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Home >> Tech Path >> Logic 101 Introduction to Logic Logic Puzzle If Jack has an A, and all X's are A's, then does Jack definitely have an X? What we know: From above we know two facts: 1. Jack has an A (apple) 2. All X's are A's We would not assume that: 1. All A's are X's 2. Jack's A is an X (red apple) Logically Why? Just because all X's are apples does not mean all apples are X's. We know Jack has an apple, but whether it's an X or not is not clear. Since we would be wrong to assume all apples are X's, then we might be wrong to assume Jack's apple is an X. That's not to say we know Jack's apple is not an X. The truth is, we don't have enough information to determine if Jack's apple is an X or not. Solving Logic Puzzle  Consider what if X stood for a red apple. Then we know Jack has an apple; we know all red apples are apples. But we don't know if Jack's apple is red or