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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Definitions:

Lawful Instruction

Refers to directives or orders given that are within the bounds of the law and ought to be followed by the recipients.

Apparent Authority

A situation in which a reasonable third party would understand that an agent had authority to act, even if the agent did not have actual authority.

Express Agency

A type of agency relationship explicitly agreed upon by the principal and agent, either orally or in writing.

Implied Agency

A type of agency relationship created by actions of the parties involved rather than a written agreement, suggesting that one party agrees to act on behalf of another.