.
Some K are not T.
This sorites is:

Accepted Answer

The sorites follows logical rules without breaking any, such as not drawing a negative conclusion solely from affirmative premises or mismanaging distributed terms.

Question 3

Sorites 1A
Given the following sorites: 
-For Sorites 1A, the correct standard form is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: 
-For Sorites...

Question 4

Sorites 1A
Given the following sorites: 
-For Sorites 1A, the second intermediate conclusion is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: 
-For Sorites...

Question 5

Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
-For Syllogism 4A, the minor premise is:

Accepted Answer

The minor premise provides specific information about Dark Interlude, stating that it has nude scenes.

Question 6

Sorites 1A
Given the following sorites: 
-For Sorites 1A, the correct answer is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: 
-For Sorites...

Question 7

Syllogism 3A
Given the following syllogism:
Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools.
-For Syllogism 3A, the minor premise is:

Accepted Answer

The minor premise specifically addresses Jack's relationship to the category of people who own tools, stating that Jack does not own any tools.

Question 8

Syllogistic Form 1A
Given the following syllogistic form:
Some M are not P.
No S are M.

Some S are not P.
-For Syllogistic Form 1A, after filling in the Venn diagram,

Accepted Answer

The statement "Some M are not P" means that there is at least one thing that is M but not P. This can be represented by shading area 3 in the Venn diagram. 
The statement "No S are M" means that there is no overlap between S and M. This can be represented by leaving areas 1 and 2 blank. 
Combining these two statements, we can see that there must be some S that are not P - they are in area 2, outside of the shaded area 3. There is no reason to shade area 1, and shading areas 4-7 would contradict the given statements. The X does not appear in any of the areas shaded in this diagram.

Question 9

Given the following enthymeme: Frank always feels terrible when he has a cold, so Frank must feel terrible now.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

The missing premise needed to convert the enthymeme into a valid syllogism is "Frank has a cold now." Choice D provides this missing premise, which combined with the given premise "Frank always feels terrible when he has a cold" leads to the conclusion that "Frank must feel terrible now." Therefore, D is the best choice.

Question 10

Syllogism 3A
Given the following syllogism:
Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools.
-After translating Syllogism 3A into standard form, the conclusion is:

Accepted Answer

The premise "every mechanic owns tools, and Jack does not own any tools" can be translated as "No person who does not own any tools can be a mechanic" (contrapositive of "every mechanic owns tools"). Thus, the conclusion "Jack can't be a mechanic" can be drawn as "No person who does not own any tools can be a mechanic" and this is captured in option B.

Question 11

Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods.
-After reducing the number of terms in Syllogism 2A, the conclusion is:

Accepted Answer

The answer of Syllogism 2A
Given the following syllogism:
Some uncontaminated salads...

Question 12

Syllogism 3A
Given the following syllogism:
Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools.
-For Syllogism 3A, the major premise is:

Accepted Answer

The major premise is "every mechanic owns tools," which directly corresponds to choice E, stating that all mechanics are people who own tools.

Question 13

Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods.
-For Syllogism 2A, the major premise is:

Accepted Answer

The major premise is the first statement of the syllogism, which sets the overall structure and direction of the argument. In this case, the major premise is "Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods." Among the choices given, it is clear that option C matches this premise most closely, as it directly corresponds to the second clause of the major premise stating that "some appetizing foods are contaminated salads." While the other options may contain elements that are present in the syllogism, they are not equivalent to the major premise in its entirety. Therefore, choice C is the best answer.

Question 14

Sorites 1A
Given the following sorites: 
-For Sorites 1A, the first intermediate conclusion is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: 
-For Sorites...

Question 15

Given the following enthymeme: The Louvre is in France because it's in Paris.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

The missing premise needed to form a valid syllogism is "Whatever is in Paris is in France," which leads to the conclusion that "The Louvre is in France." Therefore, the correct answer is B.

Question 16

Syllogistic Form 1A
Given the following syllogistic form:
Some M are not P.
No S are M.

Some S are not P.
-For Syllogistic Form 1A, the answer from the Boolean standpoint is:

Accepted Answer

The answer of Syllogistic Form 1A
Given the following syllogistic form:
Some...

Question 17

Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
-For Syllogism 4A, the major premise is:

Accepted Answer

The answer of Syllogism 4A
Given the following syllogism:
Movies are not...

Question 18

Given the following enthymeme: Religions are dangerous if they lead to violence, and fundamentalist religions lead to violence.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

The missing statement needed to convert the enthymeme into a valid syllogism is a conclusion that directly follows from the premises provided. The premises are "Religions are dangerous if they lead to violence" and "fundamentalist religions lead to violence." Therefore, the logical conclusion is that "Fundamentalist religions are dangerous," which directly follows from applying the given premises.

Question 19

Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods.
-For Syllogism 2A, the minor premise is:

Accepted Answer

The answer of Syllogism 2A
Given the following syllogism:
Some uncontaminated salads...

Question 20

Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
-After translating Syllogism 4A into standard form, the conclusion is:

Accepted Answer

The answer of Syllogism 4A
Given the following syllogism:
Movies are not...

Quiz 5: Categorical Syllogisms

Syllogistic Form 1A Given the following syllogistic form: Some M are not P. No S are M. Some S are not P. -For Syllogistic Form 1A, the mood and figure is:

Given the following sorites: All T are D. No D are R. All A are R. Some K are A. Some K are not T. This sorites is:

Sorites 1A Given the following sorites: -For Sorites 1A, the correct standard form is:

Sorites 1A Given the following sorites: -For Sorites 1A, the second intermediate conclusion is:

Syllogism 4A Given the following syllogism: Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes. -For Syllogism 4A, the minor premise is:

Sorites 1A Given the following sorites: -For Sorites 1A, the correct answer is:

Syllogism 3A Given the following syllogism: Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools. -For Syllogism 3A, the minor premise is:

Syllogistic Form 1A Given the following syllogistic form: Some M are not P. No S are M. Some S are not P. -For Syllogistic Form 1A, after filling in the Venn diagram,

Given the following enthymeme: Frank always feels terrible when he has a cold, so Frank must feel terrible now. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogism 3A Given the following syllogism: Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools. -After translating Syllogism 3A into standard form, the conclusion is:

Syllogism 2A Given the following syllogism: Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods. -After reducing the number of terms in Syllogism 2A, the conclusion is:

Syllogism 3A Given the following syllogism: Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools. -For Syllogism 3A, the major premise is:

Syllogism 2A Given the following syllogism: Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods. -For Syllogism 2A, the major premise is:

Sorites 1A Given the following sorites: -For Sorites 1A, the first intermediate conclusion is:

Given the following enthymeme: The Louvre is in France because it's in Paris. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogistic Form 1A Given the following syllogistic form: Some M are not P. No S are M. Some S are not P. -For Syllogistic Form 1A, the answer from the Boolean standpoint is:

Syllogism 4A Given the following syllogism: Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes. -For Syllogism 4A, the major premise is:

Given the following enthymeme: Religions are dangerous if they lead to violence, and fundamentalist religions lead to violence. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogism 2A Given the following syllogism: Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods. -For Syllogism 2A, the minor premise is:

Syllogism 4A Given the following syllogism: Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes. -After translating Syllogism 4A into standard form, the conclusion is: