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Determine Whether the Given Argument Is Valid or Invalid D) Invalid

Question 180

Multiple Choice

determine whether the given argument is valid or invalid. If it is invalid, select a counterexample.
-1. (?x) [Lx ? (?y) (My • Nxy) ]
2) (?x) [Lx • (?y) Nxy] / (?x) [Mx • (?y) Nyx]


A) Valid
B) Invalid. Counterexample in a domain of one member, in which:
La: True Ma: True Naa: False
C) Invalid. Counterexample in a domain of two members, in which:
 La: False  Ma: True  Naa: True  Nba: True  Lb:True  Mb: True  Nab: True  Nbb: False \begin{array}{llll}\text { La: False } & \text { Ma: True } & \text { Naa: True } & \text { Nba: True } \\\text { Lb:True } & \text { Mb: True } & \text { Nab: True } & \text { Nbb: False }\end{array}

D) Invalid. Counterexample in a domain of two members, in which:
 La: True  Ma: False  Naa: True  Nba: False  Lb: False  Mb: True  Nab: True  Nbb: False \begin{array}{llll}\text { La: True } & \text { Ma: False } & \text { Naa: True } & \text { Nba: False } \\\text { Lb: False } & \text { Mb: True } & \text { Nab: True } & \text { Nbb: False }\end{array}

E) Invalid. Counterexample in a domain of two members, in which: La: True Ma: False Naa: True Nba: True
Lb: False Mb: True Nab: False Nbb: False

Correct Answer:

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