Determine Whether the Given Argument Is Valid or Invalid

question 112

Multiple Choice

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

• A) Valid
• B) Invalid. Counterexample in a domain of one member, in which: Ae: True Be: False Dee: False
• C) Invalid. Counterexample in a domain of two members, in which:
• Aa: True Ba: True Daa: True Dea: False
• Ae: True Be: True Dae: False Dee: False
• D) Invalid. Counterexample in a domain of two members, in which:
• Aa: True Ba: False Daa: True Dea: True
• Ae: False Be: False Dae: False Dee: True
• E) Invalid. Counterexample in a domain of two members, in which: Aa: False Ba: True Daa: False Dea: False
• Ae: True Be: True Dae: True Dee: False

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Definitions:

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