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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.
(∃x)(Cx • Ox)
(∀x)[(~Cx ⊃ ~Bx) ⊃ ~Og]	/ ~Og

choices

  1. Some cookies have oatmeal. If something's not being a cookie entails that it doesn't have chocolate chips, then this cookie doesn't have oatmeal. So this cookie doesn't have oatmeal.
  2. Some cookies have oatmeal. If something is not a cookie and does not have chocolate chips, it doesn't have oatmeal. So this cookie doesn't have oatmeal.
  3. Some cookies have oatmeal. If something doesn't have oatmeal, then it is not a cookie and it doesn't have chocolate chips. So this cookie doesn't have oatmeal.
  4. Some cookies have oatmeal. If something's not having chocolate chips entails that it is not a cookie, then it doesn't have oatmeal. So this cookie doesn't have oatmeal.

subject

formal_logic

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Source and history

Official source

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