Match List I and List II and select the correct answer from the codes given below : Codes : (a) (b) (c) (d)List I List II (a) ~ (p ∨ ~ p) (1) Identity (b) ~ (p • ~ p) (2) Contingency (c) ~ (p ⊃ q) (3) Tautology (d) p ⊃ p (4) Contradiction
(4) (3) (2) (1)
Compute each formula over the possible truth values of p (and q).
| List I | Working | List II |
|---|---|---|
| (a) ~ (p ∨ ~ p) | p ∨ ~ p is true in every row, so its negation is false in every row | (4) Contradiction |
| (b) ~ (p • ~ p) | p • ~ p is false in every row, so its negation is true in every row | (3) Tautology |
| (c) ~ (p ⊃ q) | true only when p is T and q is F, false otherwise; mixed values | (2) Contingency |
| (d) p ⊃ p | a statement implying itself; the form of the principle of identity | (1) Identity |
So the matching is (a)–(4), (b)–(3), (c)–(2), (d)–(1).
Hence, the answer is (4) (3) (2) (1).
Similar Questions
Which of the following is not the characteristics of an effective decision procedure ?
Correct formulation of the Rule U.I. (Universal Instantiation) is ........... .
Law of contradiction states that :
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent
Correct symbolization of the following proposition is — “All successful politicians and orators are hard-working”.
“Sudhir had not locked the gates yesterday. Either the watchman or Sudhir locks the gates. Therefore, the watchman must have locked the gates yesterday”. This argument is ..................... .
If the statement ‘p’ is true and the statement ‘q’ is false, the truth value of the statements ‘p ≡ ~ q’ and ‘~ q ⊃ ~ p’ are :
In the ranking of a competitive examination Vishal was above Vijay but below Shyam. Mohan was above Shyam but below Rohan. Vijay was between Vishal and Ashok. Who is third from the top ?
Ragini facing East walks 10 meter, then she turns to her left and walks 12 meter. Then she turns to her right in $45^o$ and walks 15 meter. Then, how much distance she has walked from the starting point and which direction is she facing now ?
In the Wason selection task for propositional reasoning, ‘participants develop a general idea of the rule, then construct examples that follow the rule’ is referred to as :
Important Questions from Deductive - Teaching
Which of the following is not the characteristics of an effective decision procedure ?
Correct formulation of the Rule U.I. (Universal Instantiation) is ........... .
Law of contradiction states that :
Characteristics of an Axiomatic systems are ................. .
(1) Consistency
(2) Completeness
(3) Independence
(4) Contingent
Correct symbolization of the following proposition is — “All successful politicians and orators are hard-working”.
