Philosophical and Mathematical Takedown of Artificial General Intelligence: Why Non-Learnable Enviro

The Infinite Doors Dilemma: Why AGI is Impossible is not another book about the future of artificial intelligence. It is a funeral for its most dangerous fantasy: Artificial General Intelligence (AGI)-the dream of a machine that can solve any problem, answer any question, and surpass human intelligence in every domain. The book begins with a deceptively simple thought experiment. Imagine an infinite number of doors. Behind one door lies success. After every attempt, the doors are reshuffled randomly. Before each choice, an informant gives you a hint-but this informant tells the truth exactly 50% of the time and lies 50% of the time, with no pattern to learn. Every wrong choice costs you. This is the Infinite Doors Dilemma. It is not a puzzle to be solved. It is a mirror held up to the entire AGI project. What does this mirror reveal? First, a mathematical impossibility: non-learnable environments exist. No algorithm, regardless of its size, training data, or computational power, can ever outperform random guessing in such an environment. Second, an ethical impossibility: no consistent, computable moral system exists. Large language models do not understand ethics-they parrot patterns. Third, a physical impossibility: Landauer's principle and the Bekenstein bound prove that any AGI would require infinite energy and infinite information storage, violating the fundamental laws of thermodynamics. But the book goes further. It asks uncomfortable questions that engineers and investors avoid. Would human society ever accept an intelligence superior to itself? History says no. Would the AGI accept us? Likely not. What would the AGI race actually cost? Trillions of dollars-money that could end global poverty or cure malaria. And what happens when each "solution" creates harder problems? An infinite regress. The final chapters offer an alternative: ASK (Artificial Systems of Knots)-humble AI that recognizes its own limits, says "I don't know," and keeps humans at the center of every decision. This is not a book of Luddite fear. It is a book of hard mathematics, serious philosophy, and practical wisdom.