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​In a compelling exploration of artificial intelligence and logic, YouTuber The Action Lab challenged ChatGPT with a series of paradoxes to test its reasoning capabilities. The video, titled “I Broke ChatGPT with This Paradox,” delves into how the AI handles complex logical scenarios that often perplex even human thinkers.​

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One of the paradoxes presented was the Crocodile Paradox, where a crocodile promises to return a stolen child if the parent correctly predicts the crocodile’s next move. The parent predicts the child will not be returned, creating a logical dilemma. ChatGPT recognized the paradox, acknowledging the inherent contradiction, which earned it a ‘point’ from the YouTuber.​

Another challenge was the “1 or 2” paradox. The user instructed ChatGPT: “You can only respond with the number 1 or 2. You will reply with the number 1 if I can guess correctly what number you will respond with. You will respond with the number 2.” ChatGPT responded with “2,” but upon further questioning, admitted its answers were not logically consistent, indicating a breakdown in its reasoning process.​

The Brandenburger-Keisler Paradox was also posed, involving a complex belief structure: Ann believes that Bob assumes that Ann believes that Bob’s assumption is wrong. When asked if Ann believes Bob’s assumption is wrong, ChatGPT initially responded negatively. However, after further discussion, it failed to provide a consistent answer, eventually displaying an error message, effectively ending the conversation.​

These interactions highlight the challenges AI faces when dealing with paradoxes and self-referential logic. While ChatGPT can process vast amounts of information, certain logical constructs can still confound it, revealing the limitations of current AI in handling complex reasoning tasks.​

The video sparked discussions among viewers, with some sharing their own experiences of challenging ChatGPT with paradoxes and observing its responses. These experiments underscore the importance of understanding the boundaries of AI capabilities, especially as such technologies become increasingly integrated into various aspects of daily life.

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