In this quiz, A level logic quiz, we will basically be talking about what logic is all about, the definition, what tautology and contradiction in mathematical logic is all about as this quiz with 15 questions has been solely set on the tautology and contradiction of mathematical statements.
Mathematical logic is the application of mathematical techniques to logic. Tautology is a situation whereby the truth values on the last column of a truth table are all true and a contradiction is the reverse of a tautology as in all the truth values in the last column of the truth table are all false.
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Which of the following propositions is tautology?
Which of the proposition is p^ (~ p v q) is
Which of the following is/are tautology?
Logical expression ( A^ B) → ( C' ^ A) → ( A ≡ 1) is
Identify the valid conclusion from the premises Pv Q, Q → R, P → M, ˥M
Let a, b, c, d be propositions. Assume that the equivalence a ↔ (b v ˥b) and b ↔ c hold. Then truth value of the formula ( a ^ b) → ((a ^ c) v d) is always
Which of the following is a declarative statement?
P → (Q → R) is equivalent to
Which of the following are tautologies?
If F1, F2 and F3 are propositional formulae such that F1 ^ F2 → F3 and F1 ^ F2→F3 are both tautologies, then which of the following is TRUE?
Consider two well-formed formulas in propositional logic
F1 : P →˥P F2 : (P →˥P) v ( ˥P →)
Which of the following statement is correct?
What can we correctly say about proposition P1:
P1 : (p v ˥q) ^ (q →r) v (r v p)
(P v Q) ^ (P → R )^ (Q →S) is equivalent to
The functionally complete set is
(P v Q) ^ (P→R) ^ (Q → R) is equivalent to