What Computers Cannot Do: The Consequences of Turing-Completeness

This article debunks the common misconception among programmers regarding the limitations and capabilities of computers by diving deep into the Halting Problem, Turing-completeness, and the consequences of universal Turing machines (UTMs). The author leverages his learning journey and experiences to highlight the hard and soft limits of computational abilities, emphasizing the significance of understanding what computers cannot do, which many programmers overlook. The insights are grounded in historical context, mathematical proofs, and practical implications, making a compelling case for the necessity of this fundamental programming knowledge.)

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