Exercise 5.

In my safe is a sheet of paper with two shapes drawn on it in colored crayon. One is a square, and the other is a triangle. Each shape is drawn in a single color. Suppose you believe me when I tell you that if the square is blue, then the triangle is green. What do you therefore know about the truth value of the following statements?

  1. The square and the triangle are both blue.

    • True

    • False

    • Not enough information

  2. The square and the triangle are both green.

    • True

    • False

    • Not enough information

  3. If the triangle is not green, then the square is not blue.

    • True

    • False

    • Not enough information

  4. If the triangle is green, then the square is blue.

    • True

    • False

    • Not enough information

  5. The square is not blue or the triangle is green.

    • True

    • False

    • Not enough information

in-context