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Philosophy · all questions

Modern Symbolic logic
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What is the other name of Propositional Logic?

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Sentential connective is used in which?

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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.
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A consistent theory is essential for which logic?

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An axiomatic system is called complete when?

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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

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Which one of the following is equivalent to ∼ P ⊃ ∼ ∼ q?

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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.
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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?

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Disjunctive is referred as
1. ∨
2. ⊃
3. or
4. And
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The dot (.) in the statement p.q is the connector used in the statements.

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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

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Quantification helps in what?

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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)

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Conjunction function deal with . . . . . . . .

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The invalidity of an argument can be proved through the shorter truth table technique in which of the following ways?

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What is the truth value of following statement?
''Why are you late"?

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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)]

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