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The continuous and the infinitesimal in mathematics and philosophy

Author: J L Bell
Publisher: Milano (Italy) : Polimetrica, International Scientific Publisher, [2006] ©2006.
Series: Categories
Edition/Format:   Print book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: J L Bell
ISBN: 8876990151 9788876990151
OCLC Number: 326879360
Description: 352 pages : illustrations ; 25 cm.
Contents: Introduction --
Part I. The continuous, the discrete, and infinitesimal in the history of thought --
The continuous and the discrete in Ancient Greece, the Orient, and the European Middle Ages --
The 16th and 17th centuries: the founding of the infinitesimal calculus --
The 18th and early 19th centuries: the age of continuity --
The reduction of the continuous to the discrete --
Dissenting voices: divergent conceptions of the continuum --
Part II. Continuity and infinitesimals in today's mathematics --
Topology --
Category/topos theory --
Nonstandard analysis --
The continuum and constructive and intuitionistic mathematics --
Smooth infinitesimal analysis/synthetic differential geometry --
Coda.
Series Title: Categories
Responsibility: John L. Bell.

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