Abstract
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.
Keywords: real analysis; infinitesimals; decimal notation; procedures vs ontology
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.
Keywords: real analysis; infinitesimals; decimal notation; procedures vs ontology
Original language | American English |
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Article number | 15 |
Number of pages | 9 |
Journal | Philosophy of Mathematics Education Journal |
Volume | 33 |
State | Published - Jan 2018 |