Analyzing Benardete's comment on decimal notation

Jacques Bair, Piotr Błaszczyk, Karin Usadi Katz, Mikhail Katz, T. Kudryk, David Sherry

Research output: Contribution to journalArticlepeer-review

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
Original languageAmerican English
Article number15
Number of pages9
JournalPhilosophy of Mathematics Education Journal
Volume33
StatePublished - Jan 2018

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