Things Are Pleasant If, and Only If, They Are Not

question 62

Multiple Choice

Things are pleasant if, and only if, they are not too crowded. Everything too crowded is noisy. So if something isn't noisy, then something is pleasant.
-Which of the following is the best translation into M of this argument?

• A) (∀x)(Px ⊃ ∼Cx) (∀x)(Cx ⊃ Nx) / (∃x)(∼Nx • Px)
• B) (∀x)(Px ≡ ∼Cx) (∀x)(Cx ⊃ Nx) / ∼(∃x)Nx ⊃ (∃x)Px
• C) (∀x)(Px ⊃ ∼Cx) (∀x)(Cx ⊃ Nx) / (∃x)∼Nx ⊃ (∃x)Px
• D) (∀x)(Px ≡ ∼Cx) (∀x)(Cx ⊃ Nx) / (∃x)∼Nx ⊃ (∃x)Px
• E) (∀x)(Px ≡ ∼Cx) (∀x)(Cx ⊃ Nx) / (∃x)(∼Nx • Px)

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Definitions:

Affect Regulation

The methods or strategies individuals use to manage and respond to their emotional states.

Mood

A temporary emotional state or atmosphere that can influence an individual's outlook and behavior.

Antisocial

Exhibiting behaviors that are detrimental to or devoid of consideration for the well-being of others; often misanthropic or harmful.

Anger

A feeling that can range from slight annoyance to severe anger and wrath, usually sparked by perceived injustices or offenses.