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    Yildiz Culcu
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    The Paradox of the Logical Detective

    by Yildiz Culcu

    The Scenario

    In a prestigious logic institute, three renowned professors (A, B, and C) are found in the library. Each professor has written a statement about the others on a piece of paper. The institute’s detective needs to determine who is telling the truth and who is lying.

    Professor A wrote: “Either B is lying or C is telling the truth.”

    Professor B wrote: “If A is telling the truth, then C is lying.”

    Professor C wrote: “I am lying.”

    The Challenge

    Your task is to:

    1. Determine which professors are telling the truth and which are lying
    2. Prove your answer is the only possible solution
    3. Explain what makes Professor C’s statement particularly interesting

    Important Notes:

    • Each professor is either consistently telling the truth or lying
    • The statements should be evaluated simultaneously
    • Consider the logical implications of self-reference
    [/raw]
    Logical Paradox- Weekly Problem No.11

    Yildiz Culcu

    Hi, I'm Yildiz Culcu, a student of Computer Science and Philosophy based in Germany. My mission is to help people discover the joy of learning about science and explore new ideas. As a 2x Top Writer on Medium and an active voice on LinkedIn, and this blog, I love sharing insights and sparking curiosity. I'm an emerging Decision science researcher associated with the Max Planck Institute for Cognitive and Brain Sciences and the University of Kiel. I am also a Mentor, and a Public Speaker available for booking. Let's connect and inspire one another to be our best!

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