If There Are Any Guards, Then If None of the Prisoners

question 36

Multiple Choice

If there are any guards, then if none of the prisoners escape, then they will be rewarded.

• A) (x){[Gx ⊃(y)(Py ⊃ ∼Ey)] ⊃ Rx}
• B) (x){Gx ⊃ [(∃y)(Py • ∼Ey) ⊃ Rx]}
• C) (∃x)Gx ⊃ [(y)(Py ⊃ ∼Ey) ⊃ Rx]
• D) (x){Gx ⊃ [(y)(Py ⊃ ∼Ey) ⊃ Rx]}
• E) (∃x){Gx • [(y)(Py ⊃ ∼Ey) ⊃ Rx]}

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Definitions:

Ethanol

A volatile, flammable, colorless liquid alcohol used as a fuel additive and in alcoholic beverages.

Government

The organization or system through which a community, state, or nation is governed and regulatory policies are implemented.

Subsidizes

Financial aid supplied by the government to an industry or business so that the price of a commodity or service may remain low or competitive.

Steel

A hard, strong alloy made primarily of iron and carbon, used extensively in construction and manufacturing.