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 valid inference rule in Doxastic Logic?

  1. $\Diamond(p \rightarrow q) \vdash \Diamond p \rightarrow \Diamond q$
  2. $\Box(p \rightarrow q) \vdash \Box p \rightarrow \Box q$
  3. $\Diamond p \wedge \Diamond q \vdash \Diamond(p \wedge q)$
  4. $\Box p \wedge \Box q \vdash \Box(p \wedge q)$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In Doxastic Logic, the rule of inference (\Box(p \rightarrow q) \vdash \Box p \rightarrow \Box q) is valid. It states that if it is known that (p) implies (q), then it is also known that if (p) is the case, then (q) is also the case.

Multiple choice

What is the role of uncertainty in Doxastic Logic?

  1. Uncertainty is ignored in Doxastic Logic

  2. Uncertainty is represented using probability theory

  3. Uncertainty is represented using fuzzy logic

  4. Uncertainty is represented using belief functions
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In Doxastic Logic, uncertainty is often represented using belief functions, which allow for the quantification of degrees of belief and the combination of evidence from multiple sources.

Multiple choice

Which of the following is not a type of valid inference in Indian epistemology?

  1. Deductive inference

  2. Inductive inference

  3. Abductive inference

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

Analogical inference is not considered a valid type of inference in Indian epistemology, as it relies on similarity rather than logical necessity.

Multiple choice

Which of the following is NOT a type of mistake of fact?

  1. Unilateral mistake

  2. Mutual mistake

  3. Common mistake

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

Equitable mistake is not a type of mistake of fact. Unilateral mistake occurs when only one party to a contract is mistaken about a material fact. Mutual mistake occurs when both parties to a contract are mistaken about a material fact. Common mistake occurs when all parties to a contract are mistaken about a material fact.

Multiple choice

Which of the following is an example of a Hetvabhasa (logical fallacy) in Nyaya philosophy?

  1. Affirming the consequent

  2. Denying the antecedent

  3. Appeal to ignorance

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

Affirming the consequent is an example of a Hetvabhasa (logical fallacy) in Nyaya philosophy. It occurs when someone assumes that because the consequent of a conditional statement is true, the antecedent must also be true. This is a logical fallacy because the truth of the consequent does not necessarily imply the truth of the antecedent.

Multiple choice

What are the three types of inference in Nyaya philosophy?

  1. Deductive, inductive, and abductive

  2. Categorical, hypothetical, and disjunctive

  3. Valid, invalid, and sound

  4. Strong, weak, and fallacious
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are three types of inference in Nyaya philosophy: categorical (svārthanumāna), hypothetical (parārthanumāna), and disjunctive (vikalpanumāna).

Multiple choice

What is the law of contradiction in Nyaya philosophy?

  1. A statement cannot be both true and false at the same time

  2. A statement cannot be true in one respect and false in another

  3. A statement cannot be true for one person and false for another

  4. A statement cannot be true at one time and false at another
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The law of contradiction is one of the fundamental principles of Nyaya philosophy. It states that a statement cannot be both true and false at the same time.

Multiple choice

What is the law of excluded middle in Nyaya philosophy?

  1. A statement must be either true or false

  2. A statement cannot be both true and false

  3. A statement can be true for one person and false for another

  4. A statement can be true at one time and false at another
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The law of excluded middle is another fundamental principle of Nyaya philosophy. It states that a statement must be either true or false, there is no third possibility.

Multiple choice

What is the syllogism in Nyaya philosophy?

  1. A logical argument consisting of a major premise, a minor premise, and a conclusion

  2. A type of inference in which the conclusion is derived from two or more premises

  3. A method of reasoning in which a general principle is applied to a specific case

  4. A form of argument in which a conclusion is reached by examining the evidence
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The syllogism is a logical argument consisting of a major premise, a minor premise, and a conclusion. The major premise states a general principle, the minor premise applies the general principle to a specific case, and the conclusion draws a conclusion from the two premises.

Multiple choice

What are the three types of fallacies in Nyaya philosophy?

  1. Formal, informal, and material

  2. Deductive, inductive, and abductive

  3. Categorical, hypothetical, and disjunctive

  4. Valid, invalid, and sound
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

There are three types of fallacies in Nyaya philosophy: formal fallacies, informal fallacies, and material fallacies.

Multiple choice

What is the example Moore uses to illustrate the paradox?

  1. The sun is shining.

  2. I am thinking.

  3. 2 + 2 = 4.

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

Moore uses the example of the proposition 'The sun is shining' to illustrate the paradox. He argues that this proposition is true, even if no one believes it to be true.

Multiple choice

What is the 'paradox of analysis'?

  1. The idea that a proposition can be both true and false at the same time.

  2. The claim that all true propositions are analytic propositions.

  3. The argument that all analytic propositions are true propositions.

  4. The puzzle that arises from the fact that some propositions seem to be both analytic and synthetic.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The 'paradox of analysis' is the puzzle that arises from the fact that some propositions seem to be both analytic and synthetic. An analytic proposition is a proposition whose truth is determined solely by the meanings of its terms, while a synthetic proposition is a proposition whose truth is determined by the facts of the world. The paradox arises because there are some propositions that seem to have the characteristics of both analytic and synthetic propositions.

Multiple choice

What do you call a mathematician who is always arguing?

  1. A contentious mathematician

  2. A quarrelsome mathematician

  3. A polemical mathematician

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

Contentious means 'causing or likely to cause argument or disagreement'. A contentious mathematician is someone who is always arguing or causing arguments.

Multiple choice

What was the main point of contention in the debate over the proof of Fermat's Last Theorem?

  1. Whether Wiles' proof was correct

  2. Whether Fermat's Last Theorem was actually true

  3. Whether the proof could be simplified

  4. Whether the proof could be generalized to other mathematical problems
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The main point of contention in the debate over the proof of Fermat's Last Theorem was whether Wiles' proof was actually correct. Some mathematicians argued that there were errors in his proof, while others defended its validity.

Multiple choice

Which of the following is NOT a theory of meaning?

  1. Truth-conditional theory

  2. Referential theory

  3. Mental representation theory

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

Mental representation theory is a theory of consciousness, not a theory of meaning.