The Dentist Is Pleased If, and Only If, I Both

question 98

Multiple Choice

The dentist is pleased if, and only if, I both brush and floss. The dentist is not pleased, but I brush. So, I don't floss.
-Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?

• A) ∼P ≡ (B • F)
• B) ∼P ≡ ∼(B • F)
• C) ∼[P ≡ (B • F)]
• D) ∼(B • F) ≡ P
• E) None of the above

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Definitions:

Intellectual Development

The growth and change in mental capabilities and cognitive functions, including learning, reasoning, problem-solving, and decision-making.

Home Environment

The physical and emotional context provided by a person's living situation, which can significantly influence their well-being.

Socioeconomic Status

An indicator of where a person or family stands in terms of economic and social status, determined by their income, level of education, and type of job.

Sensorimotor Stage

The first stage of Piaget's theory of cognitive development, occurring from birth to about 2 years of age, where infants learn about the world through their senses and actions.