[PDF.19ax] The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals

The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals

[PDF.hy88] The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals

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 | #1319282 in Books |  2012-12-19 | Original language:English | PDF # 1 |  9.00 x.41 x6.00l,.55 | File type: PDF | 182 pages

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||24 of 24 people found the following review helpful.| Thought provoking and challenging|By BMean2Puki|The Continuity Debate summarizes the subject of continuity in mathematics, in particular its relationship to the set of real numbers and geometry, and by extension its utility to calculus and other applications which utilize infinitesimals. It summarizes and provides commentary on the views of Dedekind, Cantor, du Bois-Reymond,

The topic of this book is the historical struggle to define and defend a real number continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical and foundational assumptions, and each raises numerous philosophical questions of its own. As we shall see, attempts to formulate a non-geometrical mathematical continuity raise questions such as: What is a number? What, in particular, is a real number? What is the true nature o...

You easily download any file type for your device.The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals   |  Benjamin Lee Buckley. I really enjoyed this book and have already told so many people about it!

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