Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic First Order Logic
Consider the following statements:
S1 : ∀x P(x) ∨ ∀xQ(x) and ∀x(P(x) ∨ Q(x)) are not logically equivalent.
S2 : ∃x P(x) ∧ ∃x Q(x) and ∃x (P(x) ∧ Q(x)) are not logically equivalent
Which of the following statements is/are correct?
1
Only S1
2
Only S2
3
Both S1 and S2
4
Neither S1 and S2