provide a conterexample in a finite domain to each given invalid argument.
-1. (∃x) (Dxa • Ex)
2) (∃x) (Dxa • Fx) / (∃x) (Ex • Fx)
A) Counterexample in a domain of one member, in which: Ea: True Fa: False Daa: True
B) Counterexample in a domain of one member, in which: Ea: False Fa: True Daa: False
C) Counterexample in a domain of two members, in which: Ea: True Fa: True Daa: True
Eb: True Fb: False Dba: False
D) Counterexample in a domain of two members, in which: Ea: True Fa: False Daa: False
Eb: False Fb: False Dba: True
E) Counterexample in a domain of two members, in which: Ea: True Fa: False Daa: True
Eb: False Fb: True Dba: True
Correct Answer:
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