How real are real numbers?

Manuscrito 34 (1):115-141 (2011)
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Abstract

We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Émile Borel

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10.1590/s0100-60452011000100006

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Citations of this work

The philosophy of computer science.Raymond Turner - 2013 - Stanford Encyclopedia of Philosophy.
What is a Computer? A Survey.William J. Rapaport - 2018 - Minds and Machines 28 (3):385-426.
Hobson’s Conception of Definable Numbers.Zhao Fan - 2020 - History and Philosophy of Logic 41 (2):128-139.

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References found in this work

The Essential Turing.B. J. Copeland (ed.) - 2004 - Oxford University Press UK.
The Essential Turing.B. Jack Copeland - 2005 - Bulletin of Symbolic Logic 11 (4):541-542.
A New Kind of Science.Stephen Wolfram - 2002 - Bulletin of Symbolic Logic 10 (1):112-114.
Mathematics and the roots of postmodern thought.Vladimir Tasić - 2001 - New York: Oxford University Press.
Space and time.Emile Borel - 1926 - New York,: Dover Publications. Edited by A. S. Rappoport & John Dougall.

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