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Select a Counterexample for the Given Invalid Argument

Question 259

Multiple Choice

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


A) Counterexample in a domain of 2 members, in which: Ga: True Ha: True Ja: True Ka: True
Gb: True Hb: True Jb: True Kb: False
B) Counterexample in a domain of 2 members, in which: Ga: True Ha: True Ja: True Ka: True
Gb: False Hb: True Jb: True Kb: False
C) Counterexample in a domain of 2 members, in which: Ga: True Ha: True Ja: True Ka: False
Gb: True Hb: True Jb: True Kb: False
D) Counterexample in a domain of 2 members, in which: Ga: False Ha: True Ja: True Ka: True
Gb: False Hb: True Jb: True Kb: True
E) Counterexample in a domain of 2 members, in which: Ga: True Ha: False Ja: True Ka: True
Gb: True Hb: True Jb: False Kb: False

Correct Answer:

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