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HOW REAL ARE REAL NUMBERS?
PDF (Português (Brasil))

Palabras clave

Omega number. Halting probability. Halting problem. Émile Borel. Turing oracles. Irreducible complexity.

Cómo citar

CHAITIN, Gregory. HOW REAL ARE REAL NUMBERS?. Manuscrito: Revista Internacional de Filosofía, Campinas, SP, v. 34, n. 1, p. 115–141, 2015. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8642013. Acesso em: 21 jul. 2024.

Resumen

We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Émile Borel (1871–1956).
PDF (Português (Brasil))

Citas

FINCH, S. Mathematical constants. Cambridge University Press, 2003.

TURING, A. M. “On Computable Numbers, with an Application to the Entscheidungsproblem”. Proceedings of the London Mathematical Society, 2(42), p. 230–65, 1936.

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