Palavras-chave
Omega number. Halting probability. Halting problem. Émile Borel. Turing oracles. Irreducible complexity.
Como Citar
CHAITIN, Gregory. HOW REAL ARE REAL NUMBERS?. Manuscrito: Revista Internacional de Filosofia, 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: 26 abr. 2024.
Resumo
We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Émile Borel (1871–1956).Referências
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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