A History of Folding in Mathematics
Mathematizing the Margins
Authors: Friedman, Michael
Free Preview Provides a lucid exposition on the history of the mathematical concept of folding starting from the 16^{th} century
 Researches the various ways in which mathematical knowledge was and is marginalized
 Surveys clearly the ways in which mathematical research and mathematical inference procedures were changing during the centuries
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 About this book

While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments – the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few questions immediately arise: Why did paper folding become a noninstrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised?
Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete.
In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.  Reviews

“Friedman’s new book is the first modern scholarly account of the history of mathematical paper folding. … His insights and detailed scholarship make this an invaluable source book for anyone interested in the history of mathematics. … Summing Up: Recommended. Upperdivision undergraduates and above.” (R. L. Pour, Choice, Vol. 56 (05), January, 2019)
 Table of contents (6 chapters)


Introduction
Pages 128

From the Sixteenth Century Onwards: Folding Polyhedra—New Epistemological Horizons?
Pages 2991

Prolog to the Nineteenth Century: Accepting Folding as a Method of Inference
Pages 93112

The Nineteenth Century: What Can and Cannot Be (Re)presented—On Models and Kindergartens
Pages 113269

The Twentieth Century: Towards the Axiomatization, Operationalization and Algebraization of the Fold
Pages 271354

Table of contents (6 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 A History of Folding in Mathematics
 Book Subtitle
 Mathematizing the Margins
 Authors

 Michael Friedman
 Series Title
 Science Networks. Historical Studies
 Series Volume
 59
 Copyright
 2018
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer International Publishing AG, part of Springer Nature
 eBook ISBN
 9783319724874
 DOI
 10.1007/9783319724874
 Hardcover ISBN
 9783319724867
 Series ISSN
 14216329
 Edition Number
 1
 Number of Pages
 XV, 419
 Number of Illustrations
 92 b/w illustrations, 42 illustrations in colour
 Topics