Politician or Mathmatician

Logic Level 1

In the country Logicala, everyone is either a politician or a mathematician. Mathematicians always tell the truth and politicians always tell lies.

One day, three people from Logicala meet: Joe, Jane, and Jim.

  • Joe whispers to Jane, telling her either “I am a politician” or “I am a mathematician.”
  • Jane tells Jim, “Joe claims to be a mathematician.”
  • Jim replies, “That's wrong—Joe is a politician.”

How many of the three people are mathematicians?

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