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"Impossibility theorem" as a book category gathers works that explore rigorous results showing that certain seemingly reasonable goals cannot be achieved together — or at all — under specified assumptions. These books range from technical proofs and textbooks (e.g., Gödel, Turing, Arrow) to popular expositions and historical-philosophical treatments that explain the theorems' statements, assumptions, proofs, and real-world implications. Central themes include the limits of formal systems, computation, social choice, physics, or engineering; the role of hidden assumptions; how impossibility results reshape theory and policy; and strategies for workarounds, relaxations, or trade-offs. Readers can expect a mix of logical argument, historical context, case studies, and reflection on what such limits mean for knowledge, design, and decision-making.

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