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MMLU / Use the following key to translate the given formula of PL to natural, English…

Problem

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question

 Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
~(A ⊃ B) • (B ⊃ ~E)

choices

  1. It's not the case that Marina's reading a Percy Jackson book entails that Izzy plays Minecraft, but Izzy's playing Minecraft does entail that Ashleigh doesn't stop by.
  2. If Marina doesn't read a Percy Jackson book, then Izzy plays Minecraft, which entails that Ashleigh doesn't stop by.
  3. Marina's reading a Percy Jackson book does not entail that Izzy plays Minecraft, but Izzy plays Minecraft provided that Ashleigh doesn't stop by.
  4. It's not true that Marina reads a Percy Jackson book only when Izzy plays Minecraft, but Izzy plays Minecraft only when Ashleigh stops by.

subject

formal_logic

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Source and history

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