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Explaining Explanations: Computation, Proofs, and Hypotheses
This chapter explores the intricate relationship between explanations, computation, and mathematical proofs, questioning whether good explanations can be automated. It discusses the philosophical implications of proofs in mathematics, contrasting informal and formal methods, while also debating the validity of different approaches to hypothesis generation. Ultimately, the discussion emphasizes the human cognitive processes involved in forming explanations, revealing the challenges in applying formal methodologies to artificial intelligence and its development.