%0 Journal Article
%T How real are real numbers?
%A Chaitin
%A Gregory
%J Manuscrito
%D 2011
%I Universidade Estadual de Campinas
%R 10.1590/S0100-60452011000100006
%X we discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of ¨Śmile borel (1871-1956).
%K omega number
%K halting probability
%K halting problem
%K ¨Śmile borel
%K turing oracles
%K irreducible complexity.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0100-60452011000100006&lng=en&nrm=iso&tlng=en