determine whether the given argument is valid or invalid. If it is invalid, select a counterexample.
-1. (∃x) [(Ax • Bx) • Cx]
2) (∀x) [(Ax • ∼Cx) ⊃ ∼Bx] / (∃x) (Ax • ∼Bx)
A) Valid
B) Invalid. Counterexample in a domain of 1 member, in which:
Aa: True Ba: True Ca: False
C) Invalid. Counterexample in a domain of 1 member, in which:
Aa: True Ba: False Ca: True
D) Invalid. Counterexample in a domain of 1 member, in which:
Aa: True Ba: True Ca: True
E) Invalid. Counterexample in a domain of 1 member, in which:
Aa: False Ba: True Ca: True
Correct Answer:
Verified
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