If the statement 'No professors are materialists' is assumed to be true, which…

2023

If the statement 'No professors are materialists' is assumed to be true, which of the following statements can be inferred to be true?

  1. A.

    All professors are materialists.

  2. B.

    Some professors are materialists.

  3. C.

    Some professors are not materialists.

  4. D.

    Some materialists are professors.

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Show answer & explanation

Correct answer: C

The premise states that no professors are materialists, meaning the two groups share no members. In standard logic, a universal negative statement like this implies that some professors are not materialists. Therefore, the option stating this particular negative inference is logically valid based on the given premise.

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