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For two centuries after Newton, science pursued the ambition of total knowledge: the belief that precise laws, given a complete description of the present, could determine the past and future. Yet developments across chaos theory, thermodynamics, logic, quantum theory, cosmology, information theory, and modern physics have revealed distinct limits to prediction, description, and completeness. Building on earlier studies by Nicholas Rescher, John D. Barrow, and Noson Yanofsky, this essay asks what kinds of incompleteness arise when scientific description is made from within the world it describes. It proposes an aetolgoical taxonomy of these theoretical limits to science. It argues not that science is impossible or that all limits share one cause, but that these boundaries expose a recurring tension between final description and accessibility to a situated observer. It traces the roots of how science learned to work productively without the ideal of total closure.
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David Rosenfeld (2026) studied this question.
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