What is the other name of Propositional Logic?
A. Synthetic Logic
B. Statement Logic
C. Analytical Logic
D. Ethical Logic
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Sentential connective is used in which?
A. The value of formulas
B. The construction of formulas
C. The term of formulas
D. The concept of formulas
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Rules of inference are
1. applied when the main operators are in use.
2. nine in number.
3. applied only to entire statements.
4. not applied to entire statements.
Select the correct answer:
A. 1, 2 and 3
B. 2, 3 and 4
C. 1, 3 and 4
D. All of these
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A consistent theory is essential for which logic?
A. Classical inductive logic
B. Classical deductive logic
C. Classical ethics
D. Western ethics
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An axiomatic system is called complete when?
A. Every statement is negative
B. Dual statement is negative
C. Every statement is derivable
D. Every statement is possible
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Match the following:
List-I
List-II
a. Universal instantiation
1. ∀ × Σ × P(x) ⟶ P(c)
b. Universal generalisation
2. P(c) ⟶ ∀ × Σ × P(x)
c. Existential quantification
3. ∃ × Σ × P(x)
d. Axiomatic system
4. Consistency
A. a-1, b-2, c-3, d-4
B. a-4, b-3, c-2, d-1
C. a-4, b-2, c-3, d-1
D. a-1, b-4, c-3, d-2
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Which one of the following is equivalent to ∼ P ⊃ ∼ ∼ q?
A. q ⊃ ∼ p
B. q ∨ p
C. q ⊃ p
D. ∼ p ⊃ ∼ p
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Inclusive sense means
1. One disjunct are true.
2. Other disjunct are false.
3. Both disjunct are true.
4. Both disjunct are false.
Select the correct answer:
A. 1 and 3
B. 2 and 4
C. 3 and 4
D. All of these
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Fallacy of presumption is committed only when we make unnecessary dogmatic presumptions
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What is the other name of Modus Tollens?
A. Modus ponendo ponens
B. Modus tollends tollens
C. Chain reasoning
D. Modus tollendo ponens
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Disjunctive is referred as
1. ∨
2. ⊃
3. or
4. And
Select the correct answer:
A. 1 and 2
B. 2 and 3
C. 1 and 4
D. 1 and 3
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The dot (.) in the statement p.q is the connector used in the statements.
A. Conjunction
B. Compound
C. Categorical
D. Conditional
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Some good actor are not powerful athletes. Therefore, all professional wrestlers are good actor. All professional wrestlers are powerful athlets.
The syllogism involves the fallacy of
A. Exclusive premises
B. Illicit major
C. Drawing an affirmative conclusion from a negative premise
D. undistributed middles
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Quantification helps in what?
A. To interpret non-compound premise or compound
B. To interpret compound premises
C. To analyse premise
D. To judge premise
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If A and B are true statements and X and Y are false statements, the compound statement ∼ (A ∨ X) is
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Which one of the following rules of inference is employed in the argument.
[N ⊃ (O.P)] • [Q ⊃ (O.P)]
N ∨ Q
∴ (O.P) ∨ (O.R)
A. Hypothetical Syllogism
B. Disjunctive Syllogism
C. Constructive Dilemma
D. Modus Ponens
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Conjunction function deal with . . . . . . . .
A. seperating statements
B. connecting statements
C. negating statements
D. All of the above
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The invalidity of an argument can be proved through the shorter truth table technique in which of the following ways?
A. By assigning the 'True' truth value to both the premises and the conclusion
B. By assigning the 'False' truth value to both the premises and the conclusion
C. By assigning the 'False' truth value to the premises and 'True' truth villue to the conclusion
D. By assigning the 'True' truth value to the premises and 'False' truth value to the conclusion
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What is the truth value of following statement?
''Why are you late"?
A. True
B. False
C. Neither true nor False
D. None of these
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Find the equivalence by matching
List I with
List II and select the correct answer:
List-I
List-II
a. [(p.q) ⊃ r] ≡
1. [(p ⊃ q) . (q ⊃ p)]
b. [p ∨ (q.r)] ≡
2. ∼ p ∨ q
c. [(p ≡ q)] ≡
3. [p ⊃ (q ⊃ r)]
d. [p ⊃ q] ≡
4. [(p ∨ q) . (p ∨ r)]
A. a-1, b-3, c-4, d-2
B. a-2, b-4, c-3, d-1
C. a-4, b-3, c-1, d-2
D. a-3, b-4, c-1, d-2
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