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New Berkeley paradox in the theory of limits

New Berkeley paradox in the theory of limits Purpose – The paper's aim is to reveal the return of the Berkeley paradox of the eighteenth century. Design/methodology/approach – This is a conceptual discussion. Findings – Since, long time ago, the common belief has been that the establishment and development of the theory of limits had provided an explanation for the Berkeley paradox. However, when the authors revisit some of the age‐old problems using the thinking logic of allowing both the concepts of potential and actual infinities, they find surprisingly that the shadow of the Berkeley paradox does not truly disappear in the foundation of mathematical analysis. Originality/value – Show the incompleteness of the theory of limits, which is not the same as what has been believed in the history of mathematics. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

New Berkeley paradox in the theory of limits

Kybernetes , Volume 37 (3/4): 8 – Apr 11, 2008

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Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920810863453
Publisher site
See Article on Publisher Site

Abstract

Purpose – The paper's aim is to reveal the return of the Berkeley paradox of the eighteenth century. Design/methodology/approach – This is a conceptual discussion. Findings – Since, long time ago, the common belief has been that the establishment and development of the theory of limits had provided an explanation for the Berkeley paradox. However, when the authors revisit some of the age‐old problems using the thinking logic of allowing both the concepts of potential and actual infinities, they find surprisingly that the shadow of the Berkeley paradox does not truly disappear in the foundation of mathematical analysis. Originality/value – Show the incompleteness of the theory of limits, which is not the same as what has been believed in the history of mathematics.

Journal

KybernetesEmerald Publishing

Published: Apr 11, 2008

Keywords: Cybernetics; Set theory; Mathematics

References