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  1. Unrealistic models for realistic computations: how idealisations help represent mathematical structures and found scientific computing.Philippos Papayannopoulos - 2020 - Synthese 199 (1-2):249-283.
    We examine two very different approaches to formalising real computation, commonly referred to as “Computable Analysis” and “the BSS approach”. The main models of computation underlying these approaches—bit computation and BSS, respectively—have also been put forward as appropriate foundations for scientific computing. The two frameworks offer useful computability and complexity results about problems whose underlying domain is an uncountable space. Since typically the problems dealt with in physical sciences, applied mathematics, economics, and engineering are also defined in uncountable domains, it (...)
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