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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