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Manuscrito 2011
How real are real numbers?DOI: 10.1590/S0100-60452011000100006 Keywords: omega number, halting probability, halting problem, émile borel, turing oracles, irreducible complexity. Abstract: we discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of émile borel (1871-1956).
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