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