Owen Will Be Happier If, and Only If, He Either $\lor$

question 42

Multiple Choice

Owen will be happier if, and only if, he either practices the cello or quits music lessons. It is not that case that Owen quits music lessons only if he'll be happier. So, it is not the case that he both never sleeps and doesn't practice.
-Consider assuming 'N • ∼P' for an indirect proof of the given argument. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for indirect proof?

• A) N
• B) ∼P • N
• C) ∼(∼Q \( \lor \) H)
• D) (P \( \lor \) Q) ≡ H
• E) All of the above

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Definitions:

Unionization Interest

Represents the level of enthusiasm or concern among workers regarding forming or joining a labor union to represent their interests.

Strike Replacements

Workers who are hired to fill the positions of striking workers during a labor dispute.

Labor Law Reform

The process of reviewing and amending laws governing labor and employment to address current challenges and promote fair labor practices.

Grassroots Labor Movement

A labor movement organized and initiated by the common workers, focusing on local issues and advocating for worker rights at the base level.