Keywords
Omega number. Halting probability. Halting problem. Émile Borel. Turing oracles. Irreducible complexity.
How to Cite
CHAITIN, Gregory. HOW REAL ARE REAL NUMBERS?. Manuscrito: International Journal of Philosophy, 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.
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).References
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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