The statement "p unless q" should not be translated as
A. p ⊃ q
B. ∼ p ⊃ q
C. ∼ q ⊃ p
D. p ∨ q
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Which one of the following is not the correct formulation of De morgan theorems?
A. ∼ (p ∨ q) ≡ (∼ p. ∼q)
B. ∼ (p.q) ≡ (∼ p.∨ ∼q)
C. ∼ (p.q) ≡ ∼ (p ∨ q)
D. ∼ (∼ p ∼ q) ≡ ∼ (p.q)
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Match the following:
List-I
List-II
a. •
1. And
b. ∨
2. Either . . . . . . . . or ..
c. ⊃
3. Implication
d. ≡
4. Equivalence
A. a-1, b-2, c-3, d-4
B. a-4, b-3, c-2, d-1
C. a-2, b-4, c-3, d-1
D. a-1, b-4, c-3, d-2
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If E, F and G are true statements and M and N are false statements, which one of the following is false?
A. ∼ (E . M) ∨ (F . N)
B. (G. N) ∨ (F ∨ M)
C. (E ∨ G) . (M ∨ F)
D. ∼ [F . G) ∨ ∼(E . N)]
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Consider the syllogism below and identify the fallacy involved in it.
All pets are domestic animals.
No lions are domestic animals.
Therefore, some lions are not pets.
A. Fallacy of exclusive terms
B. Fallacy of IIIicit minor
C. Existential fallacy
D. Fallacy of undistributed middle
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Propositional Logic refers to which branch?
A. All of the below
B. Logic
C. Epistemology
D. Metaphysics
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A consistent theory is a 'theory' full of contradictions
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What leads to the validity of an argument as valid, even if we take conclusion as false?
A. Inconsistency
B. Consistency
C. Contradiction
D. All of these
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Find out the fallacy committed in the syllogistic form AAI-1
A. Undistributed middle term
B. Illicit major
C. Illicit minor
D. Existential fallacy
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All events are things describable by philosophy
All mental decisions are events.
All mental decisions are things describable by philosophy
The argument is
A. inconclusive
B. invalid
C. valid
D. not a proper syllogism
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According to rule of syllogism, anything distributed in the conclusion must be distributed in at least one premise. The statement is
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Which one of the following is equivalent of ∼ p ⊃ q?
A. p ⊃ ∼ q
B. q ∨ p
C. q ⊃ ∼ P
D. q ⊂ p
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If the middle term is not distributed in any of the premises, then the syllogism becomes invalid and has the falllacy of
A. Illicit middle
B. Undistributed middle
C. Negative premises
D. None of these
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Match the following:
List-I
List-II
a. Two or more meanings of a word or phrase are used accidently or deliberately.
1. Fallacy of division
b. When the words are same but the lnterpretation of them are different in premise and conclusion.
2. Fallacy of composition
c. Premise where arguer assumers that whole is sum total of its parts.
3. Fallacy of equivocation
d. An argument where things are erroneously assign attributes to parts of a whole.
4. Fallacy of Amphiboly
A. a-1, b-3, c-2, d-4
B. a-2, b-4, c-3, d-1
C. a-3, b-4, c-2, d-1
D. a-4, b-3, c-2, d-1
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Sometimes in an argument we use more terms than middle, major and minor and due to this argument, fails to prove it's validity. The fallacy in such a case will be
A. Fallacy of undistributed middle
B. Fallacy of illicit major
C. Fallacy of four terms
D. None of the above
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Which one of the following forms represents 'De Morgans'
A. ∼ (p ∨ q) ≡ (∼ p . ∼ q)
B. p ∨ q
C. (p ⊃ q) ≡ (∼ p ∨ q)
D. [(p.q) ⊃ r] ≡ [p ⊃ (q ⊃ r)]
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Propositional logic is referred as
1. statements logic.
2. proposition which join entire proposition.
3. argument logic.
4. proposition does not join entire proposition.
Select the correct answer:
A. 1 and 3
B. 2 and 4
C. 1 and 4
D. 1 and 2
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Truth function is dependent on what?
A. The false value of antecedent
B. The false value of reflection
C. The false value of its constituents
D. The true value of its constituents
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p.q', 'p ∨ q', 'p ⊃ q' and 'p ≡ q' are all true, only when
A. p is true and q is false
B. Both p and q are false
C. p is false and q is true
D. Both p and q are true
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Given that p is true, both q and r are false, what can you tell about the truth value of ∼ [ p ≡ (q ⊃ r)] ⊃ ∼ [r ≡ (p ⊃ q)]?
A. Its truth value is false
B. Its truth value is true
C. Its truth value cannot be determined as the given information is not sufficient
D. Its truth value will be true in two cases, and it is contingent proposition
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