Question 1

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 broadest statement in a syllogism and sets the foundation for the logical argument. In this syllogism, the major premise is "all unhealthy meals are unappetizing foods." This means that any meal that is unhealthy is automatically classified as unappetizing. Therefore, any appetizing food must not be unhealthy. Choice C is the only option that supports the major premise by stating that "some appetizing foods are contaminated salads." This means that not all appetizing foods are contaminated, so some must be uncontaminated and therefore healthy.

Question 2

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 conclusion of the syllogism is "Dark Interlude is sexy because it has nude scenes." This can be translated to "All movies identical to Dark Interlude are sexy movies" in standard form. Therefore, choice C is the best representation of the conclusion in standard form.

Question 3

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

Question 4

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 5

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 6

Sorites 1A
Given the following sorites: Some N are $F$.
All $\mathrm { K }$ are $\mathrm { R }$.
All $\mathrm { T }$ are $\mathrm { K }$.
No $\mathrm { F }$ are $\mathrm { R }$.
$\overline{\text{Some N are not T}}$.
-For Sorites 1A, the second intermediate conclusion is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: Some N...

Question 7

Sorites 1A
Given the following sorites: Some N are $F$.
All $\mathrm { K }$ are $\mathrm { R }$.
All $\mathrm { T }$ are $\mathrm { K }$.
No $\mathrm { F }$ are $\mathrm { R }$.
$\overline{\text{Some N are not T}}$.
-For Sorites 1A, the first intermediate conclusion is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: Some N...

Question 8

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 premises state that every mechanic owns tools and that Jack does not own any tools. This means that Jack cannot be a mechanic. The conclusion is therefore that no people identical to Jack are mechanics. This is a negative proposition, making choice (B) the correct answer.

Question 9

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 10

Sorites 1A
Given the following sorites: Some N are $F$.
All $\mathrm { K }$ are $\mathrm { R }$.
All $\mathrm { T }$ are $\mathrm { K }$.
No $\mathrm { F }$ are $\mathrm { R }$.
$\overline{\text{Some N are not T}}$.
-For Sorites 1A, the correct answer is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: Some N...

Question 11

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

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

Question 12

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 13

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 in the enthymeme is that "Whatever is in Paris is in France." This premise is necessary to make the argument valid, and it bridges the gap between the minor premise "The Louvre is in Paris" and the conclusion "The Louvre is in France." Therefore, B is the best choice.

Question 14

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

Question 15

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 16

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 17

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 18

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 19

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 required to make this an valid syllogism is that Frank has a cold now. Option D provides that missing premise. Option A is close, but it wouldn't necessarily follow that Frank in particular feels terrible now just because people in general feel terrible when they have a cold.

Question 20

Sorites 1A
Given the following sorites: Some N are $F$.
All $\mathrm { K }$ are $\mathrm { R }$.
All $\mathrm { T }$ are $\mathrm { K }$.
No $\mathrm { F }$ are $\mathrm { R }$.
$\overline{\text{Some N are not T}}$.
-For Sorites 1A, the correct standard form is:

Accepted Answer

The answer of Sorites 1A
Given the following sorites: Some N...

Quiz 5: Categorical Syllogisms

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:

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:

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,

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:

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:

Sorites 1A Given the following sorites: Some N are $F$ . All $\mathrm { K }$ are $\mathrm { R }$ . All $\mathrm { T }$ are $\mathrm { K }$ . No $\mathrm { F }$ are $\mathrm { R }$ . $\overline{\text{Some N are not T}}$ . -For Sorites 1A, the second intermediate conclusion is:

Sorites 1A Given the following sorites: Some N are $F$ . All $\mathrm { K }$ are $\mathrm { R }$ . All $\mathrm { T }$ are $\mathrm { K }$ . No $\mathrm { F }$ are $\mathrm { R }$ . $\overline{\text{Some N are not T}}$ . -For Sorites 1A, the first intermediate 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. -After translating Syllogism 3A into standard form, the conclusion 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:

Sorites 1A Given the following sorites: Some N are $F$ . All $\mathrm { K }$ are $\mathrm { R }$ . All $\mathrm { T }$ are $\mathrm { K }$ . No $\mathrm { F }$ are $\mathrm { R }$ . $\overline{\text{Some N are not T}}$ . -For Sorites 1A, the correct answer 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 mood and figure 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:

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:

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:

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:

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:

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:

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:

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:

Sorites 1A Given the following sorites: Some N are $F$ . All $\mathrm { K }$ are $\mathrm { R }$ . All $\mathrm { T }$ are $\mathrm { K }$ . No $\mathrm { F }$ are $\mathrm { R }$ . $\overline{\text{Some N are not T}}$ . -For Sorites 1A, the correct standard form is:

Quiz 5: Categorical Syllogisms

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:

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:

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,

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:

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 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:

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:

Sorites 1A Given the following sorites: Some N are FFF . All K\mathrm { K }K are R\mathrm { R }R . All T\mathrm { T }T are K\mathrm { K }K . No F\mathrm { F }F are R\mathrm { R }R . Some N are not T‾\overline{\text{Some N are not T}}Some N are not T . -For Sorites 1A, the correct answer 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 mood and figure 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:

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:

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:

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:

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:

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:

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:

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:

Sorites 1A Given the following sorites: Some N are $F$ . All $\mathrm { K }$ are $\mathrm { R }$ . All $\mathrm { T }$ are $\mathrm { K }$ . No $\mathrm { F }$ are $\mathrm { R }$ . $\overline{\text{Some N are not T}}$ . -For Sorites 1A, the correct answer is: