How real are real numbers?

Gregory Chaitin · UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência · 2011

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Author / responsible party

Gregory Chaitin

Publisher

UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência

Year

2011

ISSN

2317-630X

ISSN

2317-630X

Language

English

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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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APA 7

Chaitin, G. (2011). How real are real numbers?. https://doi.org/10.1590/S0100-60452011000100006

MLA

Chaitin, Gregory. "How real are real numbers?." 2011. https://doi.org/10.1590/S0100-60452011000100006.

Chicago

Chaitin, Gregory. 2011. "How real are real numbers?.". https://doi.org/10.1590/S0100-60452011000100006.

Harvard

Chaitin, G. 2011, How real are real numbers?, UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência, available at: https://doi.org/10.1590/S0100-60452011000100006 [Accessed 8 Aug. 2026].

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Title: How real are real numbers?

Author / contributors: Gregory Chaitin

Publisher: UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência

Publication year: 2011

ISSN: 2317-630X

ISSN: 2317-630X

Language: English

Subjects

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