Determine Whether the Given Argument Is Valid or Invalid $\lor$

question 125

Multiple Choice

determine whether the given argument is valid or invalid. If it is invalid, select a counterexample.
-1. (∃x) [Ax • (Bx $\lor$ Cx) ]
2) (∀x) (Bx ⊃ ∼Cx)
3) (∃x) Bx
4) Ca / (∃x) (Ax • Cx)

• A) Valid
• B) Counterexample in a domain of 2 members, in which:
• Aa: False Ba: False Ca: True
• Ab: False Bb: False Cb: False
• C) Counterexample in a domain of 2 members, in which: Aa: False Ba: False Ca: True
• Ab: True Bb: True Cb: False
• D) Counterexample in a domain of 2 members, in which: Aa: True Ba: True Ca: True
• Ab: True Bb: True Cb: False
• E) Counterexample in a domain of 2 members, in which: Aa: True Ba: True Ca: False
• Ab: False Bb: True Cb: False

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Definitions:

Dawes Act

A 1887 U.S. law aimed at assimilating Native Americans into American society by distributing tribal lands to individual members.

Haymarket Affair

A violent confrontation between police and labor protesters in Chicago in 1886, which became a symbol of the struggle for workers' rights.

Labor Movement

A social and political movement advocating for the rights and interests of working-class individuals, including better wages, working conditions, and labor laws.

Un-American

Activities or behaviors that are deemed contrary to the interests, ideals, or values of the United States or contrary to the patriotic sentiment.