Analyzing Benardete's comment on decimal notation
arXiv: Classical Analysis and ODEs（2017）
Abstract
Philosopher Benardete challenged both the conventional wisdom and the received mathematical treatment of zero, dot, nine recurring. An initially puzzling passage in Benardete on the intelligibility of the continuum reveals challenging insights into number systems, the foundations of modern analysis, and mathematics education. A key concept here is, in Terry Taou0027s terminology, that of an ultralimit. Keywords: real analysis; infinitesimals; decimal notation; procedures vs ontology
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