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Determine Whether the Given Argument Is Valid or Invalid

Question 116

Multiple Choice

determine whether the given argument is valid or invalid. If it is invalid, select a counterexample.
-1. (∀x) (Ax ⊃ Bx)
2) (∃x) (Ax • Cx) / ∼(∀x) (Bx ⊃ ∼Cx)


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

Correct Answer:

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