Use the Following Key to Determine Which of the Translations

question 238

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 Frege is a logicist, then Brouwer is an intuitionist. If Brouwer is an intuitionist, then Gödel is a platonist only if Hilbert is a formalist. Gödel is a platonist. Frege is a logicist. So, Hilbert is a formalist.

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

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Definitions:

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