Reasoning

Logic and Fallacies

1,716 Questions

Understand the fundamentals of propositional logic, logical inference rules, and paradoxes. This set includes identifying logical fallacies, including those found in classical Nyaya logic. Strong grasp of these concepts is crucial for scoring well in the reasoning sections of competitive tests.

Propositional logic modelsLogical inference rulesTypes of logical fallaciesParadoxes and contingent truthsNyaya logic concepts

Logic and Fallacies Questions

Multiple choice

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

  1. The Law of Cosines

  2. The Central Limit Theorem

  3. The Fallacy of the Converse

  4. The Fallacy of the Inverse
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Fallacy of the Converse is a mathematical fallacy that occurs when someone assumes that the converse of a statement is true without proof.

Multiple choice

What is the name of the paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'?

  1. The Paradox of Russell's Set

  2. The Paradox of Cantor's Set

  3. The Paradox of the Unexpected Hanging

  4. The Paradox of Time Travel
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Paradox of Russell's Set is a paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'.

Multiple choice

Which of the following is an example of a mathematical paradox?

  1. The Paradox of the Unexpected Hanging

  2. The Monty Hall Problem

  3. The Prisoner's Dilemma

  4. The Paradox of Choice
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The Monty Hall Problem is a mathematical paradox that arises from a game show scenario.

Multiple choice

What is the name of the paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'?

  1. The Paradox of Russell's Set

  2. The Paradox of Cantor's Set

  3. The Paradox of the Unexpected Hanging

  4. The Paradox of Time Travel
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Paradox of Russell's Set is a paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'.

Multiple choice

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

  1. The Law of Cosines

  2. The Central Limit Theorem

  3. The Fallacy of the Converse

  4. The Fallacy of the Inverse
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Fallacy of the Converse is a mathematical fallacy that occurs when someone assumes that the converse of a statement is true without proof.

Multiple choice

What is the name of the paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'?

  1. The Paradox of Russell's Set

  2. The Paradox of Cantor's Set

  3. The Paradox of the Unexpected Hanging

  4. The Paradox of Time Travel
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Paradox of Russell's Set is a paradox that arises from the statement 'If you have a set of all sets, then you can create a set that is not a member of itself'.

Multiple choice

Which of the following is an example of a mathematical paradox?

  1. The Paradox of the Unexpected Hanging

  2. The Monty Hall Problem

  3. The Prisoner's Dilemma

  4. The Paradox of Choice
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The Monty Hall Problem is a mathematical paradox that arises from a game show scenario.

Multiple choice

Which of the following is an example of a logical fallacy in political advertising?

  1. A candidate making a false claim about their opponent

  2. A candidate using a straw man argument

  3. A candidate using a slippery slope argument

  4. A candidate using an ad hominem argument
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A logical fallacy is an argument that is based on a false or invalid premise. A candidate using a straw man argument is an example of a logical fallacy because they are arguing against a position that their opponent does not actually hold.

Multiple choice

What does it mean to "reason abstractly and quantitatively"?

  1. To use numbers and symbols to represent real-world situations.

  2. To use manipulatives to solve math problems.

  3. To draw pictures to represent math problems.

  4. To memorize math facts.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Reasoning abstractly and quantitatively means that students should be able to use numbers and symbols to represent real-world situations. They should also be able to use mathematical operations to solve problems and make predictions.

Multiple choice

What does it mean to "look for and express regularity in repeated reasoning"?

  1. To look for patterns in math problems.

  2. To generalize math concepts and properties.

  3. To use inductive reasoning to make predictions.

  4. All of the above.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Looking for and expressing regularity in repeated reasoning means that students should look for patterns in math problems, generalize math concepts and properties, and use inductive reasoning to make predictions.

Multiple choice

What is presupposition?

  1. An assumption that is made in order to make a statement meaningful

  2. A statement that is implied by another statement

  3. A statement that is true in all possible worlds

  4. A statement that is false in all possible worlds
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Presupposition is an assumption that is made in order to make a statement meaningful. For example, the statement "The king of France is bald" presupposes that there is a king of France.

Multiple choice

What is implicature?

  1. An assumption that is made in order to make a statement meaningful

  2. A statement that is implied by another statement

  3. A statement that is true in all possible worlds

  4. A statement that is false in all possible worlds
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Implicature is a statement that is implied by another statement. For example, the statement "The king of France is bald" implicates that there is a king of France.

Multiple choice

What are some common misunderstandings about presupposition and implicature?

  1. Presupposition and implicature are the same thing.

  2. Presupposition and implicature are always true.

  3. Presupposition and implicature are always false.

  4. None of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

None of the above misunderstandings about presupposition and implicature are true.

Multiple choice

What are some additional questions that I can ask myself about presupposition and implicature?

  1. What is the presupposition of this statement?

  2. What is the implicature of this statement?

  3. How does the context affect the presupposition and implicature of this statement?

  4. All of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

All of the above questions can be asked about presupposition and implicature.

Multiple choice

In the context of causation, what does the term 'sufficient condition' signify?

  1. A condition that must be present for an event to occur

  2. A condition that is sufficient for an event to occur

  3. A condition that is both necessary and sufficient for an event to occur

  4. A condition that is neither necessary nor sufficient for an event to occur
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A sufficient condition is one whose presence alone is enough to bring about an event, regardless of the presence or absence of other conditions.