Use the Following Key to Determine Which of the Translations

question 139

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.
-If Gödel is a platonist, then Frege is a logicist. If Frege is a logicist, Brouwer being an intuitionist is a sufficient condition for Hilbert being a formalist. Gödel is a platonist. Gödel is a platonist if Hilbert is a formalist. Therefore, Gödel is a platonist if Brouwer is an intuitionist.

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

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