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When is .999... less than 1?

When is .999... less than 1?

Authors :
Katz, Karin Usadi
Katz, Mikhail G.
Publication Year :
2010
Publisher :
arXiv, 2010.

Abstract

We examine alternative interpretations of the symbol described as nought, point, nine recurring. Is "an infinite number of 9s" merely a figure of speech? How are such alternative interpretations related to infinite cardinalities? How are they expressed in Lightstone's "semicolon" notation? Is it possible to choose a canonical alternative interpretation? Should unital evaluation of the symbol .999 . . . be inculcated in a pre-limit teaching environment? The problem of the unital evaluation is hereby examined from the pre-R, pre-lim viewpoint of the student.<br />28 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi...........07ea6438ca00c08bdc1381b895510eb0
Full Text :
https://doi.org/10.48550/arxiv.1007.3018