Question 1

Answer the questions about this categorical syllogism. Some men are handsome. All handsome people are conceited. Some men are conceited. The conclusion in the above categorical syllogism is

Accepted Answer

The conclusion follows logically from the premises, making the syllogism valid. If some men are handsome and all handsome people are conceited, then logically, some men must be conceited.

Question 2

Answer the questions about this categorical syllogism. All my favorite desserts are delicious. All chocolate is delicious. All my favorite desserts are chocolate. What is the middle term in the above categorical syllogism?

Accepted Answer

The middle term in a categorical syllogism is the term that appears in both premises but not in the conclusion. In this case, "delicious" is the term that appears in both premises ("All my favorite desserts are delicious" and "All chocolate is delicious") but not in the conclusion ("All my favorite desserts are chocolate"), making it the middle term.

Question 3

Answer the questions about this categorical syllogism. All my favorite desserts are delicious. All chocolate is delicious. All my favorite desserts are chocolate. The "A" term in the above categorical syllogism is

Accepted Answer

The "A" term in the above categorical syllogism is distributed because it appears in the universal affirmative proposition "All my favorite desserts are delicious."

Question 4

Answer the questions about this "if, then" statement. If I study hard, I will get a good grade. I did not study hard. Therefore, I will not get a good grade. The conclusion in the above statement is

Accepted Answer

The conclusion is invalid because the original statement does not specify that not studying hard is the only way to not get a good grade. It's a logical fallacy known as denying the antecedent.

Question 5

Answer the questions about this "if, then" statement. If I study hard, I will get a good grade. I did not study hard. Therefore, I will not get a good grade. The second premise in the above "if, then" statement

Accepted Answer

The second premise "I did not study hard" denies the antecedent ("If I study hard") of the conditional statement.

Question 6

As issues become more emotional, human beings become

Accepted Answer

When issues become more emotional, human beings tend to rely less on logic and more on their emotions, making them less logical in their decision-making and reasoning processes.

Question 7

When we __________, we use knowledge about one or more related statements that we can reasonably believe are true to determine if another statement, a conclusion, is true.

Accepted Answer

The answer of When we __________, we use knowledge about...

Question 8

An inferential belief that is derived from other statements is called

Accepted Answer

A conclusion is an inferential belief that is derived from one or more statements (premises) through the process of reasoning.

Question 9

A __________ is an inferential belief that is derived from other statements called __________.

Accepted Answer

A conclusion is an inferential belief that is derived from other statements called premises. This is a fundamental concept in logic and argumentation, where premises are the reasons or evidence provided to support a conclusion.

Question 10

Premises are

Accepted Answer

Premises are accepted as true in evaluating conclusions.

Question 11

In formal logic, a conclusion is valid if

Accepted Answer

A conclusion is considered valid in formal logic if it necessarily follows from the premises or statements that are accepted as facts, regardless of the truth of the premises themselves. This is a fundamental principle of deductive reasoning in logic.

Question 12

If I conclude that your puppy is sweet based on my general conclusions about puppies, I am using

Accepted Answer

Deductive reasoning involves drawing a specific conclusion from a general statement or premise. In this case, the general belief about puppies being sweet leads to the specific conclusion about your puppy.

Question 13

If I conclude that puppies are aggressive based on your puppy that bit my finger, I am using

Accepted Answer

Inductive reasoning involves making generalizations based on specific observations. In this case, concluding that all puppies are aggressive based on an experience with one puppy is an example of inductive reasoning, where a specific instance is used to form a general conclusion.

Question 14

"If, then" statements are called

Accepted Answer

Conditional logic is specifically concerned with statements of the form "if...then...", which are used to establish a condition and its consequence.

Question 15

"If, then" statements involve __________, where some events are dependent on the occurrence of other events.

Accepted Answer

"If, then" statements describe contingency relationships, where the truth or occurrence of one event (the consequent) is dependent on the truth or occurrence of another event (the antecedent).

Question 16

The only logically valid ways to draw conclusions from "if, then" statements are

Accepted Answer

Affirming the antecedent (modus ponens) and denying the consequent (modus tollens) are the valid forms of reasoning with "if, then" statements.

Question 17

"If, then" statements are solved using __________, while categorical reasoning are solved using __________.

Accepted Answer

The answer of "If, then" statements are solved using __________,...

Question 18

Answer the questions about this categorical syllogism. All my favorite desserts are delicious. All chocolate is delicious. All my favorite desserts are chocolate. The conclusion in the above categorical syllogism is

Accepted Answer

The conclusion is invalid because the premises do not logically necessitate the conclusion. Just because all favorite desserts and all chocolate are delicious, it doesn't mean all favorite desserts must be chocolate; there could be other delicious things that are also favorite desserts.

Quiz 4: Reasoning: Drawing Deductively Valid Conclusions