Use the Following Key to Determine Which of the Translations $\lor$

question 239

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.
-It is not the case that either Frege is a logicist or Brouwer is an intuitionist. Gödel being a platonist is necessary and sufficient for Brouwer being an intuitionist. Hilbert is a formalist. So, Gödel is not a platonist; however, Hilbert is a formalist.

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

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