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 a mathematical model of inductive reasoning?

  1. Bayesian inference

  2. Frequentist inference

  3. Both of the above

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

Bayesian inference and frequentist inference are both mathematical models of inductive reasoning.

Multiple choice

Which of the following is a limitation of syllogistic logic?

  1. It can only represent simple propositions.

  2. It cannot represent negated propositions.

  3. It cannot represent disjunctive propositions.

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

Syllogistic logic is a limited mathematical model of deductive reasoning. It can only represent simple propositions, it cannot represent negated propositions, and it cannot represent disjunctive propositions.

Multiple choice

Which of the following is an advantage of propositional logic?

  1. It can represent complex propositions.

  2. It can represent negated propositions.

  3. It can represent disjunctive propositions.

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

Propositional logic is a more powerful mathematical model of deductive reasoning than syllogistic logic. It can represent complex propositions, it can represent negated propositions, and it can represent disjunctive propositions.

Multiple choice

Which of the following is a limitation of first-order logic?

  1. It is more complex than propositional logic.

  2. It is more difficult to use than propositional logic.

  3. It cannot represent infinite domains.

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

First-order logic is a more powerful mathematical model of deductive reasoning than propositional logic, but it is also more complex and more difficult to use. Additionally, first-order logic cannot represent infinite domains.

Multiple choice

What does it mean to say that truth is a redundant property?

  1. Truth is not a necessary property.

  2. Truth is not a sufficient property.

  3. Truth is not an informative property.

  4. Truth is not an objective property.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To say that truth is a redundant property means that it does not add any new information to a proposition. This is because the truth of a proposition is already implied by its meaning.

Multiple choice

What is the name of the logical system that is used to study the foundations of mathematics?

  1. First-Order Logic

  2. Second-Order Logic

  3. Modal Logic

  4. Temporal Logic
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First-Order Logic is a logical system that is used to study the foundations of mathematics. It is based on the idea of quantifiers, which allow us to make statements about all or some elements of a set.

Multiple choice

Which of the following is a type of logical fallacy?

  1. Ad Hominem

  2. Straw Man

  3. Begging the Question

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

Logical fallacies are errors in reasoning that can lead to incorrect conclusions. Ad Hominem is an attack on the person making the argument rather than the argument itself. Straw Man is misrepresenting someone's argument in order to make it easier to attack. Begging the Question is assuming the conclusion of an argument in the premises.

Multiple choice

Which of the following is a type of mathematical proof?

  1. Direct Proof

  2. Indirect Proof

  3. Constructive Proof

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

Direct Proof, Indirect Proof, and Constructive Proof are all types of mathematical proofs. Direct Proof proves a statement by showing that it is true. Indirect Proof proves a statement by showing that its negation leads to a contradiction. Constructive Proof proves a statement by exhibiting an object that satisfies the statement.

Multiple choice

Which of the following is a type of mathematical logic?

  1. Propositional Logic

  2. Predicate Logic

  3. Modal Logic

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

Propositional Logic, Predicate Logic, and Modal Logic are all types of mathematical logic. Propositional Logic is the study of logical connectives, such as and, or, and not. Predicate Logic is the study of quantifiers, such as for all and there exists. Modal Logic is the study of modalities, such as necessity and possibility.

Multiple choice

Which of the following is a type of logical fallacy?

  1. Ad Hominem

  2. Straw Man

  3. Begging the Question

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

Logical fallacies are errors in reasoning that can lead to incorrect conclusions. Ad Hominem is an attack on the person making the argument rather than the argument itself. Straw Man is misrepresenting someone's argument in order to make it easier to attack. Begging the Question is assuming the conclusion of an argument in the premises.

Multiple choice

What is the term used to describe a twist ending that is based on a logical fallacy or inconsistency in the plot?

  1. Deus ex machina

  2. Red herring

  3. Plot hole

  4. MacGuffin
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A plot hole is a logical inconsistency or gap in the plot that can undermine the believability of the story. Plot holes can be distracting and unsatisfying for readers, especially when they occur in the twist ending.

Multiple choice

What is the term used for the proposition that is to be proved in an inference?

  1. Sadhya

  2. Paksha

  3. Hethu

  4. Drishtanta
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sadhya is the proposition that is to be proved in an inference.

Multiple choice

Which member of an inference provides the reason or evidence for the conclusion?

  1. Sadhya

  2. Paksha

  3. Hethu

  4. Drishtanta
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Hethu is the member of an inference that provides the reason or evidence for the conclusion.

Multiple choice

Which member of an inference is an example or instance that supports the conclusion?

  1. Sadhya

  2. Paksha

  3. Hethu

  4. Drishtanta
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Drishtanta is the member of an inference that is an example or instance that supports the conclusion.

Multiple choice

Which type of inference is based on the relationship between a cause and its effect?

  1. Kevalanvayi

  2. Anvayavyatireki

  3. Vyatireki

  4. Savyabhichara
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Kevalanvayi is the type of inference that is based on the relationship between a cause and its effect.