Use the Following Key to Determine Which of the Translations

question 70

Multiple Choice

use the following key to determine which of the translations of the given English argument to PL is best.
B: Brouwer is an intuitionist.
F: Frege is a logicist.
G: Gödel is a platonist.
H: Hilbert is a formalist.
-Hilbert is a formalist if, and only if, Gödel is a platonist. Hilbert is not a formalist and Brouwer is an intuitionist. Hilbert is a formalist if Frege is a logicist. Therefore, Frege is not a logicist and Gödel is not a platonist.

• A) H ≡ G ∼H • B
• H ⊃ F / ∼F • ∼G
• B) H ≡ G ∼H • B
• F ⊃ H / ∼F • ∼G
• C) G ⊃ H ∼H • B
• F ⊃ H / ∼F • ∼G
• D) H ⊃ G ∼H • B
• F ⊃ H / ∼F • ∼G
• E) H ⊃ G ∼H • B
• H ⊃ F / ∼F • ∼G

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Definitions:

Limitations

Restrictions or boundaries that define the scope of a project, study, or endeavor, marking what is beyond the reach or capabilities.

Social Identity Theory

A psychological theory that explains how individuals categorize themselves and others into various social groups and how these group identifications influence their behavior and perceptions.

Stages

Distinct phases within a process or lifecycle characterized by unique features, challenges, and goals.

Rewards

Incentives or benefits given to individuals or groups to recognize and motivate specific achievements or behaviors.