0

Propositional Logic: Logical Arguments and Conditional Syllogisms

Description: Propositional Logic: Logical Arguments and Conditional Syllogisms
Number of Questions: 15
Created by:
Tags: propositional logic logical arguments conditional syllogisms
Attempted 0/15 Correct 0 Score 0

Which of the following is a valid argument form?

  1. If P, then Q.

  2. P, therefore Q.

  3. If P, then Q.

  4. Q, therefore P.


Correct Option: A,C
Explanation:

A valid argument form is one in which the conclusion follows logically from the premises. In this case, if P is true, then Q must also be true. Therefore, the argument form is valid.

Which of the following is a fallacy?

  1. Affirming the consequent

  2. Denying the antecedent

  3. Modus ponens

  4. Modus tollens


Correct Option: A
Explanation:

Affirming the consequent is a fallacy in which the conclusion is drawn that P must be true because Q is true. However, this is not necessarily the case. For example, if we know that "If it is raining, then the ground is wet", we cannot conclude that "The ground is wet, therefore it is raining."

What is the conclusion of the following syllogism?

  1. If P, then Q.

  2. P, therefore Q.

  3. If P, then Q.

  4. Q, therefore P.


Correct Option:
Explanation:

A syllogism is a logical argument that consists of two premises and a conclusion. In this case, the premises are "If P, then Q" and "P". The conclusion is therefore "Q".

Which of the following is an example of a conditional syllogism?

  1. If it is raining, then the ground is wet.

  2. The ground is wet, therefore it is raining.

  3. If it is raining, then the ground is wet.

  4. It is raining, therefore the ground is wet.


Correct Option: A,C
Explanation:

A conditional syllogism is a syllogism in which the major premise is a conditional statement. In this case, the major premise is "If it is raining, then the ground is wet."

Which of the following is an example of a disjunctive syllogism?

  1. Either it is raining or the sun is shining.

  2. It is raining, therefore the sun is not shining.

  3. Either it is raining or the sun is shining.

  4. The sun is shining, therefore it is not raining.


Correct Option: A,C
Explanation:

A disjunctive syllogism is a syllogism in which the major premise is a disjunctive statement. In this case, the major premise is "Either it is raining or the sun is shining."

Which of the following is an example of a hypothetical syllogism?

  1. If it is raining, then the ground is wet.

  2. The ground is wet, therefore it is raining.

  3. If it is raining, then the ground is wet.

  4. It is raining, therefore the ground is wet.


Correct Option: A,C
Explanation:

A hypothetical syllogism is a syllogism in which the major premise is a hypothetical statement. In this case, the major premise is "If it is raining, then the ground is wet."

Which of the following is an example of a categorical syllogism?

  1. All men are mortal.

  2. Socrates is a man.

  3. Therefore, Socrates is mortal.

  4. All men are mortal.

  5. Socrates is a man.


Correct Option: A,D
Explanation:

A categorical syllogism is a syllogism in which the premises and conclusion are all categorical statements. In this case, the premises are "All men are mortal" and "Socrates is a man". The conclusion is "Therefore, Socrates is mortal."

Which of the following is an example of a deductive argument?

  1. If it is raining, then the ground is wet.

  2. The ground is wet, therefore it is raining.

  3. If it is raining, then the ground is wet.

  4. It is raining, therefore the ground is wet.


Correct Option: A,C
Explanation:

A deductive argument is an argument in which the conclusion follows logically from the premises. In this case, if it is raining, then the ground must also be wet. Therefore, the argument is deductive.

Which of the following is an example of an inductive argument?

  1. All swans are white.

  2. I have seen many white swans.

  3. Therefore, all swans are white.

  4. All swans are white.

  5. I have seen many white swans.


Correct Option: B,E
Explanation:

An inductive argument is an argument in which the conclusion is supported by evidence, but does not necessarily follow logically from the premises. In this case, the evidence is that the speaker has seen many white swans. However, this does not necessarily mean that all swans are white.

Which of the following is an example of a sound argument?

  1. If it is raining, then the ground is wet.

  2. The ground is wet, therefore it is raining.

  3. If it is raining, then the ground is wet.

  4. It is raining, therefore the ground is wet.


Correct Option: A,C
Explanation:

A sound argument is an argument that is both valid and has true premises. In this case, the argument is valid because the conclusion follows logically from the premises. The premises are also true, because it is a fact that if it is raining, then the ground will be wet. Therefore, the argument is sound.

Which of the following is an example of an unsound argument?

  1. All men are mortal.

  2. Socrates is a man.

  3. Therefore, Socrates is mortal.

  4. All men are mortal.

  5. Socrates is a man.


Correct Option: A,D
Explanation:

An unsound argument is an argument that is either invalid or has false premises. In this case, the argument is invalid because the conclusion does not follow logically from the premises. The premises are also false, because it is not true that all men are mortal. Therefore, the argument is unsound.

Which of the following is an example of a formal fallacy?

  1. Affirming the consequent

  2. Denying the antecedent

  3. Modus ponens

  4. Modus tollens


Correct Option: A
Explanation:

A formal fallacy is a fallacy that is based on the structure of the argument, rather than the content of the premises. Affirming the consequent is a formal fallacy in which the conclusion is drawn that P must be true because Q is true. However, this is not necessarily the case. For example, if we know that "If it is raining, then the ground is wet", we cannot conclude that "The ground is wet, therefore it is raining."

Which of the following is an example of an informal fallacy?

  1. Ad hominem

  2. Ad populum

  3. Straw man

  4. Begging the question


Correct Option: A
Explanation:

An informal fallacy is a fallacy that is based on the content of the premises, rather than the structure of the argument. Ad hominem is an informal fallacy in which the speaker attacks the person making the argument, rather than the argument itself. For example, if someone says "You can't trust what he says because he's a liar", they are committing the ad hominem fallacy.

Which of the following is an example of a cognitive bias?

  1. Confirmation bias

  2. Hindsight bias

  3. Framing effect

  4. Anchoring bias


Correct Option: A
Explanation:

A cognitive bias is a systematic error in thinking that occurs when people are processing information. Confirmation bias is a cognitive bias in which people tend to seek out information that confirms their existing beliefs, while ignoring information that contradicts them. For example, if someone believes that climate change is not real, they may be more likely to seek out information that supports this belief, while ignoring information that contradicts it.

Which of the following is an example of a heuristic?

  1. Availability heuristic

  2. Representativeness heuristic

  3. Anchoring bias

  4. Framing effect


Correct Option: A
Explanation:

A heuristic is a mental shortcut that people use to make decisions. The availability heuristic is a heuristic in which people tend to judge the likelihood of an event based on how easily they can remember examples of that event. For example, people may believe that car accidents are more common than plane crashes, simply because they can more easily remember examples of car accidents.

- Hide questions