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Select a Counterexample for the Given Invalid Argument

Question 280

Multiple Choice

select a counterexample for the given invalid argument.
-1. (∃x) (Hx • Ix)
2) (∃x) (Hx • ∼Ix)
3) (∀x) (Jx ⊃ Ix) / (∀x) (Jx ⊃ Hx)


A) Counterexample in a domain of 3 members, in which: Ha: True Ia: True Ja: True
Hb: True Ib: False Jb: False
Hc: False Ic: True Jc: True
B) Counterexample in a domain of 3 members, in which: Ha: False Ia: True Ja: True
Hb: True Ib: True Jb: False
Hc: False Ic: True Jc: False
C) Counterexample in a domain of 3 members, in which: Ha: True Ia: True Ja: True
Hb: True Ib: False Jb: False
Hc: True Ic: True Jc: True
D) Counterexample in a domain of 3 members, in which: Ha: False Ia: True Ja: False
Hb: True Ib: False Jb: True
Hc: False Ic: True Jc: True
E) Counterexample in a domain of 3 members, in which: Ha: True Ia: False Ja: True
Hb: False Ib: False Jb: False
Hc: False Ic: False Jc: False

Correct Answer:

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