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Another Face of the Archimedean Property
Robert Kantrowitz and Michael Neumann
The College Mathematics Journal
Vol. 46, No. 2 (March 2015), pp. 139-141
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.46.2.139
Page Count: 3
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We show that the Archimedean property for an abstract ordered field is equivalent to several convergence conditions from calculus, most notably the validity of the geometric series test.
THE MATHEMATICAL ASSOCIATION OF AMERICA