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MMLU-Pro / 11222 / 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

category

philosophy

options

  1. 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.
  2. If my headache is a physical 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. Either everything is physical or everything is not 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 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.
  5. 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.
  6. 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.
  7. If my headache is a dualist state, then your tickle is a mental 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.
  8. If my headache is in a dualist state, then your tickle is not a physical state. Everything is either physical or mental. But my broken toe is not a physical state. So my headache is not a dualist state.
  9. 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 a mental state. So my headache is not a dualist state.

src

ori_mmlu-formal_logic

Discussion

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Source and history

upstream_id / Original problem ID
11222
task_id
791f2671-8eed-5a59-901f-8ff2011dca93
task_key
default--test--11222
task_revision_id
1
config / split
default / test

Official source

initial import