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Newton's Conception of a Limit as interpreted by Jurin and Robins respectively

Published online by Cambridge University Press:  20 January 2009

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In his recent book A History of the Conceptions of Limits and Fluxions in Great Britain from Neuton to Woodhouse (Chicago and London: The Open Court Publishing Company, 1919), as well as in a series of articles in the American Mathematical Monthly for 1915 on The History of Zeno's Arguments on Motion, Mr Cajori discusses certain aspects of the conception of a limit, and treats in considerable detail the controversy between Jurin and Robins that arose out of the publication of Berkeley's Analyst. I gave an account of the controversy in a paper that appears in Volume XVII. of our Proceedings, and as Mr Cajori's estimate of the respective merits of the contributions by Jurin and Robins differs greatly from mine, and as the conception of a limit is fundamental in modern mathematics I venture to draw the attention of the Society to the matter.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1921

References

* See, for example, Hardy, Course of Pure Mathematics (2nd Edition), p. 169, § 97.