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Select a Counterexample for the Given Invalid Argument

Question 166

Multiple Choice

select a counterexample for the given invalid argument.
-1. (∃x) (∼Ax ≡ Cx)
2) (∃x) (Ax • Cx)
3) (∀x) (Bx ⊃ Ax) / (∀x) (Cx ⊃ Bx)


A) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
Ab: True Bb: True Cb: False
B) Counterexample in a domain of 2 members, in which: Aa: False Ba: False Ca: True
Ab: True Bb: True Cb: False
C) Counterexample in a domain of 2 members, in which: Aa: True Ba: True Ca: True
Ab: True Bb: True Cb: False
D) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
Ab: False Bb: True Cb: False
E) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
Ab: True Bb: False Cb: True

Correct Answer:

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