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
What is the name of the semantics for modal logic developed by Saul Kripke?
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Possible worlds semantics
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Relational semantics
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Algebraic semantics
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Topological semantics
A
Correct answer
Explanation
Saul Kripke developed the semantics for modal logic known as possible worlds semantics.
Which of the following is a characteristic of possible worlds semantics for modal logic?
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It is a model-theoretic semantics
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It is a truth-conditional semantics
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It is a compositional semantics
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All of the above
D
Correct answer
Explanation
Possible worlds semantics for modal logic is a model-theoretic, truth-conditional, and compositional semantics.
What is the name of the system of deontic logic developed by Georg Henrik von Wright?
A
Correct answer
Explanation
Georg Henrik von Wright developed the system of deontic logic known as KD.
Which of the following is a characteristic of the KD system of deontic logic?
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It is a normal deontic logic
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It is a complete deontic logic
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It is a decidable deontic logic
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All of the above
D
Correct answer
Explanation
The KD system of deontic logic is a normal, complete, and decidable deontic logic.
Which of the following is considered a valid logical fallacy in Nyaya philosophy?
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Affirming the consequent
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Denying the antecedent
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Appeal to authority
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Ad hominem
A
Correct answer
Explanation
Affirming the consequent is a logical fallacy in Nyaya where the truth of the consequent is assumed to imply the truth of the antecedent, which is not necessarily the case.
Which of the following is a valid logical argument?
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If all men are mortal, and Socrates is a man, then Socrates is mortal.
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If all men are mortal, and Socrates is a philosopher, then Socrates is mortal.
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If all men are mortal, and Socrates is a dog, then Socrates is mortal.
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If all men are mortal, and Socrates is a cat, then Socrates is mortal.
A
Correct answer
Explanation
The first option is a valid logical argument because it follows the rules of syllogism. The second and third options are invalid because the premises do not logically imply the conclusion. The fourth option is invalid because the premise "Socrates is a cat" is false.
Which of the following is an example of a logical fallacy in economics?
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Post hoc ergo propter hoc
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Appeal to authority
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Straw man
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All of the above
D
Correct answer
Explanation
A logical fallacy is an error in reasoning that makes an argument invalid. Post hoc ergo propter hoc is the fallacy of assuming that because one event follows another, the first event caused the second. Appeal to authority is the fallacy of relying on the opinion of an expert without considering the evidence. Straw man is the fallacy of attacking a weak version of an opponent's argument instead of the actual argument.
What is the basic structure of the Infinite Regress Argument?
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If A causes B, then there must be a C that causes A.
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If A is true, then there must be a B that makes A true.
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If A exists, then there must be a B that brought A into existence.
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If A is possible, then there must be a B that makes A possible.
A
Correct answer
Explanation
The Infinite Regress Argument typically begins with the premise that if A causes B, then there must be a C that causes A. This premise is then used to generate an infinite series of causes, each of which is caused by the previous cause.
According to Stalnaker, what is the truth-maker for the proposition "The grass is green"?
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The fact that the grass is green
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The state of affairs in which the grass is green
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The possible world in which the grass is green
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The belief that the grass is green
B
Correct answer
Explanation
Stalnaker argues that the truth-maker for a proposition is the state of affairs that makes the proposition true. In the case of the proposition "The grass is green", the truth-maker is the state of affairs in which the grass is green.
What is a possible world, according to Stalnaker?
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A world that is logically possible
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A world that is physically possible
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A world that is metaphysically possible
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All of the above
D
Correct answer
Explanation
Stalnaker argues that possible worlds are worlds that are logically, physically, and metaphysically possible. This means that possible worlds are worlds that are consistent with the laws of logic, the laws of physics, and the laws of metaphysics.
What is the name of the mathematical principle that states that for any set of axioms, there exists a model in which all the axioms are true?
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Completeness Theorem
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Incompleteness Theorem
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Gödel's Theorem
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Zorn's Lemma
A
Correct answer
Explanation
The Completeness Theorem, often attributed to Kurt Gödel, asserts that for any set of axioms in first-order logic, if the axioms are consistent, then there exists a model in which all the axioms hold true.
According to minimalism, what is a proposition?
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A statement that is either true or false.
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A mental representation of a state of affairs.
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A linguistic expression that can be used to make a statement.
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A belief that is held to be true.
A
Correct answer
Explanation
Minimalists define a proposition as a statement that is either true or false.
Which of the following is an example of a contingent entity?
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The existence of the universe
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The laws of physics
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The existence of life
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The existence of human beings
A
Correct answer
Explanation
The existence of the universe is an example of a contingent entity because it does not exist in all possible worlds. It is possible to conceive of a world in which the universe does not exist.
What is the modal status of the statement '2 + 2 = 4'?
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Necessary
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Contingent
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Possible
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Impossible
A
Correct answer
Explanation
The modal status of the statement '2 + 2 = 4' is necessary because it is true in all possible worlds.
What is the modal status of the statement 'The universe is infinite'?
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Necessary
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Contingent
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Possible
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Impossible
B
Correct answer
Explanation
The modal status of the statement 'The universe is infinite' is contingent because it is possible for it to be true in some possible worlds and false in others.