Logical equivalence rules – UGC NET Question

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U6 – Logical Reasoning and Indian Logic
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Concepts: conditional as disjunction de morgan and distribution logical equivalence simplification of arguments ugc net symbolic logic

Q: Select the wrong statement(s) about logical equivalence of compound statements:

(A) The conditional “If p then q” is logically equivalent to “Not p or q”;
(B) The conjunction “p and q” is logically equivalent to “Not (not p or not q)”;
(C) The disjunction “p or q” is logically equivalent to “Not (not p and not q)”;
(D) The expression “p and (q or r)” is logically equivalent to “(p and q)” only;
(E) In UGC NET symbolic logic, applying such equivalences helps simplify arguments;
Choose the correct answer from the options given below:

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