Exclusive disjunct holds
1. Atleast one of the disjunct is true
2. Atleast one of the disjunct is false
A. 1 Only
B. 2 Only
C. Both 1 and 2
D. Neither 1 nor 2
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Either we will eat pizza or icecream. What kind of statement is this
A. Disjunctive
B. Conjunction
C. Negation
D. Categorical
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What are the methods to do decision procedures?
1. Truth Table
2. Shorter Truth Table
3. Reduction ad Absurdum
4. Algorithm
A. 1 and 2
B. 2 and 3
C. 1 and 4
D. 1, 2 and 3
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Match the following:
List-I
List-II
a. Universal instantiation
1. (x) (Qx) ∴ (Qv)
b. Universal generalisation
2. Q y ∴ (x) (Qx)
c. Existential instantiation
3. (∃x) (Qx) ∴ qu
d. Existential generalisation
4. Q v ∴ (∃x) (Qx)
A. a-1, b-2, c-3, d-4
B. a-2, b-3, c-1, d-4
C. a-4, b-3, c-2, d-1
D. a-1, b-4, c-3, d-2
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Which combination of fallacies occur if the rule "Any term distributed in the conclusion must be distributed in the premises" is not followed.
A. Undistributed middle and Illicit major
B. Undistributed middle and fallacy of Exclusive premises
C. Illicit major and Illicit minor
D. Fallacy of exclusive premises and Illicit major
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When we have the truth values in all the resulting table than it is called
A. Valid argument
B. Tautology
C. Sound argument
D. All of these
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Truth table is used to determine what?
A. All possible false values
B. All possible truth values
C. Subsequent negative value
D. Antecedent negative value
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Consider the follwoing argument-form and identify the rule of inference involved in it from option given below.
A. Hypothetical Syllogism
B. Modus Tollens
C. Disjunctive Syllogism
D. Constructive Dilemma
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The phrase "there is at least one object(x) such that" is the auxillary form of
A. universal proposition
B. individual variable
C. particular proposition
D. quantification of statement
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In axiomatic system, axiom is regarded as what?
A. Dependent
B. Independent
C. Reflective
D. Reason
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A compound proposition's truth or falsity is unequivocally determined by whom?
A. Truth of its consequent
B. Falsity of its consequent
C. Truth or falsity of its components of all cases
D. Truth or falsity of its antecedent of all cases
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No mathematicians are musicians.
All mathematicians are scientists.
∴ No scientists are musicians.
In this syllogism, there is a fallacy of
A. Exclusive premise
B. Illicit minor
C. Undistributed middle
D. All of the above
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Consider the following statements
1. All valid arguments have only true premises.
2. A sound argument must be valid.
3. An argument with a false conclusion cannot be valid.
4. All arguments with true conclusion are valid.
Which of the statements given above is/are correct?
A. 2 and 4
B. Only 4
C. 1 and 2
D. 3 and 4
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Another name of material equivalence is what?
A. Conditional proposition
B. External proposition
C. Biconditional proposition
D. Complex proposition
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A truth function is referred as
1. set of truth values.
2. infinite number of truth values.
3. finite number of truth values.
4. set of false values.
Select the correct answer:
A. 1 and 3
B. 2 and 4
C. 1 and 2
D. 1 and 4
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P 1 → Some Spaniels are not good hunters P 2 → All Spaniels are gentle dogs C → ∴ No gentle dogs are good hunters
This syllogism involves the fallacy of
A. Illicit minor
B. Illicit major
C. Undistributed middle
D. Exclusive premises
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Which one to the following symbolic forms represents the principle of Identity correctly?
A. P ⋅ ∼ P
B. P ∨ ∼ P
C. p ⊃ p
D. P ⊃ ∼ P
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In the statement, if all the variables are false than it is called contingent statement.
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How many rules of inference give formal proof of validity?
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No astrologers are scientists.
Some scientists are not magicians.
Some magicians are not astrologers.
This syllogism involves the fallacy of
A. Undistributed middle
B. Exclusive minor
C. Exclusive premise
D. Four term fallacy
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