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MMLU / Select the best English interpretation of the given arguments in predicate…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

 Select the best English interpretation of the given arguments in predicate logic.
Dh ⊃ ~Pt
(∀x)Px ∨ (∀x)Mx
~Mb	/ ~Dh

choices

  1. If my headache is dualist state, then your tickle is a physical state. Either everything is physical or everything is mental. But my broken toe is not a mental state. So my headache is not a dualist state.
  2. If my headache is dualist state, then your tickle is not a physical state. Either everything is physical or everything is mental. But my broken toe is not a mental state. So my headache is not a dualist state.
  3. If my headache is dualist state, then your tickle is not a physical state. If everything is physical then everything is mental. But my broken toe is not a mental state. So my headache is not a dualist state.
  4. If my headache is dualist state, then your tickle is not a physical state. Everything is either physical or mental. But my broken toe is not a mental state. So my headache is not a dualist state.

subject

formal_logic

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Source and history

Official source

initial import