Reasoning

Logic and Fallacies

1,803 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

What is the main idea behind constructive mathematics?

  1. To only accept proofs that are constructive

  2. To reject the law of the excluded middle

  3. To use only finitary methods

  4. To avoid the use of infinity
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Constructive mathematics is a branch of mathematics that only accepts proofs that are constructive, meaning that they provide a way to actually construct the object that is being proven to exist. This is in contrast to classical mathematics, which allows for non-constructive proofs, such as proofs by contradiction.

Multiple choice

What are some of the open problems in intuitionistic logic and constructive mathematics?

  1. The continuum hypothesis

  2. The Goldbach conjecture

  3. The Riemann hypothesis

  4. The P versus NP problem
Reveal answer Fill a bubble to check yourself
Correct answer
Explanation

The continuum hypothesis, the Goldbach conjecture, the Riemann hypothesis, and the P versus NP problem are all open problems in mathematics that have been studied using intuitionistic logic and constructive mathematics.

Multiple choice

What is a geometric proof?

  1. A proof that uses geometric figures to illustrate the steps of the proof

  2. A proof that uses logical symbols to represent the steps of the proof

  3. A proof that uses both geometric figures and logical symbols

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

A geometric proof is a proof that uses both geometric figures and logical symbols to illustrate the steps of the proof.

Multiple choice

What is a hypothesis?

  1. A guess about the natural world

  2. A law of nature

  3. A theory

  4. A fact
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A Correct answer
Explanation

A hypothesis is a tentative explanation for a phenomenon that is based on evidence and observation. It is not a law of nature or a theory, but it can be tested and modified as new evidence is gathered.

Multiple choice

Which of the following is an example of a paradox that can be interpreted in multiple ways?

  1. Love is blind.

  2. Truth is stranger than fiction.

  3. The more you give, the more you receive.

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

Love is blind, truth is stranger than fiction, and the more you give, the more you receive are all examples of paradoxes that can be interpreted in multiple ways. Love is blind can mean that love makes people ignore the flaws of the person they love, or it can mean that love is a powerful emotion that can overcome any obstacle. Truth is stranger than fiction can mean that real life is often more strange and unbelievable than anything that could be made up, or it can mean that the truth is often hidden or obscured. The more you give, the more you receive can mean that the more you give to others, the more you will receive in return, or it can mean that the more you give of yourself, the more you will grow as a person.

Multiple choice

How is vyapti used in everyday life?

  1. It helps us to make predictions about the future.

  2. It helps us to understand the causes of events.

  3. It helps us to make decisions.

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

Vyapti is used in everyday life to make predictions about the future, to understand the causes of events, and to make decisions. For example, we can use our knowledge of vyapti to predict that if we turn on the light switch, the light will come on. We can also use our knowledge of vyapti to understand why we get sick when we eat contaminated food. And we can use our knowledge of vyapti to make decisions about what to do when we are faced with a difficult situation.

Multiple choice

What is the name of the set of all sets that do not contain themselves?

  1. Russell's Paradox

  2. Cantor's Paradox

  3. Zeno's Paradox

  4. Hilbert's Paradox
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Russell's Paradox, also known as the Russell-Zermelo Paradox, is a logical contradiction that arises when considering the set of all sets that do not contain themselves.

Multiple choice

What are the three types of inference in Nyaya?

  1. Deductive, inductive, and abductive

  2. Categorical, hypothetical, and disjunctive

  3. Affirmative, negative, and universal

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

The three types of inference in Nyaya are categorical, hypothetical, and disjunctive.

Multiple choice

What is the syllogism in Nyaya?

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

  2. A logical argument consisting of a premise and a conclusion.

  3. A logical argument consisting of two premises and a conclusion.

  4. A logical argument consisting of three premises and a conclusion.
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.

Multiple choice

What are the four types of fallacies in Nyaya?

  1. Formal fallacies, informal fallacies, material fallacies, and verbal fallacies

  2. Deductive fallacies, inductive fallacies, abductive fallacies, and syllogistic fallacies

  3. Categorical fallacies, hypothetical fallacies, disjunctive fallacies, and syllogistic fallacies

  4. Affirmative fallacies, negative fallacies, universal fallacies, and particular fallacies
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The four types of fallacies in Nyaya are formal fallacies, informal fallacies, material fallacies, and verbal fallacies.

Multiple choice

What is the logical relationship between obligation and permission?

  1. Contraries

  2. Contradictories

  3. Subcontraries

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

Obligation and permission are contraries, meaning that they cannot both be true of the same action at the same time, but both can be false.

Multiple choice

What is the logical relationship between obligation and prohibition?

  1. Contraries

  2. Contradictories

  3. Subcontraries

  4. Equivalents
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Obligation and prohibition are contradictories, meaning that they cannot both be true of the same action at the same time, and they cannot both be false.

Multiple choice

What is the logical relationship between permission and prohibition?

  1. Contraries

  2. Contradictories

  3. Subcontraries

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

Permission and prohibition are subcontraries, meaning that they cannot both be true of the same action at the same time, but they can both be false.

Multiple choice

What is the most common type of normative reasoning?

  1. Deductive reasoning

  2. Inductive reasoning

  3. Abductive reasoning

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

Deductive reasoning is the most common type of normative reasoning, in which a conclusion is derived from a set of premises that are assumed to be true.

Multiple choice

What is the fallacy of affirming the consequent?

  1. Assuming that the conclusion of an argument is true because the premises are true.

  2. Assuming that the premises of an argument are true because the conclusion is true.

  3. Assuming that a necessary condition is also a sufficient condition.

  4. Assuming that a sufficient condition is also a necessary condition.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The fallacy of affirming the consequent is assuming that the premises of an argument are true because the conclusion is true, which is a logical fallacy.