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

question 240

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 and Brouwer is an intuitionist, then Hilbert is a formalist and Gödel is a platonist. Hilbert is not a formalist. Brouwer is an intuitionist. Either Frege is a logicist or both Gödel is not a platonist and Brouwer is an intuitionist. Therefore, Gödel is not a platonist.

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

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Definitions:

Negritude

A cultural movement begun in the 1930s by French-speaking black intellectuals, celebrating black culture and heritage.

Southern Theory

An approach in sociology that highlights the importance of perspectives, theories, and insights from the Global South in understanding global social dynamics.

Western World

Refers to societies and nations, primarily in Europe and the Americas, characterized by democratic forms of government, capitalist economies, and Christian cultural influences.

White Social Capital

The benefits and resources accrued by individuals through their membership in predominantly white social networks or communities.