Buckley, Benjamin Lee

The Continuity Debate

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ISBN 13:
9780983700487
author:
Buckley, Benjamin Lee
format:
Paperback
publisher:
Docent Press
language:
English
Publication Year:
2012
Pages:
182
Dimensions:
22.91 x 15.19 x 0.99 centimetres
Genre:
Science, Mathematics, History & Philosophy,
Condition:
New
Availability:
Item usually sent within 7 working days
£17.44

Description

The Continuity Debate: A Historical Exploration of Mathematical Continuum. This book delves into the historical struggle to define and defend a real number continuum that can fulfill the requirements of limit theory. The development of such definitions was deeply rooted in philosophical and foundational assumptions, raising numerous questions about the nature of continuity and the role of infinitesimals. The author examines the relationship between this real number continuum and other well-known continua, such as the geometrical straight line. The main question addressed in the book is whether mathematical continuity exists at all. To answer this, the author explores various philosophical perspectives on continuity, including those of prominent mathematicians and philosophers. By examining the historical development of these ideas, the book provides a nuanced understanding of the challenges faced by mathematicians in defining continuity. Through its exploration of the continuity debate, this book offers insights into the fundamental questions that have driven mathematical inquiry for centuries.

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