Select the Best Translation into Predicate Logic, Using the Following

question 158

Multiple Choice

select the best translation into predicate logic, using the following translation key:
h: Hume
l: Locke
Px: x is a philosopher
Rx: x is a rationalist
Ixy: x influenced y
Sxy: x is more skeptical than y
-If some rationalist is more skeptical than Locke, then no philosopher influenced Hume.

• A) (∃x)(Rx • Sxl) ⊃ (∀x)(Px ⊃ ∼Ixh)
• B) (∃x)[(Rx • Sxl) ⊃ (∀y)(Py ⊃ ~Iyh)]
• C) (∃x)[(Rx • Sxl) ⊃ ~(∃y)(Py ⊃ ~Iyh)]
• D) (∃x)(Rx • Sxl) ⊃ ~(∃x)(Px ⊃ ~Ixh)
• E) (∃x)[(Rx • Sxl) ⊃ (Px ⊃ ~Ixh)]

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Definitions:

Countercyclical Payments

Financial payments made by the government to individuals or businesses during economic downturns to stimulate the economy.

Direct Payments

Cash subsidies paid to farmers based on past production levels; a permanent transfer payment unaffected by current crop prices and current production.

Marketing Loans

Loans provided to agricultural producers, typically by a government, using the harvested crops as collateral, allowing farmers to hold their products for higher future prices.

Absolute Increases

Refers to outright growth in a specific numerical value, such as income, over a period, without adjustments for factors like inflation.